A rod AB of length L revolves in a horizontal plane about the axis YY’ with an angular…

Physics · JEE Advanced · NTA ExamsRotational Motion

A rod AB of length L revolves in a horizontal plane about the axis YY’ with an angular velocity \(\boldsymbol{\omega}\). If A is area of cross-section of rod and \(\rho\)is its density, its kinetic energy is
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  1. \(\frac{1}{3} \mathrm{AL} \omega^{2} \rho\)
  2. \(\frac{1}{2} \mathrm{AL}^{2} \omega^{2} \rho\)
  3. \(\frac{1}{24} \mathrm{AL}^{3} \omega^{2} \rho\)
  4. none of these

Answer

(C) 1 24 AL ^ 3 ^ 2

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