Question

A wooden block of mass M sits on a flat metal table which can be made to oscillate horizontally in simple harmonic motion. The coefficient of static friction between the block and table is u. When the table oscillates, the horizontal position xof the block can be expressed as x(t) L cos(wt where L is the amplitude of the oscillation and w is the angular frequency of the oscillation. For a given amplitude, what is the maximum angular frequency at which the table can oscillate without the block slipping? Express your answer in terms of M. u, L, and the acceleration due to gravity g Incorrect. Because there is no vertical motion, and there are only two vertical forces acting CU on the block, the normal force Nacting on the block is equal in magnitude to the blocks weight. N- Mg How is the maximum static friction force related to the normal force? Also, because friction fis the only horizontal force acting on the block, it alone must be responsible for the acceleration a associated with the horizontal oscillation of the block, as expressed by Newtons second law f Ma How is the maximum acceleration in simple harmonic motion related to the amplitude and frequency of the motion?

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un·とing 「亘 Uw -

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