Your design requires the piston P to move upward with a velocity of 300 in/sec at the instant shown. Determine the angular velocity of the crankshaft AB at this instant. 5 in. 30 1.45 in.

12. The gear A on the drive shaft of the outboard motor has a radius r = 0.5 in. and the meshed pinion gear B on the propeller shaft has a radius r = 1.2 in. . (a) Determine the angular velocity of the propeller in t = 1.5 s, if the drive shaft rotates with an angular acceleration ,a = (400t³) rad/s², where t is in seconds. The propeller is originally at rest and the motor frame does not move. (b) Determine the magnitude of the velocity and acceleration of point P located on the tip of the propeller at the instant. t = 0.75 s 2.20 in.

H.W Example: A 300 mm wide strip 25 mm thick is fed through a rolling mill with two powered rolls each of radius = 250 mm. The work thickness is to be reduced to 22 mm in one pass at a roll speed of 50 rev/min. The work material has a flow curve defined by K = 275 MPa and n = 0.15, and the coefficient of friction between the rolls and the work is assumed to be 0.12. Determine if the friction is sufficient to permit the rolling operation to be accomplished. If so, calculate the roll force, torque, and horsepower.