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AP EAMCET · PHYSICS · Motion In Two Dimensions

A block \((P)\) is rotating in contact with the vertical wall of a rotor as shown in figures \(\mathrm{A}, \mathrm{B}, \mathrm{C}\). The relation between angular velocities \(\omega_A, \omega_B\) and \(\omega_C\) so that block does not slide down.
\(\left(R_A \lt R_B \lt R_C \text { radii }\right)\)

  1. A \(\omega_A \lt \omega_B \lt \omega_C\)
  2. B \(\omega_A=\omega_B=\omega_C\)
  3. C \(\omega_C \lt \omega_B \lt \omega_A\)
  4. D \(\omega_C=\omega_A+\omega_B\)
Verified Solution

Answer & Solution

Correct Answer

(C) \(\omega_C \lt \omega_B \lt \omega_A\)

Step-by-step Solution

Detailed explanation

For the block P, \(\begin{aligned} & N=m \omega_A^2 R_A=m \omega_B^2 R_B=m \omega_C^2 R_C \\ & \Rightarrow R_A: R_B: R_C=\frac{1}{\omega_A^2}: \frac{1}{\omega_B^2}: \frac{1}{\omega_C^2} \end{aligned}\) As,…
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