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Q.

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 tothe plank will be

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a

μg

b

2/5 .μg

c

2μg

d

zero

answer is C.

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Detailed 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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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 tothe plank will be