Meriam, Kraige & Bolton — Introduction to Three-Dimensional Dynamics of Rigid Bodies: Problem 7_128

7/128 Calculate the bending moment \( M \) in the shaft at \( O \) for the rotating assembly of Prob. 7/127 as it starts from rest with an initial angular acceleration of \( 200 \text{ rad/s}^2 \). [Note from referenced Prob. 7/127: Each of the quarter-circular plates has a mass of \( 2 \text{ kg} \), radius \( r = 150 \text{ mm} \), and they are secured to the vertical shaft at heights of \( 75 \text{ mm} \) and \( 150 \text{ mm} \) above the bearing at \( O \). The plates are positioned \( 180^\circ \) apart around the shaft.]