10. Two disks are mounted on low-friction bearings on a commonshaft. The first d

Question

10. Two disks are mounted on low-friction bearings on a commonshaft. The first disc has rotational inertia I and is spinning with angular velocity . The second disc has rotational inertia 2I and is spinning in the same direction as the firstdisc with angular velocity 2 as shown. The two disks are slowly forced toward each other alongthe shaft until they couple and have a final common angular velocity of: A) 5 /3 B) 3 C) 7 3 D) E)3 10. Two disks are mounted on low-friction bearings on a commonshaft. The first disc has rotational inertia I and is spinning with angular velocity . The second disc has rotational inertia 2I and is spinning in the same direction as the firstdisc with angular velocity 2 as shown. The two disks are slowly forced toward each other alongthe shaft until they couple and have a final common angular velocity of: A) 5 /3 B) 3 C) 7 3 D) E)3

Explanation / Answer

I + 2 I (2 * ) = If f = 3 I f    by conservation of angular momentum   and If =3 I Then f = 5 / 3

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