The block in the figure oscillates sinusoidally between x = +a and x = %u2212a. The coordinate is x(t) = a cos(wt).
In the questions below, express the answers in terms of a and w show and explain your work.
(a) What is the time for one complete cycle, a -> -a -> a?
(b) Calculate the velocity v(t).
(c) Calculate the maximum speed.
(d) Calculate the average speed (averaged over a complete cycle).