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GATE Mechanical 2023 | Question: 28

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The figure shows a wheel rolling without slipping on a horizontal plane with angular velocity $\omega_1$. A rigid bar $\text{PQ}$ is pinned to the wheel at $\text{P}$ while the end $\text{Q}$ slides on the floor.

What is the angular velocity $\omega_2$ of the bar $\text{PQ}$?

  1. $\omega_2=2 \omega_1$
  2. $\omega_2=\omega_1$
  3. $\omega_2=0.5 \omega_1$
  4. $\omega_2=0.25 \omega_1$
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