Two discs of moments of inertia $I_1$ and $I_2$ about their respective axes (normal to the disc and passing through the centre), and rotating with angular speed $\omega _1$ and $\omega _2$ are brought into contact face to face with their axes of rotation coincident. What is the loss in kinetic energy of the system in the process?
Two discs of moments of inertia $I_1$ and $I_2$ about their respective axes (normal to the disc and passing through the centre), and rotating with angular speed $\omega _1$ and $\omega _2$ are brought into contact face to face with their axes of rotation coincident. What is the loss in kinetic energy of the system in the process?
- A
$\frac{{{I_1}{I_2}{{({\omega _1} - {\omega _2})}^2}}}{{2({I_1} + {I_2})}}$
- B
$\frac{{{I_1}{I_2}{{({\omega _1} - {\omega _2})}^2}}}{{({I_1} + {I_2})}}$
- C
$\frac{{{I_1}{I_2}{{({\omega _1} + {\omega _2})}^2}}}{{({I_1} - {I_2})}}$
- D
$\frac{{{I_1}{I_2}{{({\omega _1} + {\omega _2})}^2}}}{{2({I_1} - {I_2})}}$
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