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PSE 5E PROBLEM 5.26

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commit f0c68651d52280d3a388e3cf58715cdf7f4961ad 1 parent cae0063
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71 PSE 5E PROBLEM 5.26 KITE-FLYING CONTEST/PSE 5E PROBLEM 5.26 KITE-FLYING CONTEST.csproj
@@ -0,0 +1,71 @@
+<?xml version="1.0" encoding="utf-8"?>
+<Project ToolsVersion="4.0" DefaultTargets="Build" xmlns="http://schemas.microsoft.com/developer/msbuild/2003">
+ <PropertyGroup>
+ <Configuration Condition=" '$(Configuration)' == '' ">Debug</Configuration>
+ <Platform Condition=" '$(Platform)' == '' ">x86</Platform>
+ <ProductVersion>8.0.30703</ProductVersion>
+ <SchemaVersion>2.0</SchemaVersion>
+ <ProjectGuid>{9B655E4F-E859-4E61-AF03-98621165F87C}</ProjectGuid>
+ <OutputType>Exe</OutputType>
+ <AppDesignerFolder>Properties</AppDesignerFolder>
+ <RootNamespace>PSE_5E_PROBLEM_5._26_KITE_FLYING_CONTEST</RootNamespace>
+ <AssemblyName>PSE 5E PROBLEM 5.26 KITE-FLYING CONTEST</AssemblyName>
+ <TargetFrameworkVersion>v4.0</TargetFrameworkVersion>
+ <TargetFrameworkProfile>Client</TargetFrameworkProfile>
+ <FileAlignment>512</FileAlignment>
+ </PropertyGroup>
+ <PropertyGroup Condition=" '$(Configuration)|$(Platform)' == 'Debug|x86' ">
+ <PlatformTarget>x86</PlatformTarget>
+ <DebugSymbols>true</DebugSymbols>
+ <DebugType>full</DebugType>
+ <Optimize>false</Optimize>
+ <OutputPath>bin\Debug\</OutputPath>
+ <DefineConstants>DEBUG;TRACE</DefineConstants>
+ <ErrorReport>prompt</ErrorReport>
+ <WarningLevel>4</WarningLevel>
+ </PropertyGroup>
+ <PropertyGroup Condition=" '$(Configuration)|$(Platform)' == 'Release|x86' ">
+ <PlatformTarget>x86</PlatformTarget>
+ <DebugType>pdbonly</DebugType>
+ <Optimize>true</Optimize>
+ <OutputPath>bin\Release\</OutputPath>
+ <DefineConstants>TRACE</DefineConstants>
+ <ErrorReport>prompt</ErrorReport>
+ <WarningLevel>4</WarningLevel>
+ </PropertyGroup>
+ <ItemGroup>
+ <Reference Include="System" />
+ <Reference Include="System.Core" />
+ <Reference Include="System.Xml.Linq" />
+ <Reference Include="System.Data.DataSetExtensions" />
+ <Reference Include="Microsoft.CSharp" />
+ <Reference Include="System.Data" />
+ <Reference Include="System.Xml" />
+ </ItemGroup>
+ <ItemGroup>
+ <Compile Include="Program.cs" />
+ <Compile Include="Properties\AssemblyInfo.cs" />
+ </ItemGroup>
+ <ItemGroup>
+ <ProjectReference Include="..\Physics\Physics.csproj">
+ <Project>{73E0C26D-5333-4575-A3E9-5388E975446E}</Project>
+ <Name>Physics</Name>
+ </ProjectReference>
+ <ProjectReference Include="..\Symbolism\Symbolism.csproj">
+ <Project>{067278C5-2A0F-42DE-838B-855EFB652608}</Project>
+ <Name>Symbolism</Name>
+ </ProjectReference>
+ <ProjectReference Include="..\Utils\Utils.csproj">
+ <Project>{A3F0F5DB-7EB2-488F-B79C-F667C4E5AB02}</Project>
+ <Name>Utils</Name>
+ </ProjectReference>
+ </ItemGroup>
+ <Import Project="$(MSBuildToolsPath)\Microsoft.CSharp.targets" />
+ <!-- To modify your build process, add your task inside one of the targets below and uncomment it.
+ Other similar extension points exist, see Microsoft.Common.targets.
+ <Target Name="BeforeBuild">
+ </Target>
+ <Target Name="AfterBuild">
+ </Target>
+ -->
+</Project>
View
75 PSE 5E PROBLEM 5.26 KITE-FLYING CONTEST/Program.cs
@@ -0,0 +1,75 @@
+using System;
+using System.Collections.Generic;
+using System.Linq;
+using System.Text;
+
+using Symbolism;
+using Physics;
+using Utils;
+
+namespace PSE_5E_PROBLEM_5._26_KITE_FLYING_CONTEST
+{
+ class Program
+ {
+ static void Main(string[] args)
+ {
+ // You are a judge in a children’s kite-flying contest, and
+ // two children will win prizes for the kites that pull most
+ // strongly and least strongly on their strings. To measure
+ // string tensions, you borrow a weight hanger, some slotted
+ // weights, and a protractor from your physics teacher
+ // and use the following protocol, illustrated in Figure
+ // P5.26: Wait for a child to get her kite well-controlled,
+ // hook the hanger onto the kite string about 30 cm from
+ // her hand, pile on weights until that section of string is
+ // horizontal, record the mass required, and record the
+ // angle between the horizontal and the string running up
+ // to the kite. (a) Explain how this method works. As you
+ // construct your explanation, imagine that the children’s
+ // parents ask you about your method, that they might
+ // make false assumptions about your ability without concrete
+ // evidence, and that your explanation is an opportunity to
+ // give them confidence in your evaluation tech-nique.
