A bob attached to a light string of length L is given an initial velocity u = 3 gL at the bottommost point of a vertical circle. (a) At what height above the bottom will the string slack? (b) What i

Question

A bob attached to a light string of length L is given an initial velocity u = 3 gL ​ at the bottommost point of a vertical circle. (a) At what height above the bottom will the string slack? (b) What is the velocity of the bob just before the string slacks?

TestHub · Accepted Answer

(a) h 1 ​ = 3 g u 2 + gL ​ = 3 g 3 gL + gL ​ = 3 4 L ​ . (b) v = u 2 − 2 g h 1 ​ ​ = 3 gL − 3 8 gL ​ ​ = 3 gL ​ ​ .

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