18-6. A force of P=20 N is applied to the cable, which causes the 175-kg reel to turn without slipping on the two rollers A and B of the dispenser. Determine the angular velocity of the reel after it has made two revolutions starting from rest. Neglect the mass of the cable. Each roller can be considered as an 18-kg cylinder, having a radius of 0.1 m. The radius of gyration of the reel about its center axis is kg=0.42 m. 307 250 mm OG 500 mm 400 mm-

The cable drum has a mass of 610 kg with radius of gyration of 385 mm about its center O and is mounted in bearings on the 1325-kg carriage. The carriage is initially moving to the left with a speed of 1.8 m/s, and the drum is rotating counterclockwise with an angular velocity of 2.0 rad/s when a constant horizontal tension T = 345 N is applied to the cable at time t = 0. Determine the velocity v of the carriage and the angular velocity w of the drum when t = 20 s. Neglect the mass of the carriage wheels. The velocity v is positive if to the right, negative if to the left. The angular velocity is positive if counterclockwise, negative if clockwise. %3D %3D T = 345 N 610 kg 415 mm 1325 kg

lb ft The wheel shown has a weight of 30 lb and a radius of gyration of kg = 0.6 ft. It is attached to a spring which has a stiffness k = 2. and an unstretched length of 1 ft. If the disk is released from rest in the position shown and rolls without slipping, determine its angular velocity at the instant G moves 3 ft to the left. 4 ft Sommi k = 2 lb/ft -3 ft 0.75 ft

If P = 30 lb, determine the angular acceleration of the 50-lb roller. Assume the roller to be a uniform cylinder and that no slipping occurs