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Q.

A body moves along a circular path of radius 5m. The coefficient of friction between the surface of the path and body is 0.5. The angular velocity is radian s^–1 with which the body should move so that it does not leave
the path is (g=10ms^–2)

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a

2

b

1

c

3

d

4

answer is D.

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Detailed Solution

The frictional force will be the centripetal acceleration.

$μg = {rω}^{2} \Rightarrow ω = \sqrt{\frac{μg}{r}} = \sqrt{\frac{0.5 g}{5}} = 1$

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A body moves along a circular path of radius 5m. The coefficient of friction between the surface of the path and body is 0.5. The angular velocity is radian s–1 with which the body should move so that it does not leavethe path is (g=10ms–2)