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A plank of mass m1 with a bar of mass m2...

A plank of mass `m_1` with a bar of mass `m_2` placed on it lies on a smooth horizontal plane. A horizontal force growing with time t as `F^'=at` (a is constant) is applied to the bar. Find how the accelerations of the plank `w_1` and of the bar `w_2` depend on t, if the coefficient of friction between the plank and the bar is equal to k. Draw the approximate plots of these dependences.

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PHYSICS GALAXY - ASHISH ARORA-NEWTONS LAWS OF MOTION-Unsolved Numerical Problem
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