PKRB: Force and Animation - General Questions

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°.

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.

If the support at B is suddenly removed, determine the initial reactions at the pin A. The plate has a weight of 30 lb.

A cord wrapped around the inner core of a spool. If the cord is pulled with a constant tension of 30 lb and the spool is originally at rest, determine the spool's angular Velocity when s = 8 ft of cord have unraveled. Neglect the weight of the cord. The spool and cord have a total weight of 400 lb and the radius of gyration about the axle A is k_A = 1.30 ft.

Bar AB has a weight of 10 lb and is fixed to the carriage at A. Determine the internal axial force A_y, shear force V, and moment M_A at A if the carriage is descending the plane with an acceleration of 4 ft/s².

The 15-lb rod is pinned and has an angular velocity of  = 5 rad/s when it is in the horizontal position shown. Determine the rod's angular acceleration and the pin reactions at this instant.

If the cable CB is horizontal and the beam is at rest in the position shown, determine the tension in the cable at the instant the towing force F = 1500 N is applied. The coefficient of friction between the beam and the floor at A is _A = 0.3. For the calculation, assume that the beam is a uniform slender rod having a mass of 100 kg.

The 10-kg block rests on the platform for which  = 0.4. If at the instant shown link AB has an angular velocity  = 2 rad/s, determine the greatest angular acceleration of the link so that the block doesn't slip.