/
principles.cl
executable file
·1651 lines (1614 loc) · 64.3 KB
/
principles.cl
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;;; Modifications by Anders Weinstein 2002-2008
;;; Modifications by Brett van de Sande, 2005-2008
;;; Copyright 2009 by Kurt Vanlehn and Brett van de Sande
;;; This file is part of the Andes Intelligent Tutor Stystem.
;;;
;;; The Andes Intelligent Tutor System is free software: you can redistribute
;;; it and/or modify it under the terms of the GNU Lesser General Public
;;; License as published by the Free Software Foundation, either version 3
;;; of the License, or (at your option) any later version.
;;;
;;; The Andes Solver is distributed in the hope that it will be useful,
;;; but WITHOUT ANY WARRANTY; without even the implied warranty of
;;; MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
;;; GNU Lesser General Public License for more details.
;;;
;;; You should have received a copy of the GNU Lesser General Public License
;;; along with the Andes Intelligent Tutor System. If not, see
;;; <http://www.gnu.org/licenses/>.
;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;
;;;;
;;;; list of PSMclasses grouped into catagories
;;;;
(defparameter *principle-tree*
'(((:LABEL . "Kinematics")
(:ITEMS
((:LABEL . "Translational")
(:ITEMS
((:PSM . SDD))
((:PSM . AVG-VELOCITY) (:BINDINGS (?AXIS . X)))
((:PSM . AVG-VELOCITY) (:BINDINGS (?AXIS . Y)))
((:PSM . LK-NO-S)
(:EQNFORMAT
"a(avg)<sub>~a</sub> = (vf<sub>~a</sub> - vi<sub>~a</sub>)/t"
(AXIS-NAME ?AXIS) (AXIS-NAME ?AXIS) (AXIS-NAME ?AXIS))
(:BINDINGS (?AXIS . X)))
((:PSM . LK-NO-S)
(:EQNFORMAT
"a(avg)<sub>~a</sub> = (vf<sub>~a</sub> - vi<sub>~a</sub>)/t"
(AXIS-NAME ?AXIS) (AXIS-NAME ?AXIS) (AXIS-NAME ?AXIS))
(:BINDINGS (?AXIS . Y)))
((:PSM . LK-NO-VF) (:BINDINGS (?AXIS . X)))
((:PSM . LK-NO-VF) (:BINDINGS (?AXIS . Y)))
((:PSM . LK-NO-S) (:BINDINGS (?AXIS . X)))
((:PSM . LK-NO-S) (:BINDINGS (?AXIS . Y)))
((:PSM . LK-NO-T) (:BINDINGS (?AXIS . X)))
((:PSM . LK-NO-T) (:BINDINGS (?AXIS . Y)))
((:PSM . SDD-CONSTVEL) (:BINDINGS (?AXIS . X)))
((:PSM . SDD-CONSTVEL) (:BINDINGS (?AXIS . Y)))
((:PSM . CONST-V) (:BINDINGS (?AXIS . X)))
((:PSM . CONST-V) (:BINDINGS (?AXIS . Y)))
((:PSM . CENTRIPETAL-ACCEL))
((:PSM . CENTRIPETAL-ACCEL-COMPO) (:BINDINGS (?AXIS . X)))
((:PSM . CENTRIPETAL-ACCEL-COMPO) (:BINDINGS (?AXIS . Y)))
((:PSM . RELATIVE-VEL) (:BINDINGS (?AXIS . X)))
((:PSM . RELATIVE-VEL) (:BINDINGS (?AXIS . Y)))
((:PSM . NET-DISP) (:BINDINGS (?AXIS . X)))
((:PSM . NET-DISP) (:BINDINGS (?AXIS . Y)))
((:PSM . FREE-FALL-ACCEL))
((:PSM . STD-CONSTANT-G))
((:PSM . PERIOD-CIRCLE))))
((:LABEL . "Rotational")
(:ITEMS
((:PSM . ANG-SDD))
((:PSM . RK-NO-S))
((:PSM . RK-NO-S)
(:EQNFORMAT . "α(avg)<sub>z</sub> = (ωf<sub>z</sub> - ωi<sub>z</sub>)/t"))
((:PSM . RK-NO-VF))
((:PSM . RK-NO-T))
((:PSM . LINEAR-VEL))
((:PSM . ROLLING-VEL))))))
((:LABEL . "Newton's Laws")
(:ITEMS
((:LABEL . "Translational")
(:ITEMS
((:PSM . NSL) (:BINDINGS (?AXIS . X)))
((:PSM . NSL) (:BINDINGS (?AXIS . Y)))
((:PSM . NET-FORCE) (:BINDINGS (?AXIS . X)))
((:PSM . NET-FORCE) (:BINDINGS (?AXIS . Y)))
((:PSM . NTL))
((:PSM . NTL-VECTOR) (:BINDINGS (?AXIS . X)))
((:PSM . NTL-VECTOR) (:BINDINGS (?AXIS . Y)))
((:PSM . UG))
((:LABEL . "Force Laws")
(:ITEMS
((:PSM . WT-LAW))
((:PSM . KINETIC-FRICTION))
((:PSM . STATIC-FRICTION))
((:PSM . SPRING-LAW))
((:PSM . TENSIONS-EQUAL))
((:PSM . THRUST-FORCE))
((:PSM . THRUST-FORCE-VECTOR) (:BINDINGS (?AXIS . X)))
((:PSM . THRUST-FORCE-VECTOR) (:BINDINGS (?AXIS . Y)))
((:PSM . DRAG-FORCE-TURBULENT))))
((:LABEL . "Compound Bodies")
(:ITEMS
((:PSM . MASS-COMPOUND))
((:PSM . VOLUME-COMPOUND))
((:PSM . KINE-COMPOUND) (:BINDINGS (?VEC-TYPE . VELOCITY)))
((:PSM . KINE-COMPOUND) (:BINDINGS (?VEC-TYPE . ACCELERATION)))
((:PSM . FORCE-COMPOUND))))))
((:LABEL . "Rotational")
(:ITEMS
((:PSM . NFL-ROT))
((:PSM . NSL-ROT))
((:PSM . MAG-TORQUE))
((:PSM . TORQUE) (:BINDINGS (?XYZ . X)))
((:PSM . TORQUE) (:BINDINGS (?XYZ . Y)))
((:PSM . TORQUE) (:BINDINGS (?XYZ . Z)))
((:PSM . NET-TORQUE-ZC))
((:LABEL . "Moment of Inertia")
(:ITEMS
((:PSM . I-PARTICLE))
((:PSM . PARALLEL-AXIS-THEOREM))
((:PSM . I-DISK-CM))
((:PSM . I-ROD-CM))
((:PSM . I-ROD-END))
((:PSM . I-HOOP-CM))
((:PSM . I-RECT-CM))
((:PSM . I-COMPOUND))))))))
((:LABEL . "Work Energy and Power")
(:ITEMS
((:PSM . WORK))
((:PSM . NET-WORK))
((:PSM . WORK-NC))
((:PSM . WORK-ENERGY))
((:PSM . MECHANICAL-ENERGY))
((:PSM . CHANGE-ME))
((:PSM . CONS-ENERGY))
((:PSM . POTENTIAL-ENERGY-DEFINITION))
((:PSM . KINETIC-ENERGY))
((:PSM . ROTATIONAL-ENERGY))
((:PSM . GRAV-ENERGY))
((:PSM . GRAVITATIONAL-ENERGY-POINT))
((:PSM . HEIGHT-DY))
((:PSM . SPRING-ENERGY))
((:PSM . ELECTRIC-ENERGY))
((:PSM . POWER))
((:PSM . NET-POWER))
((:PSM . INST-POWER))
((:PSM . SPHERICAL-INTENSITY-TO-POWER))
((:PSM . UNIFORM-INTENSITY-TO-POWER))
((:PSM . NET-INTENSITY))
((:PSM . INTENSITY-TO-DECIBELS))
((:PSM . INTENSITY-TO-DECIBELS)
(:EQNFORMAT . "I = Iref 10<sup>β/10</sup>"))
((:PSM . INTENSITY-TO-POYNTING-VECTOR-MAGNITUDE))))
((:LABEL . "Momentum and Impulse")
(:ITEMS
((:LABEL . "Translational")
(:ITEMS
((:PSM . MOMENTUM-COMPO) (:BINDINGS (?AXIS . X)))
((:PSM . MOMENTUM-COMPO) (:BINDINGS (?AXIS . Y)))
((:PSM . CONS-LINMOM) (:BINDINGS (?AXIS . X)))
((:PSM . CONS-LINMOM) (:BINDINGS (?AXIS . Y)))
((:PSM . CONS-KE-ELASTIC))
((:PSM . IMPULSE-FORCE) (:BINDINGS (?AXIS . X)))
((:PSM . IMPULSE-FORCE) (:BINDINGS (?AXIS . Y)))
((:PSM . IMPULSE-MOMENTUM) (:BINDINGS (?AXIS . X)))
((:PSM . IMPULSE-MOMENTUM) (:BINDINGS (?AXIS . Y)))
((:PSM . NTL-IMPULSE))
((:PSM . NTL-IMPULSE-VECTOR) (:BINDINGS (?AXIS . X)))
((:PSM . NTL-IMPULSE-VECTOR) (:BINDINGS (?AXIS . Y)))
((:PSM . CENTER-OF-MASS-COMPO) (:BINDINGS (?AXIS . X)))
((:PSM . CENTER-OF-MASS-COMPO) (:BINDINGS (?AXIS . Y)))))
((:LABEL . "Rotational")
(:ITEMS
((:PSM . ANG-MOMENTUM))
((:PSM . CONS-ANGMOM))))))
((:LABEL . "Fluids")
(:ITEMS
((:PSM . PRESSURE-HEIGHT-FLUID))
((:PSM . BERNOULLI))
((:PSM . EQUATION-OF-CONTINUITY))
((:PSM . PRESSURE-FORCE))
((:PSM . DENSITY))
((:PSM . ARCHIMEDES))
((:PSM . PRESSURE-AT-OPEN-TO-ATMOSPHERE))
