  # A thin rod has a length of 0.106 m and rotates in a circle on a frictionless tabletop. The axis is perpendicular to the length of the rod at one of its ends. The rod has an angular velocity of 0.735 rad/s and a moment of inertia of 1.20 x 10-3 kg·m2. A bug standing on the axis decides to crawl out to the other end of the rod. When the bug (whose mass is 5 x 10-3 kg) gets where it's going, what is the change in the angular velocity of the rod?

Question

A thin rod has a length of 0.106 m and rotates in a circle on a frictionless tabletop. The axis is perpendicular to the length of the rod at one of its ends. The rod has an angular velocity of 0.735 rad/s and a moment of inertia of 1.20 x 10-3 kg·m2. A bug standing on the axis decides to crawl out to the other end of the rod. When the bug (whose mass is 5 x 10-3 kg) gets where it's going, what is the change in the angular velocity of the rod?

check_circleExpert Solution
Step 1

the final moment of inertia of the system is

Step 2

the expression for angular momentum is

Step 3

rewrite the above equation using the fina...

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