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In the diagram, disk 1 has a moment of inertia of 3.2 kg · m2 and...

In the diagram, disk 1 has a moment of inertia of 3.2 kg · m2 and is rotating in the counterclockwise direction with an angular velocity of 7.3 rad/s about a frictionless rod passing through its center. A second disk rotating clockwise with an angular velocity of 8.9 rad/s falls from above onto disk 1. The two then rotate as one in the clockwise direction with an angular velocity of 1.8 rad/s. Determine the moment of inertia, in kg · m2, of disk 2.

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Answer #1

[; = 2 & I, w, & I2 Wa – (I, + fy) Wp (3-2) (7.3) + (12) (-8.9) = (3:2+ [2) (-1.8) 23.36 – 8.9 Iz = -5.76 - 1.81 - I2 = 4.10

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