((:PSM . STD-CONSTANT-PR0) (:BINDINGS . 0))))
((:LABEL . "Electricity and Magnetism")
(:ITEMS
((:PSM . CHARGED-PARTICLES))
((:PSM . COULOMB))
((:PSM . COULOMB-COMPO) (:BINDINGS (?AXIS . X)))
((:PSM . COULOMB-COMPO) (:BINDINGS (?AXIS . Y)))
((:PSM . CHARGE-FORCE-EFIELD-MAG))
((:PSM . CHARGE-FORCE-EFIELD) (:BINDINGS (?AXIS . X)))
((:PSM . CHARGE-FORCE-EFIELD) (:BINDINGS (?AXIS . Y)))
((:PSM . POINT-CHARGE-EFIELD-MAG))
((:PSM . POINT-CHARGE-EFIELD) (:BINDINGS (?AXIS . X)))
((:PSM . POINT-CHARGE-EFIELD) (:BINDINGS (?AXIS . Y)))
((:PSM . NET-FIELD-ELECTRIC) (:BINDINGS (?AXIS . X)))
((:PSM . NET-FIELD-ELECTRIC) (:BINDINGS (?AXIS . Y)))
((:PSM . ELECTRIC-FLUX-CONSTANT-FIELD))
((:PSM . ELECTRIC-FLUX-CONSTANT-FIELD-CHANGE))
((:PSM . SUM-FLUXES))
((:PSM . POINT-CHARGE-POTENTIAL))
((:PSM . NET-POTENTIAL))
((:PSM . ELECTRIC-ENERGY))
((:PSM . GAUSS-LAW))
((:PSM . ELECTRIC-DIPOLE-MOMENT-MAG))
((:PSM . ELECTRIC-DIPOLE-MOMENT) (:BINDINGS (?AXIS . X)))
((:PSM . ELECTRIC-DIPOLE-MOMENT) (:BINDINGS (?AXIS . Y)))
((:PSM . ELECTRIC-DIPOLE-TORQUE-MAG))
((:PSM . ELECTRIC-DIPOLE-TORQUE) (:BINDINGS (?AXIS . Z)))
((:PSM . ELECTRIC-DIPOLE-ENERGY))
((:PSM . CHARGE-FORCE-BFIELD-MAG))
((:PSM . CHARGE-FORCE-BFIELD) (:BINDINGS (?AXIS . X)))
((:PSM . CHARGE-FORCE-BFIELD) (:BINDINGS (?AXIS . Y)))
((:PSM . CHARGE-FORCE-BFIELD) (:BINDINGS (?AXIS . Z)))
((:PSM . CURRENT-FORCE-BFIELD-MAG))
((:PSM . BIOT-SAVERT-POINT-PARTICLE-MAG))
((:PSM . BIOT-SAVERT-POINT-PARTICLE) (:BINDINGS (?AXIS . X)))
((:PSM . BIOT-SAVERT-POINT-PARTICLE) (:BINDINGS (?AXIS . Y)))
((:PSM . BIOT-SAVERT-POINT-PARTICLE) (:BINDINGS (?AXIS . Z)))
((:PSM . STRAIGHT-WIRE-BFIELD))
((:PSM . CENTER-COIL-BFIELD))
((:PSM . INSIDE-SOLENOID-BFIELD))
((:PSM . NET-FIELD-MAGNETIC) (:BINDINGS (?AXIS . X)))
((:PSM . NET-FIELD-MAGNETIC) (:BINDINGS (?AXIS . Y)))
((:PSM . NET-FIELD-MAGNETIC) (:BINDINGS (?AXIS . Z)))
((:PSM . MAGNETIC-FLUX-CONSTANT-FIELD))
((:PSM . MAGNETIC-FLUX-CONSTANT-FIELD-CHANGE))
((:PSM . FARADAYS-LAW))
((:PSM . AMPERES-LAW))
((:PSM . MAGNETIC-DIPOLE-MOMENT-MAG))
((:PSM . MAGNETIC-DIPOLE-MOMENT) (:BINDINGS (?AXIS . X)))
((:PSM . MAGNETIC-DIPOLE-MOMENT) (:BINDINGS (?AXIS . Y)))
((:PSM . MAGNETIC-DIPOLE-MOMENT) (:BINDINGS (?AXIS . Z)))
((:PSM . MAGNETIC-DIPOLE-TORQUE-MAG))
((:PSM . MAGNETIC-DIPOLE-TORQUE) (:BINDINGS (?AXIS . X)))
((:PSM . MAGNETIC-DIPOLE-TORQUE) (:BINDINGS (?AXIS . Y)))
((:PSM . MAGNETIC-DIPOLE-TORQUE) (:BINDINGS (?AXIS . Z)))
((:PSM . MAGNETIC-DIPOLE-ENERGY))
((:PSM . ELECTROMAGNETIC-WAVE-FIELD-AMPLITUDE))))
((:LABEL . "Circuits")
(:ITEMS
((:PSM . LOOP-RULE))
((:PSM . JUNCTION-RULE))
((:PSM . ELECTRIC-POWER))
((:LABEL . "Resistance")
(:ITEMS
((:PSM . EQUIV-RESISTANCE-SERIES))
((:PSM . EQUIV-RESISTANCE-PARALLEL))
((:PSM . OHMS-LAW))))
((:LABEL . "Capacitance")
(:ITEMS
((:PSM . CAPACITANCE-DEFINITION))
((:PSM . EQUIV-CAPACITANCE-PARALLEL))
((:PSM . EQUIV-CAPACITANCE-SERIES))
((:PSM . CHARGE-SAME-CAPS-IN-BRANCH))
((:PSM . JUNCTION-RULE-CAP))
((:PSM . CAP-ENERGY))
((:PSM . RC-TIME-CONSTANT))
((:PSM . CHARGING-CAPACITOR-AT-TIME))
((:PSM . DISCHARGING-CAPACITOR-AT-TIME))
((:PSM . CURRENT-IN-RC-AT-TIME))
((:PSM . CHARGE-CAPACITOR-PERCENT-MAX))))
((:LABEL . "Inductance")
(:ITEMS
((:PSM . INDUCTOR-EMF))
((:PSM . MUTUAL-INDUCTOR-EMF))
((:PSM . INDUCTOR-ENERGY))
((:PSM . SOLENOID-SELF-INDUCTANCE))
((:PSM . LR-TIME-CONSTANT))
((:PSM . LR-CURRENT-GROWTH))
((:PSM . LR-GROWTH-IMAX))
((:PSM . LR-CURRENT-DECAY))
((:PSM . LR-DECAY-IMAX))
((:PSM . LC-ANGULAR-FREQUENCY))
((:PSM . RLC-TIME-CONSTANT))
((:PSM . RLC-ANGULAR-FREQUENCY))
((:PSM . TRANSFORMER-VOLTAGE))
((:PSM . TRANSFORMER-POWER))))))
((:LABEL . "Optics")
(:ITEMS
((:PSM . LENS-EQN))
((:PSM . MAGNIFICATION-EQN))
((:PSM . FOCAL-LENGTH-MIRROR))
((:PSM . LENS-COMBO))
((:PSM . COMBO-MAGNIFICATION))
((:PSM . COMPOUND-FOCAL-LENGTH))
((:PSM . WAVE-SPEED-REFRACTION))
((:PSM . REFRACTION-VACUUM))
((:PSM . SNELLS-LAW))
((:PSM . TOTAL-INTERNAL-REFLECTION))
((:PSM . BREWSTERS-LAW))
((:PSM . POLARIZER-INTENSITY) (:BINDINGS (?FRACTION . 1)))
((:PSM . POLARIZER-INTENSITY) (:BINDINGS (?FRACTION . 0)))
((:PSM . SLIT-INTERFERENCE))
((:PSM . FRAUENHOFER-DIFFRACTION))
((:PSM . RESOLUTION-CIRCULAR-APERTURE))
((:PSM . RADIATION-PRESSURE))))
((:LABEL . "Waves and Oscillations")
(:ITEMS
((:PSM . WAVENUMBER-LAMBDA-WAVE))
((:PSM . FREQUENCY-OF-WAVE))
((:PSM . PERIOD-OF-WAVE))
((:PSM . SPEED-OF-WAVE))
((:PSM . SPEED-EQUALS-WAVE-SPEED))
((:PSM . WAVE-SPEED-STRING))
((:PSM . MAX-TRANSVERSE-SPEED-WAVE))
((:PSM . MAX-TRANSVERSE-ABS-ACCELERATION-WAVE))
((:PSM . SPRING-MASS-OSCILLATION))
((:PSM . PENDULUM-OSCILLATION))
((:PSM . DOPPLER-FREQUENCY))
((:PSM . HARMONIC-OF))
((:PSM . BEAT-FREQUENCY))
((:PSM . ENERGY-DECAY))
((:PSM . WAVE-SPEED-LIGHT))))
((:LABEL . "Vectors and geometry")
(:ITEMS
((:PSM . PROJECTION) (:BINDINGS (?AXIS . X)))
((:PSM . PROJECTION) (:BINDINGS (?AXIS . Y)))
((:PSM . PYTH-THM))
((:PSM . VECTOR-MAGNITUDE))
((:PSM . UNIT-VECTOR-MAG))
((:PSM . COMPLIMENTARY-ANGLES))
((:PSM . SUPPLEMENTARY-ANGLES))
((:PSM . RIGHT-TRIANGLE-TANGENT))
((:PSM . AREA-OF-RECTANGLE))
((:PSM . AREA-OF-RECTANGLE-CHANGE))
((:PSM . AREA-OF-CIRCLE))
((:PSM . CIRCUMFERENCE-OF-CIRCLE-R))
((:PSM . CIRCUMFERENCE-OF-CIRCLE-D))
((:PSM . VOLUME-OF-CYLINDER))))
((:LABEL . "Connect Quantities")
(:ITEMS
((:PSM . EQUALS))
((:PSM . ANGLE-DIRECTION))
((:PSM . DISPLACEMENT-DISTANCE))
((:PSM . CURRENT-THRU-WHAT))
((:PSM . NUM-FORCES))
((:PSM . GIVEN-FRACTION))
((:PSM . OPPOSITE-RELATIVE-POSITION))
((:PSM . RELATIVE-POSITION-DISPLACEMENT) (:BINDINGS (?AXIS . X)))
((:PSM . RELATIVE-POSITION-DISPLACEMENT) (:BINDINGS (?AXIS . Y)))
((:PSM . SUM-TIMES))
((:PSM . SUM-DISTANCES))
((:PSM . SUM-DISTANCE))
((:PSM . CONNECTED-ACCELS))
((:PSM . CONNECTED-VELOCITIES))
((:PSM . TENSIONS-EQUAL))
((:PSM . RDIFF) (:BINDINGS (?AXIS . X)))
((:PSM . RDIFF) (:BINDINGS (?AXIS . Y)))
((:PSM . MASS-PER-LENGTH-EQN))
((:PSM . TURNS-PER-LENGTH-DEFINITION))
((:PSM . AVERAGE-RATE-OF-CHANGE))))))
;;;
;;; List of Andes distribution homework sets
;;;
;; Warning: this list contains problems that are not working (or don't
;; exist) yet. One should filter out non-applicable problems.
