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} $
