A bob attached to a light string of length L is given an initial velocity u = 6 gL at the bottommost point of a vertical circle. (a) What is the velocity at the topmost point? (b) What is the tensio

Question

A bob attached to a light string of length L is given an initial velocity u = 6 gL ​ at the bottommost point of a vertical circle. (a) What is the velocity at the topmost point? (b) What is the tension at the topmost point? (c) What is the tension at the bottommost point?

TestHub · Accepted Answer

(a) v = u 2 − 4 gL ​ = 6 gL − 4 gL ​ = 2 gL ​ . (b) T + m g = L m v 2 ​ = 2 m g , so T = m g . (c) T − m g = L m u 2 ​ = 6 m g , so T = 7 m g .

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