using System; using L=Science.Physics.GeneralPhysics; namespace Serway.Chapter06 { /// /// Example02: The Conical Pendulum /// A small object of mass m is suspended from a /// string of length L. The object revolves with /// constant speed v in a horizontal circle of radius r, /// as shown in Figure 6.4 (Because the string sweeps out /// the surface of a cone, the system is known as a /// conical pendulum.) Find an expression for v. /// v = \sqrt{L g \sin\theta \tan\theta} /// public class Example02 { public Example02() { } private string result; public string Result { get{return result;} } public void Compute() { result += "r = L*sin(theta) \r\n"+ "a = v^2/r \r\n"+ "tan(theta) = a / g \r\n"+ "v^2 = tan(theta) * g * r \r\n"+ "v = Sqrt{tan(theta) * g * L * sin(theta)}"; } } } /* r = L*sin(theta) a = v^2/r tan(theta) = a / g v^2 = tan(theta) * g * r v = Sqrt{tan(theta) * g * L * sin(theta)} */