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Question

A block of mass m is kept on the edge of a horizontal turn table of radius R, which is rotating with constant angular velocity ω (along with the block) about its axis. If coefficient of friction force between block and table.
984320_2a5f5de3c1394f969124dffcde972e47.png

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Solution

The block. in Fig. does not accelerate vertically. Therefore, we model it as a particle in equilibrium in the vertical direction. It experiences a centripetal acceleration in the horizontal direction. In this case, centripetal force is provided by friction.
Fy=Nmg=0
N = mg (i)
Fx=f=mac=mω2R (ii)
Friction force = centripetal force = mω2R
1031259_984320_ans_053d3c36b1514b0bb21fd5222f8c629b.png

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