Activities

• Try in the wave equation of the vibrating string a solution in the form y(t,x) = f(x) cos Ωt and show that in order to satisfy the boundary conditions (which now read f(0) = A, f(L) = 0) one has to choose
  f(x) = A sin k(L-x)/sin kL,
  where k = Ω/v.
• Discuss in which cases resonance will appear.
• Why is unbounded this steady state solution when resonance appear?
• Use the simulation to check the discussion above.