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Physics · SYSTEMS OF PARTICLES AND ROTATIONAL MOTION
हिन्दीRefer to the given figure showing a rigid body rotating about the fixed \( z \)-axis. If particle \( P_1 \) moves in a circle of radius \( r_1 \) in plane \( C_1 \) and particle \( P_2 \) moves in a circle of radius \( r_2 \) in plane \( C_2 \) (\( r_2 > r_1 \)), with particle \( P_3 \) lying directly on the rotation axis, which of the following relations is correct regarding their linear speeds \( v_1, v_2, v_3 \) and angular velocities \( \omega_1, \omega_2, \omega_3 \)?
Correct answer · Option 2
\( \omega_1 = \omega_2 \), \( v_2 > v_1 \), and \( v_3 = 0 \)
Explanation
In rigid body rotation about a fixed axis, all particles have the same angular velocity \( \omega \). The linear speed is \( v = \omega r \); since \( r_2 > r_1 \), \( v_2 > v_1 \). For a point on the axis, \( r = 0 \implies v_3 = 0 \).
