A thin uniform square plate with side l and mass M is free to rotate about vertical axis, as shown. A small ball of mass m is traveling normal to the plate with speed v0 and collides elastically with the plate striking it at its center. Find: a. The velocity of the ball, v, after the collision. b. The horizontal component of the resultant force the axis exerts on the plate after the collision.

A thin uniform square plate with side l and mass M is free to rotate about vertical axis, as shown. A small ball of mass m is traveling normal to the plate with speed v0 and collides elastically with the plate striking it at its center. Find: a. The velocity of the ball, v, after the collision. b. The horizontal component of the resultant force the axis exerts on the plate after the collision.

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Question

A thin uniform square plate with side l and mass M is free to rotate about vertical axis, as shown. A small ball of mass m is traveling normal to the plate with speed v₀and collides elastically with the plate striking it at its center. Find:

a. The velocity of the ball, v, after the collision.

b. The horizontal component of the resultant force the axis exerts on the plate after the collision.