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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 = 9.8 m/s2.

a
10
b
5
c
0.1
d
0.7

detailed solution

Correct option is D

Here the centripetal force is supplied by the functional force. Hence μmg=mv2r=mrω2∴ μg=rω20⋅5×9⋅8=10×ω2Solving, we getω=0⋅7 rad/sec.

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