question_answer

A uniform stick of mass m and length ℓ with \[I=\frac{1}{12}\]\[m{{\ell }^{2}}\]spins around on a frictionless horizontal plane, with its CM stationary. A mass M is placed on the plane, and the stick collides elastically with it, as shown (with the contact point being the end of the stick). What should be the ratio of \[\frac{m}{M}\]be so that after the collision the stick has translational motion, but no rotational motion?

Answer:

2.00