A block with mass rests on a frictionless surface and is connected to a horizont

Question

A block with mass rests on a frictionless surface and is connected to a horizontal spring of force constant , the other end of which is attached to a wall (see the figure ). A second block with mass rests on top of the first block. The coefficient of static friction between the blocks is .

A block with mass rests on a frictionless surface and is connected to a horizontal spring of force constant , the other end of which is attached to a wall (see the figure ). A second block with mass rests on top of the first block. The coefficient of static friction between the blocks is . Find the maximum amplitude of oscillation such that the top block will not slip on the bottom block.

Explanation / Answer

force at extreme = kx
so a = kx/(M+m)
on the bolck m
static friction =mg

mg = m(a) = mkx/(M+m)

=> xmax = g(M+m)/k

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