# Conservation of angular momentum when a system changes configuration.

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A uniform cylinder, mass M= 12 kg, radius R= .36 m, is initially rotating about a vertical axis through its center at angular velocity wo= 6.6 rad/sec. Now two small (point masses), each of mass m= 2 kg, are dropped onto and stick to the cylinder, each at distance r= .24 m from the axis. SEE ATTACHMENT for diagram.

Find wf, the final angular velocity of the combined three objects after the drop.

https://brainmass.com/physics/angular-momentum/conservation-of-angular-momentum-when-a-system-changes-configuration-16549

#### Solution Preview

Solution:

<br>Note 1.

<br>If no external torque is applied to a system, its total angular momentum remains constant.

<br>Note 2.

<br>Recall that the angular momentum, L, of a rotating object with moment of inertia I, and angular rotation speed w is:

<br>(1) L= I ...

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