The double pulley consists of two wheels which are attached to one another and turn at the same rate. The pulley has a mass of 15 kg and a radius of gyration of = 110 mm. if the block at A has a mass of 40 kg and the container at B has a mass of 85 kg, including its contents, determine the speed of the container when t = 3s after it is released from rest.

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

16-34. For a short time a motor of the random-orbit sander drives the gear A with an angular velocity of VA = 40(t3 + 6t) rad/s, where t is in seconds. This gear is connected to gear B, which is fixed connected to the shaft CD. The end of this shaft is connected to the eccentric spindle EF and pad P, which causes the pad to orbit around shaft CD at a radius of 15 mm. Determine the magnitudes of the velocity and the tangential and normal components of acceleration of the spindle EF when t = 2 s after starting from rest. B D 40 mm 10 mm A -15 mm -Ε F WA P

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 >

18–37. The spool has a mass of 20 kg and a radius of gyration of 200 mm ko = 160 mm. If the 15-kg block A is released from rest, determine the velocity of the block when it descends 600 mm. A

The uniform 80 kg slender rod is at rest in the position shown when P = 450 N is applied. Determine the value of angular velocity, w2 the rod if L1 = 5.5 m and L2 = 6.5 m. A L L2 L1 B

The 21-kg uniform thin hollow square plate is pinned at point O, and its side L = 0.5 m. If it is subjected to the constant moment M = 78 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. `L MV Your Answer: Answer

40 CHAPTER 2 FORCE VECTORS *2 *2-40. Solve Prob. 2-1 by summing the rectangular or x, y components of the forces to obtain the resultant force. 2- 2-41. Solve Prob. 2-22 by summing the rectangular or x, y components of the forces to obtain the resultant force. an po 2-42. Determine the magnitude and orientation, measured counterclockwise from the positive y axis, of the resultant force acting on the bracket, if FB = 600 N and 0 = 20°, y FB 30° FA = 700 N B Prob. 2-42

The system consists of a 19-lb disk A, a 4-lb slender rod BC, and a 3-lb smooth collar C. If the disk rolls without slipping, determine the velocity of the collar at the instant θ = 20°. The system is released from rest when θ = 48°.

17-73. Cable is unwound from a spool supported on small rollers at A and B by exerting a force T = 300 N on the cable. Compute the time needed to unravel 5 m of cable from the spool if the spool and cable have a total mass of 600 kg and a radius of gyration of ko = 1.2 m. For the calculation, neglect the mass of the cable being unwound and the mass of the rollers at A and B. The rollers turn with no friction. T = 300 N 15 m 0.8 m. 30° B.