Question

A cotton real has a hub of radius r and end caps of radius R. Mass of the reel is M and moment of inertia about the longitudinal rotational axis is I. A force P is applied the free end of the tread wrapped on the reel as shown in the figure.

Answer 1

The wheel will move to right and friction will act of left.
$\begin{array}{c}P-f=Ma\to \left(1\right)\\ fr-P.R=1\propto \to \left(2\right)\\ a=\propto R\to \left(3\right)\end{array}\}a,\propto andf$ are unknown solve to get the answer $\propto$