(defparameter *sets*
'("All Andes problems"
(
("Vectors" (vec1ay vec1a vec1b vec1c vec1d vec1e vec1f vec2a vec2b vec2c vec2d vec2e vec2f vec3a vec3b vec3c vec3dy vec4a vec4b vec4c vec4d vec5a vec5b vec5c vec5d vec6a vec6b vec6c vec6d vec7a vec8a vec8b vec8c vec9 relvel1a relvel2a relvel3a mot1 mot2 mot3 mot4 mot5 vec20 vec21))
("Kinematics Graphs" (kgraph1 kgraph2 kgraph3 kgraph4 kgraph5 kgraph5b kgraph5c kgraph5d kgraph5e kgraph5f kgraph6 kgraph7 kgraph8 kgraph8b kgraph8c kgraph8d kgraph8e kgraph8f kgraph8g kgraph9 kgraph9b kgraph10 kgraph10b kgraph11 kgraph12 kgraph13 kgraph14 kgraph16 kgraph17 kgraph18 kgraph19 kgraph20 kgraph21 kgraph22 kgraph30 kgraph31))
("Translational Kinematics" (kq1 kt1a kt1b kt2a kt2b kt3a kt3b kt4a kt4b kt4c kt5a kt6a kt6b kt7a kt7b kt8a kt8b kt9a kt9b kt9c kt10a kt10c kt11ay kt11a kt11b kt11c kt12a kt12b kt12c kt13a kt13b kt13c kt13d kt14a kt14b kt20 kt21))
("Free Body Diagrams" (fbd1a fbd1b fbd2a fbd3a fbd4a fbd5a fbd6a fbd8 fbd9 fbd10 fbd11 fbd12 fbd13 fbd14 fbd15 fbd16))
("Statics" (s1a s1b s1c s1d s1e s1f s2a s2b s2c s2d s2e s3a s3b s3c s4a s4b s5a s6a s7a s7b s8a s9a s10a s11a s11b s12a s13 s14 s15 s16 s17 s18 s19))
("Translational Dynamics" (dq1 dt1a dt1b dt1c dt2a dt3a dt3b dt3c dt4a dt4b dt5a dt6a dt6b dt6c dt7a dt7b dt8a dt9a dt9b dt10a dt11a dt11b dt12a dt13a dt13b dt14a dt14b dt16 dt17 dt18 dt19 dt20 dt21 dt22 dt23 dt24))
("Circular Motion" (rots1a rots1b rots1c rots2a rots3a rots4a rots5a rots6a rots6b rots6c rots7a rots8a rots8b rots20 rots21 rots22 rots23 rots24))
("Work and Energy" (weq1 weq2 weq4 weq5 e1a e1b e1c e2a e2b e2c e3a e3b e3c e3d e4a e4b e4c e5a e5b e6a e7a e7b e8a e8b e9a e9b e10a e11a we1a we2a we3a we4a we5 we6 we8 we9 we10 egrav1 egrav2 egrav3 egrav4 egrav5 we20 we21 we22))
("Power" (pow1a pow1b pow2a pow3a pow4a pow4b pow5a pow5b pow5c pow5d pow6a pow10 pow11 pow12 pow13 pow14))
("Linear Momentum" (mom1 mom2 mom3 lmom1a lmom1b lmom2a lmom2b lmom3a lmom3b lmom3c lmom4a lmom5 lmom5b lmom5c lmom6 lmom7 lmom8 lmom9 lmom10 lmom11 pgraph1 pgraph2 pgraph3 imp1 imp2 imp3a imp3b imp3c imp4 cm1 cm2 cm3 roc1 roc2 roc3 roc4 roc5 roc6 lmom20 lmom21 lmom22 lmom23 lmom24))
("Rotational Kinematics" (kr8 kr9 kr1a kr1b kr1c kr2a kr2b kr3a kr3b kr3c kr4a kr4b kr5a kr6a kr7a kr10 kr20 kr21 ))
("Angular Momentum" (momr1a momr1b momr2a momr2b momr3a momr4a momr10 momr11 momr12 momr13 momr14))
("Rotational Dynamics" (dr1a dr2a dr2b dr3a dr4a dr5a dr6a dr6b dr7a dr8a dr20 dr21 erot2 erot3 erot4 erot5 erot6 grav1 grav2 grav3 grav4 grav5 grav6))
("Fluids" (fluids1 fluids2 fluids3 fluids4 fluids5 fluids6 fluids7 fluids8 fluids9 fluids11 fluids12 fluids13 fluids14 fluids15 fluids20 fluids21 fluids22 fluids23 fluids24))
("Oscillations" (osc1 osc2 osc3 osc4 osc5 osc6 osc7 osc8 osc10 osc11 osc12 osc13 osc14))
("Waves" (wave1 wave2 wave3 wave4 wave5 wave6 wave8 wave9 wave10 wave11 wave12 wave13 wave14 wave15 wave16 wave17 wave18 wave24 wave30 wave31))
("Electric Field" (charge1a charge1b charge2 coul1a coul1b coul1c coul2a coul2b coul2c coul3 ediag1 ediag2 ediag3 ediag4 efield1a efield1b efield1c efield1d efield1e efield2 efield3 efield4a efield4b efield5 efield6 for1a for1b for1c for2a for2b for4a for4b for4c for5 for7a for7b for8a for8b for9a for9b for10a for10b for11a for11b for11c elec1a elec1b elec1d elec1e elec2 elec3b elec4b elec5b elec6b elec7 elec8 elec9 elec10 elec11 gauss1 gauss3 gauss4 gauss5 gauss6 gauss8 gauss9 gauss10 gauss11 gauss12 gauss13 dip1a dip1b dip2 dip3))
("Electric Potential" (epot1a epot1b epot1c epot2 epot3 epot4 epot5 epot6 epot7 epot8 pot1a pot1b pot2a pot2b pot2c pot3a pot3b pot4 pot5 pot6 pot7 pot8 pot10 pot11))
("Resistance" (eqres1a eqres1b eqres1c eqres1d eqres1e eqres2a eqres2b eqres3a eqres3b eqres4a eqres4b eqres5a eqres6a eqres7a eqres7b eqres8a eqres8b res10 res11 res12 res13 res14))
("Capacitance" (eqcap1a eqcap1b eqcap1c eqcap1d eqcap2a eqcap2b eqcap3a eqcap3b eqcap4a eqcap4b eqcap5a eqcap6a cap1a cap1b cap2a cap2b cap3a cap4a cap5a cap6a cap6b cap9a cap9b cap20 cap21 cap22 cap23 cap24 cap25))
("DC Circuits" (kir1a kir1b kir1c kir1d kir1e kir1f kir2a kir3a kir3b kir3c kir4a kir5a kir7a epow1 epow2 epow3 epow4 rc1a rc1b rc1c rc2a rc3a rc3b rc4a rc4b rc5a rc6a rc7a rc7b rc8 rc9 circuits1 circuits2 circuits3 circuits4 circuits5))
("Magnetic Field" (mag1a mag1b mag1c mag2a mag2b mag3a mag3b mag4a mag5a mag5b mag5c mag5d mag5e mag5f magtor1a magtor1b magtor1c magtor1d magdip1 magdip2 magdip3 magdip4 mag6a mag6b mag6c mag7 mag8a mag8b mag9 mag10 mag11 mag12 mag20 mag21 mag22 mag23 mag24))
("Electromagnetic Induction" (fara1a fara1b fara2a fara2b fara3a fara3b fara4a fara4b fara5a fara5b fara5c fara6a fara6b fara7a fara7b fara7c fara7d fara8a fara8b fara8c fara9 fara10a fara10b fara11a fara11b amp1 induct1 induct2 induct3 induct4 induct5))
("Inductance" (ind1a ind1b ind1c ind2a ind3a ind3b ind3c ind4 LR1a LR1b LR1c LR1d LR2a LR2b LR3a LR3b LC1a LC2a LC2b LRC1a LRC2a ind10 ind11 ind12 ind13 ind14))
("Electromagnetic Waves" (emwave1 wave19 emwave3a emwave4 emwave5 emwave10 emwave11 emwave12 emwave13 emwave14))
("Optics" (mirror1 mirror2 mirror3 mirror4 lens1a lens1b lens2a lens2b lens3a lens3b lens4a lens4b lens5a lens5b ref1 ref2a ref2b ref2c ref3a ref3b ref4a ref4b ref5a ref5b ref6 int1a int1b int1c int1d int2a int2b opt10 opt11 opt12 opt13 opt14))
)))
;; Using the default list of problems, give list of necessary
;; and optional kcs associated with solving all problems in
;; that set. This is a temporary solution until we get class organizations
;; into the database.
