Problem 3-31

Problem 3-43

Find the Fourier series representation of the function, (sin(wt))^3

Suppose F(t)=F_0 sin(wt) for t > 0 (and is 0 for t < 0 ).
a) calculate x(t) assuming x(t)=0 for t < 0 and using appropriate boundary conditions at t=0 and the complete solution for t > 0. Assume w < < < w_0 , and beta < < w_0 .
b) extra credit/optional: do the same problem for w=w_0

(this is somewhat hard, but not computationally too messy. Work to lowest order...). (I think that you can get a meaningful answer using delta=0. Is this true?)

Read about response to impulse forces (Ch 3.10)

Read about generalized coordinates (Ch 7.2 and 7.3 and Euler's equation 6.3)