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A thin rod has a length of 0.834 m and rotates in a circle on a...

A thin rod has a length of 0.834 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 0.610 rad/s and a moment of inertia of 1.42 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?

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