;; This was generated by the function (set-kcs)
;; Eventually, it should be automatically re-generated when
;; the problem sets are changed or the
(defparameter *set-kcs* '(("Vectors"
(COMPO-PERPENDICULAR DRAW-PROJECTION-AXES DRAW-DISPLACEMENT-UNKNOWN
DRAW-DISPLACEMENT-GIVEN-DIR WRITE-SUM-DISP-COMPO DRAW-VECTOR-ALIGNED-AXES
WRITE-VECTOR-MAGNITUDE DRAW-APPLIED-FORCE DRAW-ACCEL-GIVEN-DIR
DRAW-UNROTATED-AXES DRAW-VELOCITY-CURVED-UNKNOWN DRAW-XY-VECTOR-GIVEN-COMPOS
DRAW-ACCEL-CURVED-UNKNOWN DRAW-VELOCITY-CURVED DRAW-REL-VEL-VECTOR-UNKNOWN
DRAW-RELATIVE-VEL-GIVEN-DIR WRITE-RELATIVE-VEL-COMPO COMPO-GENERAL-CASE
COMPO-GENERAL-CASE-UNKNOWN DRAW-AVG-VEL-FROM-DISPLACEMENT
DRAW-VELOCITY-STRAIGHT DRAW-DISPLACEMENT-STRAIGHT DRAW-ACCEL-SLOW-DOWN
WRITE-KNOWN-VALUE-EQN WRITE-LK-NO-S-COMPO COMPO-PARALLEL-AXIS
WRITE-AVG-VEL-COMPO DRAW-COMPO-FORM-AXES DEFINE-DURATION DRAW-BODY)
NIL)
("Kinematics Graphs"
(DRAW-COMPO-FORM-AXES COMPO-ZERO-VECTOR COMPO-PERPENDICULAR
COMPO-PARALLEL-AXIS WRITE-KNOWN-VALUE-EQN DRAW-ACCEL-SLOW-DOWN
DRAW-RELATIVE-POSITION DRAW-VELOCITY-STRAIGHT ACCEL-CONSTANT-SPEED
DRAW-ACCEL-SPEED-UP DRAW-DISPLACEMENT-STRAIGHT WRITE-LK-NO-S-COMPO
DRAW-AVG-VEL-FROM-DISPLACEMENT DRAW-DISPLACEMENT-GIVEN-DIR
WRITE-AVG-VEL-COMPO DRAW-BODY DEFINE-DURATION)
NIL)
("Translational Kinematics"
(DRAW-AVG-VEL-FROM-DISPLACEMENT DRAW-DISPLACEMENT-GIVEN-DIR
WRITE-AVG-VEL-COMPO WRITE-LK-NO-T-COMPO DRAW-VELOCITY-STRAIGHT
DRAW-ACCEL-FREE-FALL WRITE-G-ON-EARTH WRITE-FREE-FALL-ACCEL
DRAW-VECTOR-ALIGNED-AXES DEFINE-GRAV-ACCEL DRAW-DISPLACEMENT-ZERO
DRAW-UNROTATED-AXES WRITE-SUM-DISTANCES WRITE-DISPLACEMENT-DISTANCE
DRAW-ACCEL-SLOW-DOWN WRITE-VECTOR-MAGNITUDE WRITE-PYTH-THM
DRAW-RELATIVE-POSITION-UNKNOWN DRAW-AVG-VEL-UNKNOWN
DRAW-DISPLACEMENT-UNKNOWN COMPO-GENERAL-CASE-UNKNOWN WRITE-SUM-DISP-COMPO
WRITE-SUM-TIMES DRAW-ACCEL-SPEED-UP DRAW-DISPLACEMENT-STRAIGHT
DRAW-VELOCITY-MOMENTARILY-AT-REST DEFINE-MASS WT-LAW DRAW-WEIGHT
COMPO-GENERAL-CASE SDD-CONSTVEL-COMPO WRITE-CONST-V DRAW-RELATIVE-POSITION
DRAW-DISPLACEMENT-PROJECTILE DRAW-VELOCITY-CURVED-UNKNOWN
WRITE-LK-NO-VF-COMPO DRAW-BODY DEFINE-CIRCUMFERENCE-OF-CIRCLE
DEFINE-DISTANCE DEFINE-DURATION DEFINE-RADIUS-OF-CIRCLE
DEFINE-REVOLUTION-RADIUS DEFINE-SPEED DRAW-COMPO-FORM-AXES
COMPO-PERPENDICULAR WRITE-LK-NO-S-COMPO COMPO-PARALLEL-AXIS
CIRCUMFERENCE-OF-CIRCLE-R WRITE-KNOWN-VALUE-EQN GIVEN-FRACTION
WRITE-EQUALITY WRITE-SDD DRAW-CENTRIPETAL-ACCELERATION DRAW-VELOCITY-CURVED
DRAW-ACCEL-CURVED-UNKNOWN WRITE-CENTRIPETAL-ACCEL)
(WRITE-CENTRIPETAL-ACCEL-COMPO CIRCUMFERENCE-OF-CIRCLE-D
DEFINE-DIAMETER-OF-CIRCLE WRITE-NSL-COMPO DRAW-NET-FORCE-FROM-FORCES
WRITE-NET-FORCE-COMPO WRITE-NSL-NET-COMPO))
("Free Body Diagrams" NIL NIL)
("Statics"
(DRAW-APPLIED-FORCE-UNKNOWN DRAW-TENSION GIVEN-FRACTION COMPO-PERPENDICULAR
COMPO-GENERAL-CASE WT-LAW-CM DEFINE-MASS DEFINE-GRAV-ACCEL DRAW-SPRING-FORCE
SPRING-LAW-COMPRESSION DEFINE-SPRING-CONSTANT DEFINE-COMPRESSION
WRITE-NTL-VECTOR DRAW-REACTION-FORCE DRAW-PROJECTION-AXES COMPO-ZERO-VECTOR
WRITE-TENSIONS-EQUAL DEFINE-COEF-FRICTION DRAW-UNROTATED-AXES
DRAW-VECTOR-ALIGNED-AXES STATIC-FRICTION-LAW WT-LAW WRITE-G-ON-EARTH
DRAW-APPLIED-FORCE DRAW-STATIC-FRICTION DRAW-WEIGHT WRITE-NET-FORCE-COMPO
DRAW-NET-FORCE-ZERO DRAW-BODY DRAW-COMPO-FORM-AXES WRITE-KNOWN-VALUE-EQN
COMPO-GENERAL-CASE-UNKNOWN COMPO-PARALLEL-AXIS WRITE-NFL-COMPO WRITE-NFL-ROT
DRAW-NORMAL DRAW-WEIGHT-AT-CM DRAW-TORQUE DRAW-RELATIVE-POSITION
ACCEL-AT-REST ANG-ACCEL-AT-REST DRAW-RELATIVE-POSITION-APPROXIMATE)
(WRITE-ANGLE-DIRECTION-VECTOR COMPO-Z-AXIS WRITE-MAG-TORQUE
WRITE-ANGLE-DIRECTION-KNOWN DEFINE-ANGLE-BETWEEN-VECTORS WRITE-TORQUE
DRAW-ACCEL-GIVEN-ZERO-NET-FORCE DRAW-NET-FORCE-GIVEN-ZERO
WRITE-MASS-COMPOUND WRITE-FORCE-COMPOUND WRITE-VECTOR-MAGNITUDE))
("Translational Dynamics"
(WRITE-VECTOR-MAGNITUDE DRAW-REACTION-FORCE WRITE-NSL-COMPO
COMPO-GENERAL-CASE DRAW-STATIC-FRICTION DRAW-TENSION WRITE-CONNECTED-ACCELS
WRITE-TENSIONS-EQUAL KINETIC-FRICTION-LAW DEFINE-COEF-FRICTION
DEFINE-DURATION WRITE-LK-NO-S-COMPO DRAW-NET-FORCE-FROM-FORCES
DRAW-VELOCITY-AT-REST NTL WRITE-LK-NO-VF-COMPO DRAW-COMPO-FORM-AXES
DRAW-ACCEL-UNKNOWN DRAW-NET-FORCE-UNKNOWN DRAW-PROJECTION-AXES
COMPO-ZERO-VECTOR DRAW-KINETIC-FRICTION DRAW-DISPLACEMENT-STRAIGHT
DRAW-VELOCITY-MOMENTARILY-AT-REST WRITE-UG DRAW-GRAV-FORCE
DRAW-ACCEL-FREE-FALL DRAW-RELATIVE-POSITION OPPOSITE-RELATIVE-POSITION
DRAW-OPPOSITE-RELATIVE-POSITION WRITE-NTL-VECTOR DRAW-APPLIED-FORCE
DRAW-THRUST-FORCE DRAW-SPRING-FORCE DRAW-NORMAL DRAW-ACCEL-SPEED-UP
DRAW-ACCEL-SLOW-DOWN WRITE-NSL-NET-COMPO DRAW-NET-FORCE-FROM-ACCEL DRAW-BODY
DEFINE-COEF-DRAG-FORCE DEFINE-GRAV-ACCEL DEFINE-MASS DRAW-UNROTATED-AXES
DRAW-VECTOR-ALIGNED-AXES WRITE-DRAG-FORCE-TURBULENT WT-LAW
WRITE-KNOWN-VALUE-EQN COMPO-PARALLEL-AXIS WRITE-G-ON-EARTH DRAW-DRAG
DRAW-WEIGHT DRAW-VELOCITY-STRAIGHT COMPO-PERPENDICULAR WRITE-NET-FORCE-COMPO
DRAW-NET-FORCE-ZERO)
(ACCEL-CONSTANT-SPEED WRITE-NFL-COMPO WRITE-LK-NO-T-COMPO))
("Circular Motion"
(WRITE-KNOWN-VALUE-EQN WRITE-PERIOD-CIRCULAR DRAW-PROJECTION-AXES
DEFINE-PERIOD-VAR DRAW-TENSION DRAW-APPLIED-FORCE-UNKNOWN
DRAW-COMPO-FORM-AXES WRITE-NSL-NET-COMPO WRITE-NET-FORCE-COMPO
DRAW-NET-FORCE-FROM-ACCEL WRITE-EQUALITY WRITE-CENTRIPETAL-ACCEL
DEFINE-GRAV-ACCEL WT-LAW COMPO-PERPENDICULAR COMPO-GENERAL-CASE
WRITE-G-ON-EARTH DRAW-NORMAL DRAW-WEIGHT DRAW-BODY DEFINE-MASS
DEFINE-REVOLUTION-RADIUS DRAW-VECTOR-ALIGNED-AXES COMPO-PARALLEL-AXIS
DRAW-GRAV-FORCE DRAW-CENTRIPETAL-ACCELERATION DRAW-VELOCITY-CURVED)
(WRITE-UG-CIRCULAR DRAW-RELATIVE-POSITION WRITE-UG WRITE-NSL-COMPO
DRAW-NET-FORCE-FROM-FORCES WRITE-CENTRIPETAL-ACCEL-COMPO NTL
WRITE-NTL-VECTOR DRAW-OPPOSITE-RELATIVE-POSITION OPPOSITE-RELATIVE-POSITION
WRITE-VECTOR-MAGNITUDE))
("Work and Energy"
