First slide

Circular motion in horizontal plane

Question

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 maximum angular velocity in radian s^–1 with which the body should move so that it does not leave the path is (g=10ms^–2)

Moderate

A

4
B

3
C

2
D

1

Solution

$\omega = \sqrt {\frac{{\mu g}}{r}} = \sqrt {\frac{{0.5 \times 10}}{5}} rad/\sec$
$\omega = \sqrt 1 = 1\;rad/\sec$

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