Meriam, Kraige & Bolton — Introduction to Three-Dimensional Dynamics of Rigid Bodies: Problem 7_97

7/97 If the wheel in case (a) of Prob. 7/96 is forced to precess about the vertical by a mechanical drive at the steady rate \(\Omega = 2\mathbf{j}\) rad/s, determine the bending moment in the horizontal shaft at A. In the absence of friction, what torque \(M_O\) is applied to the collar at O to sustain this motion? [Data from Prob. 7/96(a)]: - Mass of wheel: \(m = 4 \text{ kg}\) - Radius of gyration about its spin axis: \(k_z = 120 \text{ mm} = 0.12 \text{ m}\) - Spin velocity: \(p = 3600 \text{ rev/min}\) - Distance from center \(O\) to wheel center \(B\): \(L = 400 \text{ mm} = 0.4 \text{ m}\) - Point \(A\) is on the shaft at a distance \(d = 80 \text{ mm} = 0.08 \text{ m}\) from \(O\).