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Disk 1 rotates about a smooth vertical a...

Disk 1 rotates about a smooth vertical axis with the angular velocity `omega_(1)`. Disk 2 rotating with the angular velocity `omega_(2)` is kept on disk 1 while rotating in the same direction. Find the change in the rotational kinetic energy of the system given that the moments of inertia of the disks relative to the rotation axis are equal to `I_(1)andI_(2)`, respectively. The constant surface of the disks are rough.

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To find the change in the rotational kinetic energy of the system consisting of two disks, we will follow these steps: ### Step 1: Understand the Initial Conditions We have two disks: - Disk 1 with moment of inertia \( I_1 \) and angular velocity \( \omega_1 \). - Disk 2 with moment of inertia \( I_2 \) and angular velocity \( \omega_2 \). The disks are rotating in the same direction, but with different angular velocities. ...
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