A meter stick of length l and mass M lies on a frictionlesss table. The stick is free to move in any way on the table. A hockey ball of mass m moving perpendicuarly to the mass of the ball so that it remains at rest immediately after the collision?
[Hint: Elastic collision means that kinetic energy is conserved in the process. Consider conservation of kinetic energy, conservation of angualr momentum and linear momentum, i.e., `1/2mv^(2)` = `(1/2Mv^(2') + 1/2Iepsilon^(2)`, `mv1/2 = Iepsilon`, `mv = Mv^(')`.
Eliminate `v^(2')` and `w^(2)` from the first with the help of the other two. Use the expression `I = 1/12 MI^(2)]`

Answer

`M//4`