For example, I am working on this problem, and I don't know where to begin. All the relationships that I can think of include a constant amplitude. [A (w/w^2) sin/cos theta]
Here's the problem: A person rides on a mechanical bucking horse that oscillates up and down with simple harmonic motion. The period of the bucking is 0.74 s, and the amplitude is slowly increasing. What is the amplitude the rider must hang on to prevent separating from the mechanical horse?
Note: You don't have to give me the answer, just explain the appropriate relationships.