+ // (b) Find the string tension if the mass required
+ // to make the string horizontal is 132 g and the angle of
+ // the kite string is 46.3°.
+
+ var F1 = new Symbol("F1");
+ var F2 = new Symbol("F2");
+ var F3 = new Symbol("F3");
+
+ var th1 = new Symbol("th1");
+ var th2 = new Symbol("th2");
+ var th3 = new Symbol("th3");
+
+ var _F1 = new Point() { angle = th1 };
+ var _F2 = new Point() { angle = th2 };
+ var _F3 = new Point() { magnitude = F3, angle = th3 };
+
+ var m = new Symbol("m");
+
+ var obj = new Obj();
+
+ obj.acceleration.x = 0;
+ obj.acceleration.y = 0;
+
+ obj.mass = m;
+
+ obj.forces.Add(_F1);
+ obj.forces.Add(_F2);
+ obj.forces.Add(_F3);
+
+ "Tension in line to kite:".Disp(); "".Disp();
+
+ obj.ForceMagnitude(_F2)
+ .Substitute(th1, (180).ToRadians())
+ .Substitute(th2, (46.3 * Math.PI / 180))
+ .Substitute(th3, (270).ToRadians())
+ .Substitute(F3, 0.132 * 9.8)
+ .Substitute(Trig.Pi, Math.PI)
+ .Disp();
+
+ Console.ReadLine();
+ }
+ }
+}
View
36 PSE 5E PROBLEM 5.26 KITE-FLYING CONTEST/Properties/AssemblyInfo.cs
@@ -0,0 +1,36 @@
+using System.Reflection;
+using System.Runtime.CompilerServices;
+using System.Runtime.InteropServices;
+
+// General Information about an assembly is controlled through the following
+// set of attributes. Change these attribute values to modify the information
+// associated with an assembly.
+[assembly: AssemblyTitle("PSE 5E PROBLEM 5.26 KITE-FLYING CONTEST")]
+[assembly: AssemblyDescription("")]
+[assembly: AssemblyConfiguration("")]
+[assembly: AssemblyCompany("")]
+[assembly: AssemblyProduct("PSE 5E PROBLEM 5.26 KITE-FLYING CONTEST")]
+[assembly: AssemblyCopyright("Copyright © 2013")]
+[assembly: AssemblyTrademark("")]
+[assembly: AssemblyCulture("")]
+
+// Setting ComVisible to false makes the types in this assembly not visible
+// to COM components. If you need to access a type in this assembly from
+// COM, set the ComVisible attribute to true on that type.
+[assembly: ComVisible(false)]
+
+// The following GUID is for the ID of the typelib if this project is exposed to COM
+[assembly: Guid("3ff4e071-86af-4ba8-80ac-e7ae25a582bc")]
+
+// Version information for an assembly consists of the following four values:
+//
+// Major Version
+// Minor Version
+// Build Number
+// Revision
+//
+// You can specify all the values or you can default the Build and Revision Numbers
+// by using the '*' as shown below:
+// [assembly: AssemblyVersion("1.0.*")]
+[assembly: AssemblyVersion("1.0.0.0")]
+[assembly: AssemblyFileVersion("1.0.0.0")]
View
12 Symbolism.sln
@@ -31,6 +31,8 @@ Project("{FAE04EC0-301F-11D3-BF4B-00C04F79EFBC}") = "PSE 5E Problem 5.21 Block R
EndProject
Project("{FAE04EC0-301F-11D3-BF4B-00C04F79EFBC}") = "PSE 5E PROBLEM 5.24 BAG OF CEMENT", "PSE 5E PROBLEM 5.24 BAG OF CEMENT\PSE 5E PROBLEM 5.24 BAG OF CEMENT.csproj", "{EEE7C2F8-43D4-48B6-BF53-4EB7C8CD7AC7}"
EndProject
+Project("{FAE04EC0-301F-11D3-BF4B-00C04F79EFBC}") = "PSE 5E PROBLEM 5.26 KITE-FLYING CONTEST", "PSE 5E PROBLEM 5.26 KITE-FLYING CONTEST\PSE 5E PROBLEM 5.26 KITE-FLYING CONTEST.csproj", "{9B655E4F-E859-4E61-AF03-98621165F87C}"
+EndProject
Global
GlobalSection(SolutionConfigurationPlatforms) = preSolution
Debug|Any CPU = Debug|Any CPU
@@ -191,6 +193,16 @@ Global
{EEE7C2F8-43D4-48B6-BF53-4EB7C8CD7AC7}.Release|Mixed Platforms.Build.0 = Release|x86
{EEE7C2F8-43D4-48B6-BF53-4EB7C8CD7AC7}.Release|x86.ActiveCfg = Release|x86
{EEE7C2F8-43D4-48B6-BF53-4EB7C8CD7AC7}.Release|x86.Build.0 = Release|x86
