using System;
using L=Science.Physics.GeneralPhysics;
namespace Serway.Chapter18
{
///
/// Example05: Changing String Vibration with Water
/// One end of a horizontal string is attached to a
/// vibrating blade and the other end passes over
/// a pulley. A sphere of mass 2.0 kg hangs on the end
/// of the string. The string is vibrating in its second
/// harmonic. A contained of water is raised under the
/// sphere so that the spere is completely submerged.
/// After this is done, the string vibrates in its fifth
/// harmonic. What is the radius of the sphere?
/// r = 7.38 cm
///
public class Example05
{
public Example05()
{
}
private string result;
public string Result
{
get{return result;}
}
public void Compute()
{
// sqrt(T/mu) = v = lambda*f = L/2*2*f
// sqrt(T'/mu) = v' = lambda'*f = L/5*2*f
// T' = m*g - rho_water*4*pi/3*r^3*g
double ans = Math.Pow((25.0-4.0)/25.0*2.0*3.0/4.0/Math.PI/1000.0,1.0/3.0);
result+=ans.ToString();
}
}
}
//0.0737462980252866