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Question

A boy holds a pendulum in his hand while standing at the edge of a circular platform of radius r rotating at an angular speed w. The pendulum sill hang at an angle q with the vertical such that :-

A
tanq=o
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B
tanθ=rω2r2g
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C
tanθ=rω2g
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D
tanθ=gω2r
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Solution

The correct option is C tanθ=rω2g
A pseudo force (mar) acts on the bob due to the rotation of circular platform.
In bob's frame bob is at rest
Tsinθ=mar(ar=rw2)
Tsinθ=mrw2---------------(1)
Tcosθ=mg------------------------(2)
Dividing (2) by (1) we get tanθ=rw2g
Hence
option (C) is correct answer.

1206711_1269388_ans_5b7062012f1449cea3fcf14f7206f074.PNG

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