Meriam, Kraige & Bolton — Introduction to Three-Dimensional Dynamics of Rigid Bodies: Problem 7_102

7/102 The 8-lb rotor with radius of gyration of 3 in. rotates on ball bearings at a speed of 3000 rev/min about its shaft OG. The shaft is free to pivot about the X-axis, as well as to rotate about the Z-axis. Calculate the vector $\vec{\Omega}$ for precession about the Z-axis. Neglect the mass of shaft OG and compute the gyroscopic couple $\vec{M}$ exerted by the shaft on the rotor at G.