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A car is moving in a circular horizontal track of radius 10 m with a constant speed of 10 m/s. A plumb bob is suspended from the roof of the car by a light rigid rod of length 1.00 m. The angle made by the rod with the track is

a
zero
b
30∘
c
45∘
d
60∘

detailed solution

Correct option is C

The different forces acting on the bob are shown inFrom figure we havemgsin⁡θ=mv2Rcos⁡θ∴ tan⁡θ=v2gR=(10)210×10=1θ=tan−1⁡(1)=45∘

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A pendulum of length / = l m is released from θ0 = 600. The rate of change of speed of the bob at θ = 300 is (g = 10 m/s2)


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