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Question: Answered & Verified by Expert
Two discs of moments of inertia I1and I2about their respective axes (normal to the disc and passing through the centre), and rotating with angular speed ω1and ω2are brought into contact face to face with their axes of rotation coincident.Calculate the loss in kinetic energy of the system in the process.
ChemistryRotational MotionNEET
Options:
  • A $\frac{{{I}_{1}}{{I}_{2}}}{2\left( {{I}_{1}}+{{I}_{2}} \right)}{{\left( {{\omega }_{1}}+{{\omega }_{2}} \right)}^{2}}$
  • B $-\frac{{{I}_{1}}{{I}_{2}}}{2\left( {{I}_{1}}+{{I}_{2}} \right)}{{\left( {{\omega }_{1}}+{{\omega }_{2}} \right)}^{2}}$
  • C $-\frac{{{I}_{1}}{{I}_{2}}}{2\left( {{I}_{1}}+{{I}_{2}} \right)}{{\left( {{\omega }_{1}}-{{\omega }_{2}} \right)}^{2}}$
  • D $\frac{{{I}_{1}}{{I}_{2}}}{2\left( {{I}_{1}}+{{I}_{2}} \right)}{{\left( {{\omega }_{1}}-{{\omega }_{2}} \right)}^{2}}$
Solution:
1842 Upvotes Verified Answer
The correct answer is: $-\frac{{{I}_{1}}{{I}_{2}}}{2\left( {{I}_{1}}+{{I}_{2}} \right)}{{\left( {{\omega }_{1}}-{{\omega }_{2}} \right)}^{2}}$
Correct Option is : (C)
$-\frac{{{I}_{1}}{{I}_{2}}}{2\left( {{I}_{1}}+{{I}_{2}} \right)}{{\left( {{\omega }_{1}}-{{\omega }_{2}} \right)}^{2}}$

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