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

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

Infinity Learn · Accepted Answer

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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