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?
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a
gl
b
2gl
c
4gl
d
5gl
answer is B.
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Detailed Solution
The pendulum can oscillate without string becoming slack, when the bob describes semicircle. Hence12mv2=mgl or v=(2gl)