First slide
Kinetic friction
Question

sphere S of mass M is given a finite angular velocity about a horizontal axis through its centre. Now it is gently placed on a plank p of the same mass. The coefficient of friction between the two is μ and the plank rests on a smooth horizontal surface as shown in fig. (6). The initial acceleration of the sphere relative to

the plank will be

Moderate
Solution

The horizontal force acting between the two bodies is the frictional force (μ mg) So, the acceleration of each body will be μ Mg /M=μ g  in opposite direction' Therefore,
relative acceleration=2 μ g

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