This is a homework problem in Newtonian mechanics. The problem statement is
A circular wheel (whose radius is $R$ and moment of inertia is $I$) is hit by a hand of mass $m$ repeatedly with a velocity of $v$ (in rest reference frame) tangentially on its circumference so that it speeds up in the direction of rotation. It is hit in such a way that the hand loses all of it's momentum after impact wrt. the reference frame of the point of impact.
The hand is moving along with the elbow, neglecting rotation of forearm. Considering the hand to be a point mass, what is the velocity of the perimeter of the wheel after n hits? [Hint: Solve the recurrence relation]
The whole situation sounds so complicated that I don't know even where to start or how to approach such a problem. Can anyone say how to approach this? Also, does anyone here know the original source (the book where it originated first) of this seemingly hard problem?