+ {9B655E4F-E859-4E61-AF03-98621165F87C}.Debug|Any CPU.ActiveCfg = Debug|x86
+ {9B655E4F-E859-4E61-AF03-98621165F87C}.Debug|Mixed Platforms.ActiveCfg = Debug|x86
+ {9B655E4F-E859-4E61-AF03-98621165F87C}.Debug|Mixed Platforms.Build.0 = Debug|x86
+ {9B655E4F-E859-4E61-AF03-98621165F87C}.Debug|x86.ActiveCfg = Debug|x86
+ {9B655E4F-E859-4E61-AF03-98621165F87C}.Debug|x86.Build.0 = Debug|x86
+ {9B655E4F-E859-4E61-AF03-98621165F87C}.Release|Any CPU.ActiveCfg = Release|x86
+ {9B655E4F-E859-4E61-AF03-98621165F87C}.Release|Mixed Platforms.ActiveCfg = Release|x86
+ {9B655E4F-E859-4E61-AF03-98621165F87C}.Release|Mixed Platforms.Build.0 = Release|x86
+ {9B655E4F-E859-4E61-AF03-98621165F87C}.Release|x86.ActiveCfg = Release|x86
+ {9B655E4F-E859-4E61-AF03-98621165F87C}.Release|x86.Build.0 = Release|x86
EndGlobalSection
GlobalSection(SolutionProperties) = preSolution
HideSolutionNode = FALSE
View
71 Tests/Tests.cs
@@ -871,6 +871,77 @@ static void Main(string[] args)
}
#endregion
+ #region PSE 5E PROBLEM 5.26
+ {
+ // You are a judge in a children’s kite-flying contest, and
+ // two children will win prizes for the kites that pull most
+ // strongly and least strongly on their strings. To measure
+ // string tensions, you borrow a weight hanger, some slotted
+ // weights, and a protractor from your physics teacher
+ // and use the following protocol, illustrated in Figure
+ // P5.26: Wait for a child to get her kite well-controlled,
+ // hook the hanger onto the kite string about 30 cm from
+ // her hand, pile on weights until that section of string is
+ // horizontal, record the mass required, and record the
+ // angle between the horizontal and the string running up
+ // to the kite. (a) Explain how this method works. As you
+ // construct your explanation, imagine that the children’s
+ // parents ask you about your method, that they might
+ // make false assumptions about your ability without concrete
+ // evidence, and that your explanation is an opportunity to
+ // give them confidence in your evaluation tech-nique.
+ // (b) Find the string tension if the mass required
+ // to make the string horizontal is 132 g and the angle of
+ // the kite string is 46.3°.
+
+ var F1 = new Symbol("F1");
+ var F2 = new Symbol("F2");
+ var F3 = new Symbol("F3");
+
+ var th1 = new Symbol("th1");
+ var th2 = new Symbol("th2");
+ var th3 = new Symbol("th3");
+
+ var _F1 = new Point() { angle = th1 };
+ var _F2 = new Point() { angle = th2 };
+ var _F3 = new Point() { magnitude = F3, angle = th3 };
+
+ var m = new Symbol("m");
+
+ var obj = new Obj();
+
+ obj.acceleration.x = 0;
+ obj.acceleration.y = 0;
+
+ obj.mass = m;
+
+ obj.forces.Add(_F1);
+ obj.forces.Add(_F2);
+ obj.forces.Add(_F3);
+
+ //"Tension in line to kite:".Disp(); "".Disp();
+
+ //obj.ForceMagnitude(_F2)
+ // .Substitute(th1, (180).ToRadians())
+ // .Substitute(th2, (46.3 * Math.PI / 180))
+ // .Substitute(th3, (270).ToRadians())
+ // .Substitute(F3, 0.132 * 9.8)
+ // .Substitute(Trig.Pi, Math.PI)
+ // .Disp();
+
+ AssertEqual(
+ obj.ForceMagnitude(_F2)
+ .Substitute(th1, (180).ToRadians())
+ .Substitute(th2, (46.3 * Math.PI / 180))
+ .Substitute(th3, (270).ToRadians())
+ .Substitute(F3, 0.132 * 9.8)
+ .Substitute(Trig.Pi, Math.PI),
+ 1.7892929261294661);
+
+ //Console.ReadLine();
+ }
+ #endregion
+
Console.WriteLine("Testing complete");
Console.ReadLine();
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