Meriam, Kraige & Bolton — Introduction to Three-Dimensional Dynamics of Rigid Bodies: Problem 7_6

7/6 The rotor B spins about its inclined axis OA at the angular speed \( N_1 = 200 \text{ rev/min} \), where \( \beta = 30^\circ \). Simultaneously, the assembly rotates about the vertical \( z \)-axis at the rate \( N_2 \). If the total angular velocity of the rotor has a magnitude of \( 40 \text{ rad/s} \), determine \( N_2 \).