
This problem is a little tricky in that you need to make sure that you keep all of the details straight.
- Recall that the angular momentum equation integral (sum M_A) dt = H_A2 - H_A1 applies for either A being the CM of the SYSTEM or a fixed point. My recommendation is to first find the CM of the system made up of the particle P and the bar.
- Call this CM of the system point G. Therefore, H_G_bar = I_G*omega, and H_G_particle = m*r_P/G x v_P with H_G = H_G _bar + H_G_particle. Since angular momentum is conserved, H_G2 = H_G1.
- Also, use conservation of linear momentum of the system of the bar and P.
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