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DISCUSSION and HINTS

The animation below shows the impact of particle B with the bar.

Freeze-frame of motion immediately after impact.

Recall the following four-step plan outline in the lecture book and discussed in lecture:

Step 1: FBDs
Draw a single free body diagram (FBD) of the particle and bar.

Step 2: Kinetics (impulse/momentum equations)
Using your FBD above, sum moments about point A . Consider the time of the impact to be short such that there is no change in position of either the bar or B during impact. Also, consider the particle to be of small physical dimensions.

What does your moment equation above say about the angular momentum of the system about point A?

Step 3: Kinematics
What kinematics do you need to solve this problem?

Step 4: Solve
From your equations in Steps 2 and 3, solve for the angular velocity of the bar immediately after impact.