First slide
Two block problem

A plank having mass M is placed on smooth horizontal surface. Block of mass m is placed on it coefficient of friction between block and plank is μ0+kx2, where k is constant and x is relative displacement between block and plank. A force F is applied on block where F = at, where a = 10; t is in second. Find t0 when relative motion will occur between block and plank


Let at time t0 relative motion will occur

μ0mg=Ma    ......(1)

10t0μ0mg=ma   .......(2)

From (1) and (2) ; 


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