Posting this question cause I struggled forever and could not get an answer. You attach one end of a string of length L to a small ball of inertia m. You attach the string's other end to a pivot that allows free revolution.

(a) What is the tension as a function of the angle theta it swept through?
(b) What maximum tension should the string be able to sustain if you want it to not break through the balls entire motion?

ANSWER: (a) 3mgSin(theta) I have no idea why
(b) Maximum of sin(theta) -> 1. You get 3mg