using System; using Science.Mathematics; using L=Science.Physics.GeneralPhysics; namespace Serway.Chapter07 { /// /// Example06: Measuring K for a Spring /// A common technique used to measure the force constant /// of a spring is demonstrated by the setup in Figure 7.12. /// The spring is hung vertically, and an object of mass m /// is attached to its lower end. Under the action of /// the "load" mg, the spring stretches a distance d from /// its equilibrium position. /// (A) If a spring is stretched 2.0 cm by a suspended object /// having a mass of 0.55 kg. /// what is the force constant of the spring? /// k = 2.7 \times 10^2 N/m /// (B) How much work is done by the spring as it stretches /// through this distance? /// W = -5.4 \times 10^{-2} J /// public class Example06 { public Example06() { } private string result; public string Result { get{return result;} } public void Compute() { L.Mass m = new L.Mass(); m.kg = 0.55; double k = 0.55*L.Constant.AccelerationOfGravity/0.02; result = k.ToString()+" "; L.Vector.FunctionOfPosition func = new L.Vector.FunctionOfPosition(FvsX); L.Force f = new L.Force(); f.VectorFunctionOfPosition = func; L.Line.Parameterization pf = new L.Line.Parameterization(XvsT); L.Line p = new L.Line(pf); p.ParameterStartValue = 0.0; p.ParameterEndValue = 0.02; L.Work w = new L.Work(f,p); result += w.ToString(); } private L.Vector FvsX(L.Position x) { L.Vector force = new L.Vector(); force.X = -0.55*L.Constant.AccelerationOfGravity/0.02*x.X; return force; } private L.Position XvsT(double t) { L.Position x = new L.Position(); x.X = t; return x; } } } // 269.5 -0.0538999999999746 +/- 0 (J)