Q2 The constant tensions of 200 N and 160 N are ap- plied to the hoisting cable as shown. If the velocity v of the load is 2 m/s down and the angulár velocity w of the pulley is 8 rad/s counterclockwise at time t 0, determine v and w after the cable tensions have been applied for 5 s. Note the independence of the results. 200 N 160 N 300 mm 15 kg T = 250 mm 20 kg

P= 900 N 4) The uniform 40 kg slender rod is being pulled by a cable that passes over the small smooth peg at A, and a vertical force F is applied at the edge 0.8 m as shown. If the rod has an angular velocity of w=6 rad/s 6 rad/s at the instant, determine the tangential and normal components of reaction forces at the F=150 N pin 0, and the angular acceleration of the rod. tosmt 0.6 m 0.3 m

When in the mode of adsorbing, the vertical shaft is rotating with an angular velocity of 3 rad/s at 0 = 0°. When picking up trashes, a force F needs to be applied to the collar so that 0 = 90°. Help students determine the angular velocity of the shaft at 0 = 90°. Also, find the work done by force F from 0 = 0° to 0 = 90°. Neglect the mass of rods GH and EF and the collars I and J. The rods AB and CD each have a mass of 10 kg. 0.3 m E 0.3 m 0.1 m 0.3 m A 0.1 m H F 0 0.3 m B

For the circular thin plate with a square hole as shown in the image below, its radius R = 0.48 m and the side of the square /= 0.21 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 = 38 N, and has a counterclockwise angular velocity of W = 2.6 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/s?. R P

)= The disk with radius r is rolling (without slipping) with angular velocity @ through the bottom of the circular path of radius R. If @= 2 rad/sec, R = 0.5 m, r = 0.2 m, and the mass of the disk is 3 kg, calculate the magnitude of the normal force exerted by the path on the disk at that instant. Present your answer in Newtons using 3 significant figures. wwwww

The 23-kg uniform thin hollow square plate is pinned at point O, and its side L = 0.3 m. If it is subjected to the constant moment M = 82 N·m and is released from rest from the position as shown, determine its angular velocity W (in rad/s) when it has rotated 45 Please pay attention: the numbers may change since they are randomized. Your answer must include 2 places after the decimal point. Take g = 9.81 m/s². M Your Answer: Answer

6/3 The driver of a pickup truck accelerates from rest to a speed of 72 km/h over a horizontal distance of 65 m with constant acceleration. The truck is hauling an empty 225-kg trailer with a uniform 27-kg gate hinged at O and held in the slightly tilted position by two pegs, one on each side of the trailer frame at A. Determine the maximum shearing force developed in each of the two pegs during the acceleration. 3° 1200 mm 250 mm Problem 6/3

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

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4- Three forces F1, F2, F3 affect a body F2 with a mass of 4 kg, as shown in the figure. If F1 = 10N, F2=15N,F3=20N calculate the acceleration with which the body will move,, and determine the direction of the acceleration. E 30° 7F3 F1