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Q.

A car is moving in a circular horizontal track of radius 10m with a constant speed of 10 ms–1. A plumb bob is suspended from the roof of the car by a string of length 1m. The angle made by the string with vertical is (g=10ms–2)

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a

00

b

450

c

600

d

300

answer is C.

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Detailed Solution

Question Image

From the figure, 

Tsinθ=mv2r   centripetal 

Tcosθ=mg  (weight)

⇒TsinθTcosθ=mv2r×1mg

⇒tanθ=v2rg⇒10210×10=1⇒θ=450

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