A small sphere of mass m is suspended from a fringe by a light rigid rod of length l. The rod can swing in a vertical circle with what minimum velocity should the sphere be projected horizontally for which it will complete a vertical revolution ?
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a
5gl
b
gl2
c
2gl
d
gl
answer is C.
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Detailed Solution
(3)For the minimum velocity of projection, the velocity of projection at the top most position of its trajectory will be zero.Conserving Energy, 12m umin2 + 0=0+mg . 2l⇒ umin = 2gl