NOTE: Please use F = 2000 N in this problem.
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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 P.
Step 2: Kinetics (angular impulse/momentum and work/energy)
Note that all forces acting on P in the plane of the table point toward the fixed point O. What does this say about the angular momentum of P about point O? Also, consider the work/energy equation for P.
Step 3: Kinematics
The kinematics of P are best written in terms of polar coordinates R and φ.
Step 4: Solve
Solve for the R and φ components of velocity of P from these equations.