A ball of mass (m)is attached to a string of length (L). It is being swung in a

Question

A ball of mass (m)is attached to a string of length (L). It is being swung in a vertical circle with enough speed so that the string remains taut throughout the ball's motion. Assume that the ball travels freely in this vertical circle with negligible loss of total mechanical energy. At the top and bottom of the vertical circle, the ball's speeds are V t and V b, and the corresponding tensions in the string are T t and T b . and have magnitudes and T t.T b
Find Tb - Tt , the difference between the magnitude of the tension in the string at the bottom relative to that at the top of the circle.

Explanation / Answer

at bottom, Tb = mg + mVb^2/L at top, Tt = mVt^2/L - mg Tb - Tt = 2mg

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