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A uniform stick of mass m and length l w...

A uniform stick of mass m and length l with `I=1/12 ml^(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 m//M be so that after the collision the stick has translational motion but no rotational motion?

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