(DRAW-VELOCITY-STRAIGHT DRAW-DISPLACEMENT-STRAIGHT DRAW-ACCEL-SLOW-DOWN
DRAW-WEIGHT DRAW-NORMAL DRAW-KINETIC-FRICTION WRITE-KNOWN-VALUE-EQN
WRITE-G-ON-EARTH COMPO-PERPENDICULAR WT-LAW KINETIC-FRICTION-LAW
DEFINE-GRAV-ACCEL DEFINE-COEF-FRICTION DRAW-APPLIED-FORCE
DRAW-VELOCITY-AT-REST DRAW-TENSION DEFINE-COMPRESSION DEFINE-SPRING-CONSTANT
WRITE-ENERGY-CONS WRITE-NULL-SPRING-ENERGY WRITE-SPRING-ENERGY
COMPO-GENERAL-CASE DRAW-COMPO-FORM-AXES DEFINE-WNC WRITE-CHANGE-ME
DRAW-PROJECTION-AXES DEFINE-NET-WORK APPLY-NET-WORK
DRAW-VELOCITY-STRAIGHT-UNKNOWN WRITE-HEIGHT-DY DRAW-DISPLACEMENT-UNKNOWN
DEFINE-HEIGHT DRAW-ENERGY-AXES WRITE-GRAV-ENERGY WRITE-WORK
DRAW-VELOCITY-CURVED-UNKNOWN DRAW-BODY DEFINE-ENERGY-VAR DEFINE-MASS
DEFINE-REVOLUTION-RADIUS DEFINE-TOTAL-ENERGY DEFINE-WORK DRAW-UNROTATED-AXES
DRAW-VECTOR-ALIGNED-AXES WRITE-TOTAL-ENERGY-TOP
WRITE-GRAVITATIONAL-ENERGY-POINT WRITE-GRAVITATIONAL-ENERGY-ZERO
WRITE-KINETIC-ENERGY COMPO-PARALLEL-AXIS DRAW-GRAV-FORCE
DRAW-CENTRIPETAL-ACCELERATION DRAW-RELATIVE-POSITION DRAW-VELOCITY-CURVED
DRAW-VELOCITY-MOMENTARILY-AT-REST)
(DRAW-GRAV-FORCE-UNKNOWN WRITE-POTENTIAL-ENERGY WRITE-WORK-ENERGY WRITE-WNC
WRITE-UG WRITE-EQUALITY WRITE-UG-CIRCULAR WRITE-CENTRIPETAL-ACCEL-COMPO
WRITE-CENTRIPETAL-ACCEL WRITE-NSL-COMPO DRAW-NET-FORCE-FROM-FORCES
WRITE-NET-FORCE-COMPO WRITE-NSL-NET-COMPO DRAW-NET-FORCE-FROM-ACCEL
WRITE-ANGLE-DIRECTION-KNOWN DEFINE-ANGLE-BETWEEN-VECTORS WRITE-LK-NO-T-COMPO
WRITE-LK-NO-S-COMPO WRITE-LK-NO-VF-COMPO DEFINE-DURATION
WRITE-SUM-DISP-COMPO DRAW-ACCEL-SPEED-UP DRAW-DRAG ACCEL-CONSTANT-SPEED
WRITE-NFL-COMPO DRAW-NET-FORCE-ZERO))
("Power"
(DRAW-MOMENTUM-STRAIGHT WRITE-MOMENTUM-COMPO DRAW-ACCEL-SPEED-UP
WRITE-G-ON-EARTH COMPO-GENERAL-CASE WT-LAW DEFINE-GRAV-ACCEL WRITE-CHANGE-ME
WRITE-WNC DEFINE-WNC DRAW-VELOCITY-MOMENTARILY-AT-REST DRAW-SPRING-FORCE
WRITE-WORK-ENERGY APPLY-NET-WORK WRITE-KINETIC-ENERGY WRITE-TOTAL-ENERGY-TOP
DEFINE-TOTAL-ENERGY DEFINE-NET-WORK WRITE-SPRING-ENERGY DEFINE-ENERGY-VAR
DEFINE-SPRING-CONSTANT DEFINE-COMPRESSION DEFINE-NET-POWER-VAR
WRITE-NET-POWER DEFINE-WORK DRAW-ENERGY-AXES WRITE-WORK WRITE-POWER
DRAW-DISPLACEMENT-STRAIGHT DRAW-BODY DEFINE-DURATION DEFINE-MASS
DEFINE-POWER-VAR DRAW-UNROTATED-AXES DRAW-VECTOR-ALIGNED-AXES WRITE-EQUALITY
COMPO-PARALLEL-AXIS COMPO-PERPENDICULAR WRITE-LK-NO-S-COMPO
WRITE-KNOWN-VALUE-EQN WRITE-INST-POWER DRAW-APPLIED-FORCE DRAW-DRAG
DRAW-NORMAL DRAW-WEIGHT DRAW-ACCEL-SLOW-DOWN DRAW-VELOCITY-STRAIGHT)
(ACCEL-CONSTANT-SPEED WRITE-NFL-COMPO DRAW-NET-FORCE-ZERO WRITE-NSL-COMPO
DRAW-NET-FORCE-FROM-ACCEL WRITE-NSL-NET-COMPO WRITE-NET-FORCE-COMPO
WRITE-ANGLE-DIRECTION-KNOWN DEFINE-ANGLE-BETWEEN-VECTORS
DRAW-PROJECTION-AXES COMPO-ZERO-VECTOR WRITE-HEIGHT-DY
WRITE-POTENTIAL-ENERGY WRITE-GRAV-ENERGY DEFINE-HEIGHT
WRITE-WORK-ENERGY-ZERO DRAW-AVG-VEL-FROM-DISPLACEMENT WRITE-AVG-VEL-COMPO
WRITE-VECTOR-MAGNITUDE WRITE-ENERGY-CONS))
("Linear Momentum"
(WRITE-G-ON-EARTH WRITE-EQUALITY DRAW-NET-FORCE-UNKNOWN DRAW-ACCEL-UNKNOWN
COMPO-PERPENDICULAR DRAW-COMPO-FORM-AXES COMPO-ZERO-VECTOR
DRAW-ZERO-RELATIVE-POSITION DRAW-PROJECTION-AXES
DRAW-MOMENTUM-STRAIGHT-UNKNOWN DRAW-MOMENTUM-STRAIGHT DRAW-IMPULSE-GIVEN-DIR
COMPO-GENERAL-CASE-UNKNOWN COMPO-GENERAL-CASE WRITE-IMPULSE-MOMENTUM-COMPO
WRITE-MOMENTUM-COMPO DRAW-VELOCITY-STRAIGHT
DRAW-IMPULSE-GIVEN-MOMENTA-UNKNOWN-DIR DRAW-IMPULSE-GIVEN-MOMENTA
WRITE-IMPULSE-COMPO DRAW-APPLIED-FORCE DEFINE-DURATION
WRITE-VECTOR-MAGNITUDE DRAW-VELOCITY-STRAIGHT-UNKNOWN DRAW-VELOCITY-AT-REST
WRITE-CONS-LINMOM-COMPO WRITE-CONS-KE-ELASTIC WRITE-KINETIC-ENERGY
DEFINE-ENERGY-VAR WRITE-CONS-LINMOM-COMPO-JOIN-SPLIT WRITE-MASS-COMPOUND
DRAW-DISPLACEMENT-UNKNOWN DRAW-VELOCITY-MOMENTARILY-AT-REST
DRAW-VELOCITY-CURVED DRAW-MOMENTUM-CURVED WRITE-HEIGHT-DY WRITE-GRAV-ENERGY
WRITE-TOTAL-ENERGY-TOP WRITE-ENERGY-CONS DRAW-ENERGY-AXES
DEFINE-TOTAL-ENERGY DEFINE-SHAPE-LENGTH DEFINE-HEIGHT DRAW-UNROTATED-AXES
DRAW-MOMENTUM-AT-REST NTL-IMPULSE DRAW-XY-VECTOR-GIVEN-COMPOS
DRAW-RELATIVE-POSITION-UNKNOWN DRAW-RELATIVE-POSITION
WRITE-CENTER-OF-MASS-COMPO DRAW-BODY DEFINE-GRAV-ACCEL DEFINE-MASS
DEFINE-MASS-CHANGE-MAGNITUDE DRAW-VECTOR-ALIGNED-AXES WRITE-THRUST-FORCE
WT-LAW WRITE-KNOWN-VALUE-EQN COMPO-PARALLEL-AXIS GIVEN-FRACTION
DRAW-THRUST-FORCE DRAW-WEIGHT DRAW-RELATIVE-VEL-GIVEN-THRUST-FORCE
DRAW-ACCEL-SPEED-UP WRITE-NSL-NET-COMPO WRITE-NET-FORCE-COMPO
DRAW-NET-FORCE-FROM-ACCEL)
(WRITE-NSL-COMPO WRITE-NTL-IMPULSE-COMPO DRAW-NET-FORCE-FROM-FORCES
DRAW-ACCELERATING WRITE-LK-NO-S-COMPO))
("Rotational Kinematics"
(WRITE-LINEAR-VEL DRAW-RELATIVE-POSITION DRAW-VELOCITY-CURVED
DRAW-ANG-DISPLACEMENT-UNKNOWN DRAW-ANG-ACCEL WRITE-RK-NO-T WRITE-EQUALITY
DRAW-CENTRIPETAL-ACCELERATION GIVEN-FRACTION DEFINE-REVOLUTION-RADIUS
DEFINE-DIAMETER-OF-CIRCLE DEFINE-ANGULAR-FREQUENCY DEFINE-FREQUENCY
DEFINE-PERIOD-VAR FREQUENCY-OF-WAVE PERIOD-OF-WAVE DRAW-ANG-ACCEL-SPEED-UP
WRITE-ANG-SDD WRITE-CONSTANT-VALUE WRITE-CONNECTED-VELOCITIES DRAW-BODY
DEFINE-RADIUS-OF-CIRCLE DRAW-UNROTATED-AXES DRAW-VECTOR-ALIGNED-AXES
COMPO-Z-AXIS COMPO-PERPENDICULAR WRITE-KNOWN-VALUE-EQN WRITE-ROLLING-VEL
DRAW-ANG-ACCEL-SLOW-DOWN DRAW-ANG-VELOCITY-ROTATING
DRAW-ANG-DISPLACEMENT-ROTATING DRAW-VELOCITY-STRAIGHT
DRAW-ANG-VELOCITY-AT-REST DEFINE-DURATION WRITE-RK-NO-S WRITE-RK-NO-VF)
(WRITE-CENTRIPETAL-ACCEL COMPO-PARALLEL-AXIS WRITE-CENTRIPETAL-ACCEL-COMPO
WRITE-PERIOD-CIRCULAR))
("Angular Momentum"
(WRITE-CONS-ANGMOM WRITE-I-ROD-CM DEFINE-SHAPE-LENGTH WRITE-I-HOOP-CM
DEFINE-RADIUS-OF-CIRCLE DEFINE-MASS DRAW-ANG-VELOCITY-ROTATING
DRAW-ANG-MOMENTUM-ROTATING WRITE-CONS-ANGMOM-JOIN-SPLIT COMPO-Z-AXIS
WRITE-ANG-MOMENTUM WRITE-KNOWN-VALUE-EQN WRITE-I-COMPOUND
DRAW-VECTOR-ALIGNED-AXES DRAW-UNROTATED-AXES DRAW-PROJECTION-AXES
DEFINE-MOMENT-OF-INERTIA DRAW-BODY)
