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Consider a cylinder of mass M and radius...

Consider a cylinder of mass `M` and radius `R` lying on a rough horizontal plane. It has a plank lying on its top as shown in the figure. A force `F` is applied on the plank such that the plank moves and causes the cylinder to roll. The plank always remains horizontal. There is no slipping at any point to contact.

`(a)` what are the directions of the fricition forces acting at `A` and `B` on the plank and the cylinder ?
`(b)` Calculate the acceleration of the cylinder.
`(c )` Find the value of frictional force at `A` & `B`.

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