Planar Kinematics of a Rigid Body (PKRB) - General Questions

If the rim of the wheel and its hub maintain contact with the three stationary tracks as the wheel rolls, it is neccessary that slipping occurs at the hub A if no slipping occurs at B. Under these conditions, what is the speed at A if the wheel has an angular velocity ?

The automobile with wheels 2.5 ft in diameter is traveling in a straight path at a rate of 60 ft/s. If no slipping occurs, determine the angular velocity of one of the rear wheels and the velocity of the fastest moving point on the wheel.

Gear C is rotating with a constant angular velocity of _c = 3 rad/s. Determine the acceleration of the piston A and the angular acceleration of rod AB at the instant  = 90°. Set r_c = 0.2 ft and r_d = 0.3 ft.

Rod CD presses against AB, giving it an angular velocity. If the angular velocity of AB is maintained at  = 5 rad/s, determine the required speed v of CD for any angle  of rod AB.

The oil pumping unit consists of a walking beam AB, connecting rod BC, and crank CD. If the crank rotates at a constant rate of 6 rad/s, determine the speed of the rod hanger H at the instant shown.

The safe is transported on a platform which rests on rollers, each having a radius r. If the rollers do not slip, determine their angular velocity  if the safe moves forward with a velocity v.

Knowing the angular velocity of link CD is _CD = 4 rad/s, determine the angular velocities of links BC and AB at the instant shown.

The disk rolls without slipping such that it has an angular acceleration of  = 4 rad/s² and angular velocity of  = 2 rad/s at the instant shown. Determine the accelerations of points A and B on the link and the link's angular acceleration at this instant. Assume point A lies on the periphery of the disk, 150 mm from C.