A small rock with mass m is attached to a light string of length L and whirled in a vertical circle of radius R. (a) What is the minimum speed v at the rock’s highest point for which it stays in a circular path? (b) If the speed at the rock’s lowest point in its circular path is twice the value found in part (a), what is the tension in the string when the rock is at this point?

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A small rock with mass m is attached to a light string of length
L and whirled in a vertical circle of radius R. (a) What is the minimum
speed v at the rock’s highest point for which it stays in a circular path?
(b) If the speed at the rock’s lowest point in its circular path is twice the
value found in part (a), what is the tension in the string when the rock
is at this point?

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