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 = γmR2, where γ 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 α to the horizontal (Fig. 1.63). 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.
Solution:
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