A bob attached to a light string of length L is given an initial velocity u = 2 gL at the bottommost point. (a) After rotating through what angle θ does the velocity of the bob become zero? (b) If t

Question

A bob attached to a light string of length L is given an initial velocity u = 2 gL ​ at the bottommost point. (a) After rotating through what angle θ does the velocity of the bob become zero? (b) If the mass of the bob is m , what is the tension in the string at that instant?

TestHub · Accepted Answer

(a) h 2 ​ = 2 g u 2 ​ = 2 g 2 gL ​ = L = L ( 1 − cos θ ) , so cos θ = 0 and θ = 9 0 ∘ . (b) With v = 0 there, T = m g cos 9 0 ∘ = 0 .

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