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A wheel rolls purely between a rough hor...

A wheel rolls purely between a rough horizontal surface below it and a horizontal plank above it under the action of a horizontal force `F` applied on the plank. If at any time `vec(v)_(p)` and `vec(v)_(c)` represent velocity of plank and velocity and `vec(a)_(p)` and `vec(a)_(c)` represent acceleration of plank and acceleration of centre of mass of wheel respectively then which of the following is `//` are correct.

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