A woman sits in a rigid position on her rocking chair by keeping her feet on the bottom rungs at B. At the instant shown, she has reached an extreme backward position and has zero angular velocity. Determine her forward angular acceleration _{} and the frictional force at A necessary to prevent the rocker from slipping. The woman and the rocker have a combined weight of 180 lb and a raduis of gyration about G of k_{G} = 2.2 ft.

The wheel has a weight of 30 lb, a radius of r = 0.5 ft, and a radius of gyration of k_{G} = 0.23 ft. If the coefficient if friction between the wheel and the plane is _{} = 0.2, determine the wheel's angular acceleration as it rolls down the incline. Set _{} = 12°.