NIL)
("Rotational Dynamics"
(DEFINE-ENERGY-VAR DEFINE-GRAV-ACCEL DEFINE-HEIGHT DEFINE-MOMENT-OF-INERTIA
DEFINE-RADIUS-OF-CIRCLE DEFINE-TOTAL-ENERGY DRAW-ENERGY-AXES
WRITE-ENERGY-CONS WRITE-TOTAL-ENERGY-TOP WRITE-GRAV-ENERGY
WRITE-KINETIC-ENERGY WRITE-ROTATIONAL-ENERGY COMPO-GENERAL-CASE
WRITE-G-ON-EARTH WRITE-ROLLING-VEL WRITE-HEIGHT-DY
DRAW-ANG-VELOCITY-ROTATING DRAW-DISPLACEMENT-GIVEN-DIR
DRAW-ANG-VELOCITY-AT-REST DRAW-VELOCITY-MOMENTARILY-AT-REST
DRAW-VELOCITY-STRAIGHT-UNKNOWN DEFINE-SHAPE-LENGTH WRITE-I-ROD-END
WRITE-EQUALITY WRITE-VECTOR-MAGNITUDE COMPO-PERPENDICULAR
DRAW-XY-VECTOR-GIVEN-COMPOS DRAW-RELATIVE-POSITION-UNKNOWN
WRITE-CENTER-OF-MASS-COMPO WRITE-I-PARTICLE WRITE-I-COMPOUND
DRAW-COMPO-FORM-AXES DRAW-ANG-ACCEL-UNKNOWN-DIR DRAW-NET-TORQUE-UNKNOWN-DIR
WRITE-NET-TORQUE DRAW-NET-TORQUE-KNOWN-DIR COMPO-Z-AXIS
DRAW-ANG-ACCEL-SPEED-UP WT-LAW-CM DRAW-APPLIED-FORCE DRAW-TENSION
DRAW-WEIGHT-AT-CM DRAW-TORQUE DRAW-RELATIVE-POSITION GIVEN-FRACTION
WRITE-PARALLEL-AXIS-THEOREM WRITE-I-RECT-CM WRITE-AREA-OF-SQUARE
WRITE-AREA-OF-RECTANGLE DEFINE-WIDTH DEFINE-AREA WRITE-I-HOOP-CM DRAW-BODY
DEFINE-MASS DEFINE-PERIOD-VAR DEFINE-REVOLUTION-RADIUS DRAW-PROJECTION-AXES
DRAW-VECTOR-ALIGNED-AXES WRITE-PERIOD-CIRCULAR COMPO-PARALLEL-AXIS
WRITE-KNOWN-VALUE-EQN DRAW-GRAV-FORCE DRAW-CENTRIPETAL-ACCELERATION
DRAW-VELOCITY-CURVED)
(WRITE-UG-CIRCULAR DRAW-OPPOSITE-RELATIVE-POSITION WRITE-UG WRITE-NSL-COMPO
DRAW-NET-FORCE-FROM-FORCES WRITE-NET-FORCE-COMPO WRITE-NSL-NET-COMPO
WRITE-CENTRIPETAL-ACCEL-COMPO WRITE-CENTRIPETAL-ACCEL NTL WRITE-NTL-VECTOR
OPPOSITE-RELATIVE-POSITION COMPO-GENERAL-CASE-UNKNOWN WRITE-MAG-TORQUE
ANG-ACCEL-AT-REST WRITE-NFL-ROT DRAW-NET-TORQUE-NON-ROTATING
COMPO-ZERO-VECTOR WRITE-TORQUE WRITE-ANGLE-DIRECTION-KNOWN
DEFINE-ANGLE-BETWEEN-VECTORS WRITE-NSL-ROT-COMPO WRITE-NSL-ROT-NET
DRAW-NET-TORQUE-FROM-MOTION))
("Fluids"
(DRAW-NET-FORCE-ZERO WRITE-NET-FORCE-COMPO COMPO-PERPENDICULAR DRAW-PRESSURE
WRITE-EQUALITY PRESSURE-FORCE AREA-OF-CIRCLE DEFINE-RADIUS-OF-CIRCLE
DEFINE-PRESSURE DEFINE-AREA WRITE-MASS-COMPOUND WRITE-FORCE-COMPOUND
DEFINE-AREA-AT DEFINE-ATMOSPHERE-VAR DEFINE-HEIGHT WRITE-VALUE-OF-ATMOSPHERE
PRESSURE-AT-OPEN-TO-ATMOSPHERE CONTINUITY BERNOULLI DRAW-VELOCITY-STRAIGHT
PRESSURE-HEIGHT-FLUID COMPO-GENERAL-CASE DRAW-TENSION DRAW-BODY
DEFINE-GRAV-ACCEL DEFINE-MASS DEFINE-MASS-DENSITY DEFINE-VOLUME
DRAW-UNROTATED-AXES DRAW-VECTOR-ALIGNED-AXES WRITE-ARCHIMEDES WT-LAW
WRITE-KNOWN-VALUE-EQN COMPO-PARALLEL-AXIS WRITE-G-ON-EARTH WRITE-DENSITY
DRAW-BUOYANT-FORCE DRAW-WEIGHT WRITE-VOLUME-COMPOUND WRITE-NTL-VECTOR
DRAW-NORMAL DRAW-REACTION-FORCE)
(ACCEL-AT-REST WRITE-NFL-COMPO DRAW-FORCE-COMPOUND COMPO-ZERO-VECTOR
DRAW-PROJECTION-AXES))
("Oscillations"
(GIVEN-FRACTION DRAW-BODY DEFINE-MASS DEFINE-SPRING-CONSTANT
WRITE-MASS-COMPOUND SPRING-MASS-OSCILLATION FREQUENCY-OF-WAVE
DEFINE-ANGULAR-FREQUENCY DEFINE-AMPLITUDE MAX-TRANSVERSE-SPEED-WAVE
MAX-TRANSVERSE-ABS-ACCELERATION-WAVE DEFINE-AMPLITUDE-MAX-SPEED
DEFINE-AMPLITUDE-MAX-ABS-ACCELERATION DEFINE-COMPRESSION DRAW-UNROTATED-AXES
DRAW-VECTOR-ALIGNED-AXES SPRING-LAW-COMPRESSION WT-LAW COMPO-PARALLEL-AXIS
DRAW-SPRING-FORCE DRAW-WEIGHT COMPO-PERPENDICULAR WRITE-NET-FORCE-COMPO
DRAW-NET-FORCE-GIVEN-ZERO PERIOD-OF-WAVE DEFINE-FREQUENCY
PENDULUM-OSCILLATION WRITE-EQUALITY WRITE-G-ON-EARTH WRITE-KNOWN-VALUE-EQN
DEFINE-PERIOD-VAR DEFINE-SHAPE-LENGTH DEFINE-GRAV-ACCEL)
(DRAW-ACCEL-GIVEN-ZERO-NET-FORCE WRITE-NFL-COMPO))
("Waves"
(DRAW-BODY DEFINE-DB-INTENSITY DEFINE-INTENSITY DEFINE-NET-POWER-OUT
DRAW-UNROTATED-AXES DRAW-VECTOR-ALIGNED-AXES WRITE-INTENSITY-TO-DECIBELS
WRITE-SPHERICAL-INTENSITY-TO-POWER DRAW-RELATIVE-POSITION-UNKNOWN
OPPOSITE-RELATIVE-POSITION DEFINE-NET-DB-INTENSITY DEFINE-NET-INTENSITY
WRITE-NET-INTENSITY DEFINE-OBSERVED-FREQUENCY WRITE-BEAT-FREQUENCY
MAKE-DOPPLER-FREQUENCY DRAW-RELATIVE-VEL-GIVEN-DIR DRAW-ZERO-RELATIVE-VEL
DEFINE-SHAPE-LENGTH DEFINE-MASS MASS-PER-LENGTH DEFINE-STRING-TENSION
GIVEN-FRACTION WRITE-EQUALITY MASS-PER-LENGTH-EQUATION WAVE-SPEED-STRING
DEFINE-DISTANCE DEFINE-DURATION DEFINE-SPEED WRITE-SDD
SPEED-EQUALS-WAVE-SPEED WRITE-WAVE-SPEED-LIGHT WRITE-HARMONIC-OF
DEFINE-AMPLITUDE WRITE-TIMELESS-BEAT-FREQUENCY WAVENUMBER-LAMBDA-WAVE
FREQUENCY-OF-WAVE DEFINE-WAVENUMBER DEFINE-ANGULAR-FREQUENCY PERIOD-OF-WAVE
WRITE-SPEED-OF-WAVE WRITE-KNOWN-VALUE-EQN DEFINE-WAVELENGTH
DEFINE-WAVE-SPEED DEFINE-PERIOD-VAR DEFINE-FREQUENCY)
NIL)
("Electric Field"
(COMPO-GENERAL-CASE DRAW-TORQUE-DIPOLE-GIVEN-DIR DRAW-COMPO-FORM-AXES
DRAW-EFIELD-INSIDE-CONDUCTOR DRAW-UNIT-VECTOR-GIVEN-DIR
WRITE-UNIT-VECTOR-MAG WRITE-SUM-FLUXES WRITE-FLUX-ZERO
WRITE-FLUX-CONSTANT-FIELD DEFINE-AREA AREA-OF-CIRCLE DEFINE-RADIUS-OF-CIRCLE
DRAW-XY-VECTOR-GIVEN-COMPOS DRAW-FIELD-UNKNOWN DRAW-VELOCITY-CURVED-UNKNOWN
WRITE-LK-NO-T-COMPO WRITE-LK-NO-S-COMPO DRAW-VELOCITY-CURVED
DRAW-DISPLACEMENT-GIVEN-DIR DRAW-ACCEL-GIVEN-PARALLEL-FORCES
DRAW-ELECTRIC-FORCE-GIVEN-FIELD-DIR WRITE-NSL-COMPO SDD-CONSTVEL-COMPO
DEFINE-MASS DEFINE-DURATION DRAW-VELOCITY-AT-REST DRAW-NET-FORCE-GIVEN-ZERO
COMPO-ZERO-VECTOR DRAW-ELECTRIC-FORCE-GIVEN-FIELD-UNKNOWN
DRAW-RELATIVE-POSITION-UNKNOWN DRAW-POINT-EFIELD-UNKNOWN
WRITE-POINT-CHARGE-EFIELD-COMPO DRAW-EFIELD-GIVEN-FORCE-DIR
DRAW-COULOMB-FORCE-UNKNOWN WRITE-COULOMB-COMPO DRAW-ACCELERATING
DEFINE-NUMBER-OF WRITE-NUMBER-OF-PARTICLES COMPO-GENERAL-CASE-UNKNOWN
DRAW-COULOMB-FORCE DRAW-ACCEL-CURVED-UNKNOWN WRITE-NSL-NET-COMPO
DRAW-NET-FORCE-UNKNOWN WRITE-CONST-V WRITE-LK-NO-VF-COMPO
DRAW-NET-FORCE-FROM-FORCES DRAW-ELECTRIC-FORCE-GIVEN-DIR
WRITE-CHARGE-FORCE-EFIELD-COMPO WRITE-NET-FORCE-COMPO DRAW-NET-FORCE-ZERO
DRAW-ACCEL-SPEED-UP DEFINE-NET-WORK DEFINE-WORK WRITE-KINETIC-ENERGY
APPLY-NET-WORK WRITE-WORK-ENERGY WRITE-WORK DEFINE-GRAV-ACCEL WT-LAW
