The reel of cable has a mass of 350 kg and a radius of gyration of k₁ = 0.75 m. The force P = (20t² + 80) N, where t is in seconds. Neglect the mass of the unwound cable, and assume it is always at a radius of 0.5 m. (Figure 1) Figure Part A 0.5 m 1 m Determine the magnitude of the angular velocity of the reel when t = 2 s, starting from rest. Express your answer in radians per second to three significant figures. 1 of 1

The circular concrete culvert rolls with an angular velocity of w = 0.5 rad/s when the man is at the position shown in (Figure 1). At this instant the center of gravity of the culvert and the man is located at point G, and the radius of gyration about G is kg = 3.5 ft. Figure 4 ft 0.5 ft 1 of 1 > Part A Determine the angular acceleration of the culvert. The combined weight of the culvert and the man is 500 lb. Assume that the culvert rolls without slipping, and the man does not move within the culvert. Express your answer in radians per second squared to three significant figures. α = IVE | ΑΣΦ | 11 Submit Request Answer < Return to Assignment vec ^ Provide Feedback ? rad/s²

The rod AB has a mass of 36 kg and a length of 1.9m. The spring is unstretched when 0- 45°. The spring constant k is 226 N/m. B Find the angular velocity of rod AB at 0 - 0. if the rod is released from rest when 0. 45°. Give your answer with 2 decimals.

The telephone-cable reel rolls without slipping on the horizontal surface. If point A on the cable has a velocity VA = 0.70 m/s to the right, compute the velocity of the center O (positive if to the right, negative if to the left) and the angular velocity w (positive if counterclockwise, negative if clockwise) of the reel. 1.72 m A Answers: Vo = W= 0.60 m 1.075 i 1.25 m/s rad/s

The gear is pinned at A and has a mass of 0.3 kg and a radius of gyration of k = 25 mm. The gear rack has a mass of 0.5 kg. (Figure 1) Figure Part A W VE| ΑΣΦ | 4t | vec 8.11 Submit 50 mm If the spring has a stiffness k = 40 N/m and is stretched 50 mm and released from rest, determine the angular velocity of the gear at the instant the spring compresses 20 mm. Neglect friction. Express your answer in radians per second to three significant figures. im Previous Answers Request Answer SMD M-d ? 1 of 1 rad/s

The telephone-cable reel rolls without slipping on the horizontal surface. If point A on the cable has a velocity VÀ = 0.84 m/s to the right, compute the velocity of the center O (positive if to the right, negative if to the left) and the angular velocity w (positive if counterclockwise, negative if clockwise) of the reel. Answers: Vo = W = 1.91 m 4 0.69 m 1.315 i 1.376 Ho m/s VA rad/s

2. Consider the 5-1lb bar with length of 2½ feet and width of 2 inches. Small frictionless bearings are mounted to the ends, constraining the motion of the bar to the horizontal x and y slots. The bar starts at rest at positioned at 0= 45°. If an angular acceleration of 3 rad/s² is desired, what moment M must be applied to the bar? What are the reaction forces at A and B at that instant? Additional question: Does the width of the bar matter, or is it appropriate to consider the bar as a slender rod? Consider errors of less than 2% negligible.

Q2. Determine the bearing reactions at A and B for the system shown in the figure if the speed is 300 rev/min (cew). Determine the mapnitude and the angular orientation of the balancing mas sif it is loaacated at a radius of 70 mm. 800 200 m1 R1 15° R Тв A m2 m2 75° R3\ m3 m3 Figure 2. Rotating Shaft R1=30 mm, R2=50 mm, R3=55 mm, ml=2 kg, m2=1 kg, m3=3 kg.

The rod OA rotates clockwise at a constant angular velocity of 0 = (3) rad -. Two pin-connected slider block, located at B, move freely on OA. The curved rod is described by the equationr = (250 · (8 - cos 0)) m. Hint: 1. Remember clockwise rotation is negative velocity. A d3 d1 d2 Values for the figure are given in the following table. Note the figure may not be to scale. Variable Value 01 130 degrees di 0.45 m d2 dz 0.2 m 0.325 m Using cylindrical components, a. Determine the cylinders's radial and transverse components of velocity at the instant shown, vr and b. Determine the cylinders's radial and transverse components of acceleration at the instant shown, a, and ag. c. Determine the cylinder's magnitude of the velocity at the instant shown, v d. Determine the cylinder's magnitude of the acceleration at the instant shown, a

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