A block (\(P\)) is rotating in contact with the vertical wall of a rotor as shown in figures A, B, C. The relation between angular velocities \( \omega_A, \omega_B, \omega_C \) so that the block does not slide down. (Given: \( R_A < R_B < R_C \), where \( R \) denotes radius)
An inductor and a resistor are connected in series to an AC source of voltage \( 144\sin(100\pi t + \frac{\pi}{2}) \) volts. If the current in the circuit is \( 6\sin(100\pi t + \frac{\pi}{2}) \) amperes, then the resistance of the resistor is: