A body moves along circular path of radius 10 m and the coefficient of friction is 0.5. What should be its angular velocity in rad/sec if it is not to slip from the surface? (g=9.8m/s2)
A
0.1
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B
0.7
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C
5
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D
10
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Solution
The correct option is B 0.7 Since, the centripetal force is supplied by the frictional force, therefore μmg=mv2rmrω2 ⇒μg=rω2⇒0.5×9.8=10×ω2 ⇒ω2=0.7rad/sec