A person rides on a mechanical bucking horse (see Figure) that oscillates up and down with...

A person rides on a mechanical bucking horse (see Figure) that oscillates up and down with simple harmonic motion. The period of the bucking is 0.74 s and the amplitude is slowly increasing. At a certain amplitude the rider must hang on to prevent separating from the mechanical horse. (a) Give a strategy that will allow you to calculate this amplitude. (b) Carry out your strategy and find the desired amplitude.

FIGURE