21-59. The thin rod has a mass of 0.8 kg and a total length of 150 mm. It is rotating about its midpoint at a constant rate é = 6 rad/s, while the table to which its axle A is fastened is rotating at 2 rad/s. Determine the x, y, z moment components which the axle exerts on the rod when the rod is in any position 0. 2 rad/s

For the circular thin plate with a square hole as shown in the image below, its radius R = 0.32 m and the side of the square /= 0.18 m, and the material has a mass per unit area of 12 kg/m². If at the instant shown, it is subjected to a force P = 30 N, and has a counterclockwise angular velocity of W = 4.2 rad/s, determine magnitude of the support reaction at point O at this instant. Please pay attention: the numbers may change since they are randomized. Your answer must include 2 places after the decimal point, and proper unit. Take g = 9.81 m/s². R @ Your Answer: Answer units P

The 10kg rod has a moment of inertia which is computed from Iç =ml². If it is rotating at w = 2, determine its kinetic energy () when it is computed about the mass center G. u-irade

The 45-kg reel has a radius of gyration about its center O of ko = 220 mm. If it is released from rest, determine the total external work done to it when its center O has traveled 6.6 m down the smooth inclined plane (with angle = 35°). Please pay attention: the numbers may change since they are randomized. Your answer must include 1 place after the decimal point, and proper SI unit. Take g = 9.81 m/s². 0.4 m 0.2 m²

19–33. The 80-kg man is holding two dumbbells while standing on a turntable of negligible mass, which turns freely about a vertical axis. When his arms are fully extended, the turntable is rotating with an angular velocity of 0.5 rev/s. Determine the angular velocity of the man when he retracts his arms to the position shown. When his arms are fully extended, approximate each arm as a uniform 6-kg rod having a length of 650 mm, and his body as a 68-kg solid cylinder of 400-mm diameter. With his arms in the retracted position, assume the man is an 80-kg solid cylinder of 450-mm diameter. Each dumbbell consists of two 5-kg spheres of negligible size. -0.20 m 0.65 m 0.3 m H0.3 m Prob. 19–33

At the instant shown, link CD rotates with an angular velocity of W = 9.0 rad/s. If it is subjected to a couple moment M= 320 N-m, determine the magnitude of the vertical reaction force developed on pin D. The block has a mass of 50 kg and center of mass at G. Neglect the mass of links AB and CD. (Hint, since the mass of link AB or CD is negligible, the external force or moment acting on it sums up to 0.) Please pay attention: the numbers may change since they are randomized. Your answer must include 1 place after the decimal point, and proper unit. Take g = 9.81 m/s². 0.1 m 0.6 m В А 0.4 m' G 0.4 m D C M Your Answer: Answer units

The pavement compactor is traveling down the incline at VG = 5 ft/s when the motor is disengaged. The body of the compactor, excluding the rollers, has a weight of 8000 lb and a center of gravity at G. Each of the two rear rollers weighs 400 lb and has a radius of gyration of KA = 3.3 ft. The front roller has a weight of 800 lb and a radius of gyration of kg = 1.8 ft. The rollers do not slip as they rotate. (Figure 1) Figure 3.8 ft 5 ft A GT 10 ft 1 of 1 30 730 ▼ Part A Determine the angular velocity of the roller B when the compactor has traveled 16 ft down the plane. Express your answer in radians per second to three significant figures. WB = Submit IVE ΑΣΦ | Η Provide Feedback Request Answer P Pearson vec ? rad/s Next >

The bus is driven from the flywheel having inertia J = 20 kgm2. How long distance can pass the bus from the energy stored in the flywheel if its angular velocity is ω = 1800 rad/s and the power needed for bus moving with speed v = 30 km/h is 60 kW?.

21-50. The bent uniform rod ACD has a weight of 5 lb/ft and is supported at A by a pin and at B by a cord. If the vertical shaft rotates with a constant angular velocity w = 20 rad/s, determine the x, y, z components of force and moment developed at A and the tension in the cord. -1 t- -0.5 ft- |B 1 ft