A simple pendulum consists of light string from which a spherical bob of mass m is suspended. The distance between the point of suspension and the centre of the bob is l. The bob is given a tangential velocity v at the position of equilibrium (bottom). What can be maximum value of V so that the pendulum oscillates without the string becoming slack?

Question

Infinity Learn · Accepted Answer

The pendulum can oscillate without string becoming slack, when the bob describes semicircle. $$Hence12mv2=mgl$$ or  $$v=(2gl)$$

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