A ball whirls around in a vertical circle at the end of a string. The other end of the string is fixed at the center of the circle. Assuming that the total energy of the ball-Earth system remains constant, show that the tension in the string at the bottom is greater than the tension at the top by six times the weight of the ball.
The Attempt at a Solution
I tried to use W = ∆K = mgy and W₁ + U₁ + W = W₂ + U₂ to solve the problem,
but it did not work out.
I'm pretty lost on this one.