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A rod AB of length 2m is hinging at poin...

A rod `AB` of length `2m` is hinging at point A and its other end B is attached to a platform on which a point of mass m is kept. Rod rotates about point `A` maintain angle `theta = 30^(@)` with the vertical in such a way that platform remain horizontal and revolves on the horizontal circular path. If the coefficient of static friction between the block and platform is `mu = 0.1` then find the maximum angular velocity in rad`s^(-1)` of rod so that the block does not slip on the platform `(g = 10 ms^(-2))`

Text Solution

Verified by Experts

The correct Answer is:
1
`N = mg mu N = mr omega^(2)`
`mu mg= m2sin theta omega^(2)`
`rArr omega = sqrt((mu g)/(2 sin theta)) = sqrt((0.1 xx 10)/(2 xx sin 30)) = 1 rads^(-1)`
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