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

A drum with a radius of 0.5 ft has a weight of 90 lb and a radius of gyration ko = 0.3 ft. A weightless cable is wrapped around the drum and rotates it clockwise. If the cable is being pulled by a force P = 15 lb, determine the time needed to increase the drum's angular velocity from w1 = 6 rad/s to wz = 24 rad/s. 0.5 ft

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.

if mass (m)=345kg  radius of gyration kG = 0.54 m θ= 200 degree  1) assuming no slipping and when starting from horizontal cable (θ = 0o) the spool moves to the left- determine the minimum tension in the cable (Tmin) that causes the spool to slip. Assumeμk = 0.4 and μs = 0.5.

The strings AB and AC connect 500-g mass A to the vertical shaft BC. When the shaft rotates with a constant angular velocity of 15 rad/s, the ball has circular motion in the horizontal plane with the strings having angles of a = 55° shown in the figure. Find the tension forces at the strings AB and AC. 500g A uui 00t 00 mm

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 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

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

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.