Compute the pitch angle of a bevel gear given the pinion’s number of teeth of 14 and 42 teeth on the gear.

A snowplow mounted on a truck clears a path 12 ft through heavy wet snow, as shown in Figure P5.80. The snow is 8 in. deep and its density is 10 lbm/ft3. The truck travels at 30 mph. The snow is discharged from the plow at an angle of 45° from the direction of travel and 45° above the horizontal, as shown in Figure P5.80. Estimate the force required to push the plow.

In a CD player, a CD rotates from rest up to angular speed of   in a time interval, . It is necessary to calculate:

1. What is the angular acceleration of the disc, assuming the angular acceleration is uniform?

1. The angular displacement and the number of revolutions  done by the CD while coming up to speed?

1. If the radius of the disc is , what are the magnitudes of tangential speed and acceleration of a dust particle placed on the rim of the disc when

A horizontal pipe CD freely rotates about an axis AB. A small ball with mass m is

initially put inside the pipe at M (MC = a). Given the pipe an initial rotation rate of coo.

determine when the ball reaches the exit D (1) the small ball's rotation rate, ∞, and (2) the

force the pipe acting on the ball at D. Free-body diagram is required.