The 14.6-lb lever OA with 9.6-in. radius of gyration about O is initially at rest in the vertical position (8= 90°) where the attached spring of stiffness k = 4.3 lb/in. is unstretched. Calculate the constant moment M applied to the lever through its shaft at O which will give the lever an angular velocity w = 5.9 rad/sec as the lever reaches the horizontal position 0 = 0. k= 4.3 lb/in, 13.6". 7.6" 13.6"

Consider the wheel shown below with radius R, mass m, and radius of gyration ko¹ The wheel rolls without slipping under the action of a clockwise torque M. At the instant shown the spring with spring constant ks is unstretched. Derive an expression for the velocity of the wheel center of mass G after the center of mass has moved a distance d. (Hint: Use rigid body work-energy principles. The work done to the system by the applied moment is McA0 and A0 can be related to the distace d by the no-slip condition.) Us G R M м, ко ////