Assignment:
Consider the displacement of ,u(r,t) , a "pie-shaped" membrane of radius a and angle /3 that satisfies:
utt = c22u
Assume that >0. Determine the natural frequencies of oscillation if the boundary conditions are:
Problem a.
a) u(r, 0, t) = 0, u(r, /3, t) = 0, ur(a, t) = 0
problem b.
b) u(r, 0, t) = 0, u(r, /3, t) = 0, u(a, t) = 0