A particle of mass M_1 is traveling with velocity v_1 in the positive x directio

Question

A particle of mass M_1 is traveling with velocity v_1 in the positive x direction on the line y = y_o. A second particle of mass M2 is traveling in the positive y direction along the line x = x_0. The two particles undergo a perfectly inelastic collision at time to. This occurs on the edge of a Merrygo-Round with a center located at (x_1, y_10 with a moment of inertia I). The two particles stick to the Merry-go-Round, which starts with an angular speed of _o. Find the final angular speed of the system about the center of the Merry-go-Round.

Explanation / Answer

From law of conservation of momentum, we write

Initial angular Momentum = Final Angular Momentum

M_1*v_1*y_0+M_2*v_2*x_0 = I * _o

_o = (M_1*v_1*y_0+M_2*v_2*x_0) / I

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