18-9. The disk, which has a mass of 20 kg, is subjected tothe couple moment of M = (20 + 4) N• m, where e is inradians. If it starts from rest, determine its angular velocitywhen it has made two revolutions.300 mmм

Given data: Mass of the disk, m = 20 kg. Moment acting on the disk, M = (2Ɵ+4) N·m. The radius of…

Answered: 18-9. The disk, which has a mass of 20…

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

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18–31. The linkage consists of two 6-kg rods AB and CD and a 20-kg bar BD.When 0 = 0°, rod AB is rotating with an angular velocity w = 2 rad/s. If rod CD is subjected to a couple moment of M = 30 N-m, determine wAB at the instant 6 = 90°. 1.5 m M = 30 N- m
18-37 The spool has a mass of 20 kg and a radius of gyration of = 160 mm. if the 15 kg block A is released from rest, determine the velocity of the block when it descends 600 mm.
= 18-57. A spring having a stiffness of k 300 N/m is attached to the end of the 15-kg rod, and it is unstretched when 0 = 0°. If the rod is released from rest when 0 = 0°, determine its angular velocity at the instant 0 = 30°. The motion is in the vertical plane. k = 300 N/m 0 0.6 m Prob. 18-57 B
18-17. The center O of the thin ring of mass m is given an angular velocity of wn. If the ring rolls without slipping. determine its angular velocity after it has traveled a distance of s down the plane. Neglect its thickness.
19-10. The 30-kg gear A has a radius of gyration about its center of mass O of ko = 125 mm. If the 20-kg gear rack B is subjected to a force of P = 200 N, determine the time required for the gear to obtain an angular velocity of 20 rad/s, starting from rest. The contact surface between the gear rack and the horizontal plane is smooth. 0.15 m rtinn P = 200 N
21-57. The blades of a wind turbine spin about the shaft S with a constant angular speed of w, while the frame precesses about the vertical axis with a constant angular speed of wp. Determine the x, y, and z components of moment that the shaft exerts on the blades as a function of 0. Consider each blade as a slender rod of mass m and length I.
21-26. The circular disk has a weight of 15 lb and is mounted on the shaft AB at an angle of 45° with the horizontal. Determine the angular velocity of the shaft when t = 3 s if a constant torque M = 2 lb ft is applied to the shaft. The shaft is originally spinning at w, = 8 rad/s when the torque is applied. 0.8 ft 45° w = 8 rad/s M.
20-23. The differential of an automobile allows the two rear wheels to rotate at different speeds when the automobile travels along a curve. For operation, the rear axles are attached to the wheels at one end and have beveled gears A and B on their other ends. The differential case D is placed over the left axle but can rotate about C independent of the axle. The case supports a pinion gear E on a shaft, which meshes with gears A and B. Finally, a ring gear G is fixed to the differential case so that the case rotates with the ring gear when the latter is driven by the drive pinion H. This gear, like the differential case, is free to rotate about the left wheel axle. If the drive pinion is turning at wy = 100 rad/s and the pinion gear E is spinning about its shaft at we = 30 rad/s, determine the angular velocity, wa and Wp, of each axle. %3D From motor 50 mm- WE 40 mm- 180 mm 60 mm To left. To right wheel wheel
*17-68. The device acts as a pop-up barrier to prevent the passage of a vehicle. It consists of a 100-kg steel plate AC and a 200-kg counterweight solid concrete block located as shown. Determine the moment of inertia of the plate and block about the hinged axis through A. Neglect the mass of the supporting arms AB.Also, determine the initial angular acceleration of the assembly when it is released from rest at e = 45°. 0.3 m 0.5 m 0.5 m 1.25 m
*18-4. A force of P = 60 N is applied to the cable, which causes the 200-kg reel to turn since it is resting on the two rollers A and B of the dispenser. Determine the angular velocity of the reel after it has made two revolutions starting from rest. Neglect the mass of the rollers and the mass of the cable. Assume the radius of gyration of the reel about its center axis remains constant at ko=0.6 m. OG0.75 m '1 m во -0.6 m-
19-15. If the boxer hits the 75-kg punching bag with an impulse of I = 20N-s, determine the angular velocity of the bag immediately after it has been hit. Also, find the location d of point B, about which the bag appears to rotate. Treat the bag as a uniform cylinder. I = 20 N. S 1 m 1 m B A ¹0.5 m Prob. 19-15 1.5 m
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

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18-9. The disk, which has a mass of 20 kg, is subjected to the couple moment of M = (20 + 4) N• m, where e is in radians. If it starts from rest, determine its angular velocity when it has made two revolutions. 300 mm м