The nose$-$wheel assembly is raised by the application of a torque M to link B C through the shaft at B$.$ If the arm and wheel A O have a combined weight of $110$ lb with center of gravity at G $,$ find the value of M necessary to lift the wheel when D is directly under B$,$ at which position angle theta is $27$ degrees. The moment is positive if counterclockwise, negative if clockwise. Use Picture.