Meriam, Kraige & Bolton — Plane Kinetics of Rigid Bodies: Problem 6_171

6/171 The nose-wheel assembly is raised by the application of a torque $M$ to link $BC$ through the shaft at $B$. The arm and wheel $AO$ have a combined weight of $100\text{ lb}$ with center of mass at $G$, and a centroidal radius of gyration of $14\text{ in.}$ If the angle $\theta = 30^\circ$, determine the torque $M$ necessary to rotate link $AO$ with a counterclockwise angular velocity of $10\text{ deg/sec}$, which is increasing at the rate of $5\text{ deg/sec}$ every second. Additionally, determine the total force supported by the pin at $A$. The mass of links $BC$ and $CD$ may be neglected for this analysis.