WRITE-G-ON-EARTH DRAW-WEIGHT DRAW-DISPLACEMENT-STRAIGHT
DRAW-VELOCITY-STRAIGHT DRAW-VELOCITY-MOMENTARILY-AT-REST
DRAW-DISPLACEMENT-PROJECTILE DEFINE-SHAPE-LENGTH WRITE-AREA-OF-SQUARE
DEFINE-FLUX DRAW-UNROTATED-AXES WRITE-GAUSS-LAW WRITE-NET-FIELD-COMPO
DRAW-POINT-EFIELD-GIVEN-RELPOS-DIR DRAW-NET-FIELD-UNKNOWN
COMPO-PARALLEL-AXIS DRAW-BODY DEFINE-CHARGE DEFINE-ENERGY-VAR
DEFINE-TOTAL-ENERGY DEFINE-WNC DRAW-PROJECTION-AXES DRAW-VECTOR-ALIGNED-AXES
WRITE-KNOWN-VALUE-EQN WRITE-ELECTRIC-DIPOLE-MOMENT-MAG
WRITE-TOTAL-ENERGY-TOP WRITE-DIPOLE-ENERGY WRITE-CHANGE-ME
DRAW-FIELD-GIVEN-DIR DRAW-ELECTRIC-DIPOLE-MOMENT-GIVEN-RELATIVE-POSITION
DRAW-RELATIVE-POSITION WRITE-ELECTRIC-DIPOLE-MOMENT-COMPO
COMPO-PERPENDICULAR)
(WRITE-VECTOR-MAGNITUDE WRITE-ANGLE-DIRECTION-KNOWN
DEFINE-ANGLE-BETWEEN-VECTORS WRITE-DIPOLE-TORQUE-MAG WRITE-DIPOLE-TORQUE
COMPO-Z-AXIS WRITE-POINT-CHARGE-EFIELD-MAG WRITE-ANGLE-DIRECTION-VECTOR
WRITE-CHARGE-FORCE-EFIELD-MAG DRAW-ACCEL-SLOW-DOWN DRAW-NET-FORCE-FROM-ACCEL
ACCEL-AT-REST WRITE-NFL-COMPO DRAW-ACCEL-GIVEN-ZERO-NET-FORCE WRITE-COULOMB
WRITE-VECTOR-DIRECTION))
("Electric Potential"
(DRAW-NET-FIELD-UNKNOWN DRAW-POINT-EFIELD-GIVEN-RELPOS-DIR
WRITE-NET-FIELD-COMPO DRAW-POINT-EFIELD-UNKNOWN
WRITE-POINT-CHARGE-EFIELD-COMPO COMPO-GENERAL-CASE-UNKNOWN
DRAW-RELATIVE-POSITION WRITE-SUM-DISTANCE COMPO-PARALLEL-AXIS
DEFINE-POTENTIAL-VAR DRAW-COMPO-FORM-AXES WRITE-POINT-CHARGE-POTENTIAL
WRITE-NET-POTENTIAL DRAW-RELATIVE-POSITION-UNKNOWN
DRAW-XY-VECTOR-GIVEN-COMPOS COMPO-PERPENDICULAR WRITE-VECTOR-MAGNITUDE
WRITE-CHANGE-ME WRITE-ELECTRIC-ENERGY WRITE-TOTAL-ENERGY-TOP
WRITE-KNOWN-VALUE-EQN DEFINE-WNC DEFINE-TOTAL-ENERGY
DEFINE-NET-POTENTIAL-VAR DEFINE-ENERGY-VAR DEFINE-CHARGE DRAW-BODY)
(WRITE-VECTOR-DIRECTION WRITE-POINT-CHARGE-EFIELD-MAG))
("Resistance"
(EQUIV-RESISTANCE-SERIES EQUIV-RESISTANCE-PARALLEL WRITE-KNOWN-VALUE-EQN
DEFINE-RESISTANCE-VAR)
NIL)
("Capacitance"
(WRITE-JUNCTION-RULE-CAP WRITE-SINGLE-LOOP-RULE EQUIV-CAPACITANCE-PARALLEL
EQUIV-CAPACITANCE-SERIES WRITE-LOOP-RULE-CAPACITORS
WRITE-CHARGE-SAME-CAPS-IN-BRANCH WRITE-CAPACITANCE-DEFINITION
WRITE-CAP-ENERGY WRITE-KNOWN-VALUE-EQN DEFINE-VOLTAGE-ACROSS
DEFINE-STORED-ENERGY-VAR DEFINE-CHARGE DEFINE-CAPACITANCE-VAR)
NIL)
("DC Circuits"
(WRITE-CAPACITANCE-DEFINITION WRITE-EQUALITY CHARGING-CAPACITOR-AT-TIME
WRITE-JUNCTION-RULE WRITE-LOOP-RULE-RESISTORS WRITE-ELECTRIC-POWER
DEFINE-ELECTRIC-POWER-VAR WRITE-CURRENT-THRU-WHAT WRITE-LOOP-RULE-TWO
GIVEN-FRACTION DISCHARGING-CAPACITOR-AT-TIME DEFINE-CAPACITANCE-VAR
DEFINE-CHARGE DEFINE-DURATION DEFINE-RESISTANCE-VAR DEFINE-STORED-ENERGY-VAR
DEFINE-TIME-CONSTANT DEFINE-VOLTAGE-ACROSS CHARGE-CAPACITOR-PERCENT-MAX
WRITE-CHARGING-CAPACITOR-ASYMPTOTIC WRITE-KNOWN-VALUE-EQN WRITE-CAP-ENERGY
WRITE-RC-TIME-CONSTANT DEFINE-CURRENT-THRU WRITE-CURRENT-IN-RC-AT-TIME
WRITE-OHMS-LAW WRITE-SINGLE-LOOP-RULE)
(EQUIV-RESISTANCE-SERIES))
("Magnetic Field"
(DRAW-NET-FORCE-ZERO WRITE-NET-FORCE-COMPO DRAW-BFORCE-CURRENT-UNKNOWN
DRAW-FIELD-UNKNOWN DRAW-WEIGHT MASS-PER-LENGTH-EQUATION WRITE-G-ON-EARTH
COMPO-PARALLEL-AXIS COMPO-PERPENDICULAR WT-LAW
WRITE-CURRENT-FORCE-BFIELD-MAG DRAW-VECTOR-ALIGNED-AXES DRAW-UNROTATED-AXES
MASS-PER-LENGTH DEFINE-MASS DEFINE-SHAPE-LENGTH DEFINE-GRAV-ACCEL DRAW-BODY
WRITE-UNIT-VECTOR-MAG WRITE-BIOT-SAVERT-POINT-PARTICLE
DRAW-BFIELD-POINT-PARTICLE-ZERO DRAW-VELOCITY-STRAIGHT
DRAW-BFIELD-POINT-PARTICLE WRITE-ANGLE-DIRECTION-KNOWN
WRITE-BIOT-SAVERT-POINT-PARTICLE-MAG DEFINE-CHARGE
DEFINE-ANGLE-BETWEEN-VECTORS DEFINE-TURNS-PER-LENGTH
WRITE-INSIDE-SOLENOID-BFIELD WRITE-TURNS-PER-LENGTH DRAW-FIELD-GIVEN-DIR
DRAW-UNIT-VECTOR-GIVEN-DIR WRITE-MAGNETIC-DIPOLE-MOMENT-COMPO
DRAW-TORQUE-DIPOLE-GIVEN-DIR DRAW-MAGNETIC-DIPOLE-MOMENT-GIVEN-UNIT-VECTOR
WRITE-DIPOLE-TORQUE-MAG WRITE-AREA-OF-SQUARE DEFINE-AREA
DRAW-NET-FORCE-FROM-FORCES COMPO-GENERAL-CASE DRAW-VELOCITY-STRAIGHT-UNKNOWN
DRAW-BFORCE-UNKNOWN-VELOCITY WRITE-CHARGE-FORCE-BFIELD
WRITE-VECTOR-MAGNITUDE DRAW-ELECTRIC-FORCE-GIVEN-FIELD-DIR
DRAW-Z-AXIS-VECTOR-GIVEN-COMPOS DEFINE-REVOLUTION-RADIUS DRAW-BFORCE-CHARGE
DRAW-CENTRIPETAL-ACCELERATION DRAW-VELOCITY-CURVED AREA-OF-CIRCLE
DRAW-XY-VECTOR-GIVEN-COMPOS DEFINE-ENERGY-VAR DEFINE-TOTAL-ENERGY DEFINE-WNC
WRITE-TOTAL-ENERGY-TOP WRITE-DIPOLE-ENERGY WRITE-CHANGE-ME
DRAW-DIPOLE-MOMENT-GIVEN-DIR DRAW-BFORCE-CURRENT DEFINE-TURNS
DRAW-NET-FIELD-UNKNOWN DRAW-RELATIVE-POSITION DRAW-BFIELD-STRAIGHT-CURRENT
DRAW-BFIELD-CURRENT-LOOP DRAW-NET-FIELD-FROM-FIELDS WRITE-CENTER-COIL-BFIELD
WRITE-STRAIGHT-WIRE-BFIELD WRITE-EQUALITY COMPO-Z-AXIS WRITE-NET-FIELD-COMPO
WRITE-KNOWN-VALUE-EQN DRAW-COMPO-FORM-AXES DEFINE-RADIUS-OF-CIRCLE
DEFINE-CURRENT-THRU)
(COMPO-GENERAL-CASE-UNKNOWN ACCEL-AT-REST WRITE-NFL-COMPO
WRITE-MAGNETIC-DIPOLE-MOMENT-MAG WRITE-ANGLE-DIRECTION-VECTOR
WRITE-DIPOLE-TORQUE WRITE-CHARGE-FORCE-BFIELD-MAG
WRITE-CENTRIPETAL-ACCEL-COMPO WRITE-CENTRIPETAL-ACCEL WRITE-NSL-COMPO
WRITE-NSL-NET-COMPO WRITE-CHARGE-FORCE-EFIELD-MAG
WRITE-CHARGE-FORCE-EFIELD-COMPO ACCEL-CONSTANT-SPEED COMPO-ZERO-VECTOR))
("Electromagnetic Induction"
(COMPO-PARALLEL-AXIS COMPO-PERPENDICULAR DRAW-COMPO-FORM-AXES
DRAW-UNIT-VECTOR-GIVEN-DIR DRAW-FIELD-GIVEN-DIR WRITE-FARADAYS-LAW
WRITE-UNIT-VECTOR-MAG WRITE-AVERAGE-RATE-OF-CHANGE WRITE-FLUX-CONSTANT-FIELD
DEFINE-VOLTAGE-ACROSS DEFINE-TURNS DEFINE-RATE-OF-CHANGE-VAR DEFINE-FLUX
DEFINE-DURATION DEFINE-AREA DEFINE-ELECTRIC-POWER-VAR
WRITE-TRANSFORMER-POWER WRITE-ELECTRIC-POWER DEFINE-RESISTANCE-VAR
DEFINE-WIDTH WRITE-AREA-OF-RECTANGLE-CHANGE WRITE-FLUX-CONSTANT-FIELD-CHANGE
WRITE-OHMS-LAW COMPO-Z-AXIS WRITE-TRANSFORMER-VOLTAGE WRITE-FLUX-ZERO
WRITE-AMPERES-LAW WRITE-KNOWN-VALUE-EQN DEFINE-LINE-INTEGRAL
DEFINE-CURRENT-THRU)
(WRITE-ANGLE-DIRECTION-KNOWN DEFINE-ANGLE-BETWEEN-VECTORS))
("Inductance"
