Discussion and hints
Recall the following four-step plan outline in the lecture book and discussed in lecture:
Step 1: FBDs
Draw a free body diagram of the system made up of particles A and P, and link OA
Step 2: Kinetics (angular impulse/momentum)
Note that the moment about point O on the system is zero. What does this say about the angular momentum of the system about point O? Note that energy is not conserved on the system.
Step 3: Kinematics
Since P sticks to A during impact, we can write vA2 = vP2. Also, we know that the speed of A is equal to LωOA since OA is a rigid member.
Step 4: Solve
Solve for the angular speed of OA, ωOA, after impact.
Any questions?