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A small block of mass, m, sits on top of a larger block of mass, M....

A small block of mass, m, sits on top of a larger block of mass, M. The coefficients of friction between the blocks are μk and μs where μs=3/2μk, but the larger block sits on a frictionless surface. An increasing force, F=ft in the x-direction is exerted on the smaller mass.

a) Find the acceleration of larger block and the smaller block in the time before the smaller block slips off the larger block.

b) the time in which the smaller block slips off

c) the acceleration of each block once the smaller one slips off.

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