(DEFINE-CHARGE DEFINE-CURRENT-THRU DEFINE-ELECTRIC-POWER-VAR
DEFINE-RATE-OF-CHANGE-VAR DEFINE-VOLTAGE-ACROSS WRITE-CAP-ENERGY
WRITE-INDUCTOR-ENERGY INDUCTOR-EMF WRITE-OHMS-LAW WRITE-ELECTRIC-POWER
WRITE-SINGLE-LOOP-RULE WRITE-CAPACITANCE-DEFINITION LR-DECAY-IMAX
WRITE-LR-CURRENT-DECAY WRITE-LR-TIME-CONSTANT LR-CURRENT-GROWTH DEFINE-AREA
DEFINE-CIRCUMFERENCE-OF-CIRCLE DEFINE-DIAMETER-OF-CIRCLE DEFINE-SHAPE-LENGTH
DEFINE-RADIUS-OF-CIRCLE DEFINE-TURNS AREA-OF-CIRCLE
CIRCUMFERENCE-OF-CIRCLE-D CIRCUMFERENCE-OF-CIRCLE-R
WRITE-SOLENOID-SELF-INDUCTANCE DEFINE-TURNS-PER-LENGTH
WRITE-INSIDE-SOLENOID-BFIELD WRITE-TURNS-PER-LENGTH DRAW-FIELD-UNKNOWN
WRITE-AVERAGE-RATE-OF-CHANGE WRITE-MUTUAL-INDUCTOR-EMF
DEFINE-MUTUAL-INDUCTANCE-VAR LR-GROWTH-IMAX WRITE-LC-ANGULAR-FREQUENCY
WRITE-RLC-ANGULAR-FREQUENCY WRITE-RLC-TIME-CONSTANT FREQUENCY-OF-WAVE
GIVEN-FRACTION WRITE-ENERGY-DECAY WRITE-KNOWN-VALUE-EQN DEFINE-TIME-CONSTANT
DEFINE-STORED-ENERGY-VAR DEFINE-SELF-INDUCTANCE-VAR DEFINE-RESISTANCE-VAR
DEFINE-FREQUENCY DEFINE-DURATION DEFINE-CAPACITANCE-VAR
DEFINE-ANGULAR-FREQUENCY)
NIL)
("Electromagnetic Waves"
(DEFINE-POWER-VAR DRAW-UNROTATED-AXES DRAW-VECTOR-ALIGNED-AXES
WRITE-UNIFORM-INTENSITY-TO-POWER GIVEN-FRACTION
WRITE-ELECTROMAGNETIC-WAVE-FIELD-AMPLITUDE DEFINE-AMPLITUDE DEFINE-DISTANCE
DEFINE-DURATION DEFINE-SPEED WRITE-WAVE-SPEED-LIGHT WRITE-SDD
WRITE-SUM-TIMES DRAW-OPPOSITE-RELATIVE-POSITION OPPOSITE-RELATIVE-POSITION
DRAW-RELATIVE-POSITION WRITE-SPHERICAL-INTENSITY-TO-POWER
DEFINE-NET-POWER-OUT DRAW-PRESSURE-UNKNOWN WRITE-RADIATION-PRESSURE
WRITE-KNOWN-VALUE-EQN PRESSURE-FORCE DEFINE-PRESSURE DEFINE-INTENSITY
DEFINE-AREA DRAW-BODY)
(SPEED-EQUALS-WAVE-SPEED DEFINE-WAVE-SPEED WRITE-SUM-DISTANCES))
("Optics"
(DEFINE-ANGLE-BETWEEN-LINES DEFINE-DISTANCE-BETWEEN DEFINE-WIDTH
DRAW-LINE-GIVEN-DIR DRAW-LINE-UNKNOWN-DIR WRITE-FRAUENHOFER-DIFFRACTION
WRITE-RIGHT-TRIANGLE-TANGENT WRITE-ANGLE-DIRECTION-LINE
DEFINE-SLIT-SEPARATION WRITE-SLIT-INTERFERENCE WRITE-POLARIZER-INTENSITY
DEFINE-INTENSITY-AT WRITE-BREWSTERS-LAW WRITE-EQUALITY
WRITE-ANGLE-DIRECTION-KNOWN-LINES DEFINE-FOCAL-LENGTH DEFINE-IMAGE-DISTANCE
DEFINE-OBJECT-DISTANCE LENS-EQN COMPOUND-FOCAL-LENGTH
LENS-EQN-OBJ-AT-INFINITY LENS-EQN-IMAGE-AT-INFINITY LENS-COMBO
DEFINE-MAGNIFICATION MAGNIFICATION-EQN COMBO-MAGNIFICATION
FOCAL-LENGTH-MIRROR DEFINE-RADIUS-OF-CURVATURE WRITE-SPEED-OF-WAVE
DEFINE-FREQUENCY DEFINE-WAVE-SPEED WRITE-WAVE-SPEED-LIGHT
WRITE-WAVE-SPEED-REFRACTION DEFINE-INDEX-OF-REFRACTION WRITE-SNELLS-LAW
WRITE-TOTAL-INTERNAL-REFLECTION WRITE-RESOLUTION-CIRCULAR-APERTURE
WRITE-KNOWN-VALUE-EQN DEFINE-WAVELENGTH DEFINE-RESOLUTION-ANGLE
DEFINE-DIAMETER-OF-CIRCLE)
(WRITE-COMPLIMENTARY-ANGLES))))
;;
;; Median completion times gotten from running LogProcessing/onelog.pl
;; over USNA from Fall 2005 to Spring 2008
;;
(defparameter *times-scores* '(
(amp1 236 92) (cap1a 584 64) (cap1b 328.5 89.5) (cap2a 380 78) (cap2b 202 94)
(cap3a 506.5 68) (cap4a 526 65.5) (cap5a 593 78.5) (cap6a 222 98)
(cap6b 145 99) (cap9a 29 94)
(cap9b 21.5 92) (charge1a 658 75)
(charge1b 198 86) (charge2 31 100)
(cm1 640.5 57.5) (cm2 526.5 56.5)
(cm3 512 74)
(coul1a 643.5 77)
(coul1b 524 82)
(coul1c 514 57)
(coul2a 1379.5 39)
(coul2b 1204.5 73.5)
(coul2c 469 45.5)
(coul3 1077 43)
(dip1a 947.5 60)
(dip1b 954 43.5)
(dq1 32 95)
(dr1a 120 95)
(dr2a 663 75.5)
(dr2b 491.5 83)
(dr3a 789 83)
(dr4a 714 78)
(dr5a 945 61)
(dr6a 417.5 81.5)
(dr6b 342 81)
(dr7a 1093.5 38)
(dr8a 813.5 72)
(dt10a 2496 37)
(dt11a 1668 53)
(dt11b 1525.5 33)
(dt12a 595 77)
(dt13a 338 85)
(dt13b 496.5 87.5)
(dt14a 242 94.5)
(dt14b 302 93)
(dt1a 572 72)
(dt1b 372 76)
(dt1c 534 78)
(dt2a 419 94)
(dt3a 418 88)
(dt3b 428.5 54)
(dt4a 564.5 84.5)
(dt4b 418 91)
(dt5a 466 82)
(dt6a 1260.5 58)
(dt6c 1468 93)
(dt7a 285 99)
(dt7b 540.5 92)
(dt7bplan 218 100)
(dt8a 299.5 64.5)
(dt9a 719 83)
(e10a 507 89)
(e11a 510 92)
(e1a 238 98)
(e1b 292 96)
(e1c 271 96)
(e2a 489 88)
(e2b 327 98)
(e2c 750 95)
(e3a 292 97)
(e4a 673 77)
(e4b 379 95)
(e4c 263.5 84.5)
(e5a 304 94)
(e5b 236 100)
(e6a 238 99)
(e7a 647 88)
(e7aplan 313 100)
(e7b 327 91)
(e8a 828.5 79.5)
(e8b 671.5 87)
(e9a 636.5 87.5)
(e9b 733 84)
(efield1a 239.5 94)
(efield1b 125 98)
(efield1c 181 92)
(efield1d 182 93)
(efield1e 256 86)
(efield2 36 100)
(efield3 41 96)
(efield4a 151 95)
(efield4b 124 94)
(elec1a 612 82.5)
(elec1b 158.5 42.5)
(elec2 369 30)
(elec3b 901 59)
(elec4b 485.5 89)
(elec5b 439 88)
(elec6b 1086.5 39)
(emwave1 162 93)
(emwave2a 306.5 84.5)
(emwave3a 330.5 83.5)
(emwave4 306 84)
(emwave5 351 75)
(epot1a 59.5 94)
(epot1b 37 92)
(epot1c 50 90)
(epot2 27 94)
(epow1 243 83)
(epow2 293 88)
(epow3 382 82)
(epow4 368 89)
(eqcap1a 182 90)
(eqcap1b 67 98)
(eqcap1c 161 96)
(eqcap1d 114.5 87)
(eqcap2a 130 60.5)
(eqcap2b 134.5 87.5)
(eqcap3a 162.5 98)
(eqcap3b 83 69)
(eqcap4a 209 92)
(eqcap4b 131 70)
(eqcap5a 171 95)
(eqcap6a 300 95)
(eqres1a 143 95)
(eqres1b 78 100)
(eqres1c 95 99)
(eqres1d 143 71)
(eqres1e 122 100)
(eqres2a 78 90)
(eqres2b 102 75)
(eqres3a 89.5 70)
(eqres3b 68 59)
(eqres4a 86 80)
(eqres4b 174.5 66.5)
(eqres5a 149.5 99)
(eqres6a 440 81)
(eqres7a 54 93)
(eqres7b 26.5 97)
(eqres8a 35 94)
(eqres8b 31 93)
(erot2 572 83)
(erot3 1366.5 89.5)
(erot4 46 89)
(fara10a 239 98)
(fara10b 188.5 99)
(fara11a 667 49)
(fara11b 433 71.5)
(fara1a 78.5 93)
(fara1b 34 97)
(fara2a 28 97)
(fara2b 24 97)
(fara3a 38 94)
(fara3b 21.5 97)
(fara4a 23 97)
(fara4b 18 97)
(fara5a 44 94)
(fara5b 26 97)
(fara5c 24 94)
(fara6a 44.5 94)
(fara6b 26 94)
(fara7a 40 93)
(fara7b 19 96)
(fara7c 19 96)
(fara7d 17.5 96)
(fara8a 44.5 96)
(fara8b 29 92)
(fara8c 23 96)
(fara9 721 48)
(fbd1a 371 79)
(fbd1b 132.5 94)
(fbd2a 180 93)
(fbd3a 155 95)
(fbd4a 157.5 86.5)
(fbd5a 116.5 97)
(fbd6a 269 88)
(fbd8 73 100)