Meriam, Kraige & Bolton — Introduction to Three-Dimensional Dynamics of Rigid Bodies: Problem 7_71

7/71 If the semicircular rod of Prob. 7/70 starts from rest under the action of a torque $M_O$ applied through the collar about its $z$-axis of rotation, determine the initial bending moment $M$ in the rod at $A$. (Referencing Prob 7/70: A semicircular rod of radius $r$ and mass $m$ rotates about the $z$-axis, which is tangent to the rod at the attachment point $O$. Point $A$ is at the crown of the arc. The effect of weight is neglected.)