Q.

A ball of mass m is attached to the end of a thread fastened to the top of a vertical rod which is fitted to a horizontally revolving round table as shown. If the thread forms an angle α with the vertical, the angular velocity ω of table is

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a

rgtanα

b

gtanαr+lsinα

c

g1cosα

d

gtanαr

answer is C.

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Detailed Solution

Tsinα=2RTcosα=mgtanα=ω2Rgω=gtanαR=gtanαr+l sinα

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