Laws Of Motion Question 342

Question: A car is moving in a circular horizontal track of radius 10 m with a constant speed of 10 m/s. A bob is suspended from the roof of the car by a light wire of length 1.0 m. The angle made by the wire with the vertical is

Options:

A) $ 0{}^\circ $

B) $ \frac{\pi }{3} $

C) $ \frac{\pi }{6} $

D) $ \frac{\pi }{4} $

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Answer:

Correct Answer: D

Solution:

[d] Given; $ speed=10m/s; $ radius $ r=10m $ Angle made by the wire with the vertical $ \tan \theta =\frac{v^{2}}{rg}=\frac{10^{2}}{10\times 10}=1\Rightarrow \theta =45^{o}=\frac{\pi }{4} $



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