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A spool with thread wound on it, of mass...

A spool with thread wound on it, of mass m, rests on a rough horizontal surface. Its moment of inertia relative to its own axis is equal to `I=gammamR^2`, where `gamma` is a numerical factor, and R is the outside radius of the spool. The radius of the wound thread layer is equal to r. The spool is pulled without sliding by the thread with a constant force F directed at an angle `alpha` to the horizontal (figure). Find:
(a) the projection of the acceleration vector of the spool axis on the x-axis,
(b) the work performed by the force F during the first t seconds after the beginning of motion.

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