Meriam, Kraige & Bolton — Introduction to Three-Dimensional Dynamics of Rigid Bodies: Problem 7_12

7/12 The spool A rotates about its axis with an angular velocity of 20 rad/s, first in the sense of \(\omega_a\) and second in the sense of \(\omega_b\). Simultaneously, the assembly rotates about the vertical axis with an angular velocity \(\omega_1 = 10 \text{ rad/s}\). Determine the magnitude \(\omega\) of the total angular velocity of the spool and construct the body and space cones for the spool for each case.