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Q.

A rod AB of length 2 m is hinged at point A in and its other end B is attached to a platform on which a block of mass m is kept. Rod rotates about point A maintaining angle θ=30∘ with the vertical in such a way that platform remains horizontal and revolves on the horizontal circular path. If the coefficient of static friction between the block and platform is μ=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=10ms−2

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Detailed Solution

N=mg,μN=mrω2     μmg=m2sin⁡θω2⇒ω=μg2sin⁡θ=0.1×102×sin⁡30=1rads−1
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