Question:
A round disc of moment of inertia $I_2$ about its axis perpendicular to its plane and passing through its centre is placed over another disc of moment of inertia $I_1$ rotating with an angular velocity $\omega$ about the same axis. The final angular velocity of the combination of discs is
A round disc of moment of inertia $I_2$ about its axis perpendicular to its plane and passing through its centre is placed over another disc of moment of inertia $I_1$ rotating with an angular velocity $\omega$ about the same axis. The final angular velocity of the combination of discs is
Updated On: Aug 16, 2024
- $\frac{I_2\omega}{I_1+I_2}$
- $\omega$
- $\frac{I_1\omega}{I_1+I_2}$
- $\frac{(I_1+I_2)\omega}{I_1}$
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The Correct Option is C
Solution and Explanation
Applying conservation of angular momentum.
$I_1\omega=(I_1+I_2)\omega_1$
$\omega_1=\frac{I_1\omega}{(I_1+I_2)}$.
$I_1\omega=(I_1+I_2)\omega_1$
$\omega_1=\frac{I_1\omega}{(I_1+I_2)}$.
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