On trigonometry

Question

A pendulum hangs from the ceiling, consists of a mass that is attached to a string with a length of 10 cm. The pendulum is set to motion with a vertical height of 2 cm from its lowest position. The pendulum moves from its initial release position to the lowest point takes about 0.8 seconds.

A. Determine the period of the motion

B. Determine the equation of the motion, h=h(t), where the height is measured from the lowest point.

C. Determine the times within one cycle when the bob is 1 cm from the lowest point.

Answer 1

This is a classic problem in differential equations.

For small displacements the solution is given as a sum of a sin and cos function.

I suggest you look up that solution in a textbook and then plug in the values you are given in the problem.