Questions

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})

a

4

b

3

c

2

d

1

detailed solution

Correct option is D

The frictional force will be the centripetal acceleration.

$\mathrm{\mu g}={\mathrm{r\omega}}^{2}\Rightarrow \mathrm{\omega}=\sqrt{\frac{\mathrm{\mu g}}{\mathrm{r}}}=\sqrt{\frac{0.5\mathrm{g}}{5}}=1$

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