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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

g1cos⁡α

b

rgtan⁡α

c

gtan⁡αr+lsin⁡α

d

gtan⁡αr

answer is C.

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Detailed Solution

Tsin⁡α=mω2RTcos⁡α=mgtan⁡α=ω2Rgω=gtanαR=gtanαr+l sinα
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