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Question

A car moving in a circular horizontal track of radius 10m with a constant speed of 10ms1. A plumb bob is suspended from the roof of the car by a light rigid rod of length 1m. The angle made by rod with the track is:

A
0o
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B
30
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C
45
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D
60
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Solution

The correct option is B 45
Let the angle made by the rod with the track is θ
Let the tension in the string be T
Tcosθ=mv2r ....(1)
Tsinθ=mg.......(2)
Dividing (2) by (1)
sinθcosθ=gv2r=grv2
tanθ=grv2=10×10102=1=tan45
θ=45

199150_136790_ans_155f949636ba4fea8b3190c1853063c2.PNG

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