21-25. The large gear has a mass of 5 kg and a radius ofgyration of k, = 75 mm. Gears B and C each have a mass of200 g and a radius of gyration about the axis of their connectingshaft of 15 mm. If the gears are in mesh and C has an angularvelocity of w, = {15j} rad/s, determine the total angularmomentum for the system of three gears about point A.40 mmB40 mmwc = [15j) rad/s45°100 mm

Given: The mass of gear A is m=5 kg. The radius of gyration for gear A is kz=75 mm=0.075 m. The…

Answered: 21-25. The large gear has a mass of 5…

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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At the instant shown, the uniform slender rod with mass m = 32 kg is pin-supported at point O. It is subjected to a counterclockwise moment M = 65 N•m, has a counterclockwise angular velocity of W= 5.8 rad/s, and the dimensions a = 0.23 m and b = 0.69 m. Determine angular acceleration of the rod (in rad/s²) at this instant. Please pay attention: the numbers may change since they are randomized. Your answer must include 2 places after the decimal point. Negative sign must be included if the angular acceleration is clockwise. Take g = 9.81 m/s². a Your Answer: Answer M b
At the instant shown, the uniform slender rod with mass m = 35 kg is pin-supported at point O. It is subjected to a counterclockwise moment M = 66 N•m, has a counterclockwise angular velocity of W= 5.1 rad/s, and the dimensions a = 0.19 m and b = 0.58 m. Determine angular acceleration of the rod (in rad/s2) at this instant. Please pay attention: the numbers may change since they are randomized. Your answer must include 2 places after the decimal point. Negative sign must be included if the angular acceleration is clockwise. Take g = 9.81 m/s2. O. · M Your Answer: Answer
The circular disk of mass m and radius r, is rolling through the bottom of the circular path of radius R. If the disk has an angular velocity determine the force N exerted by the path on the disk.
The differential pinion meshes on the two racks. If these move with the velocities shown, determine the angular velocity of the pinion and the velocity of its center C. 0.6 m/s 0.8 m/s 90 mm 150 mm
At the instant shown, the uniform slender rod with mass m = 31 kg is pin-supported at point O. It is subjected to a counterclockwise moment M = 68 N•m, has a counterclockwise angular velocity of W= 5.3 rad/s, and the dimensions a = 0.10 m and b = 0.65 m. 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. a M
The 2.5-kgkg rod ACBACB supports the two 4.1-kgkg disks at its ends. If both disks are given a clockwise angular velocity (ωA)1=(ωB)1=4.6rad/s(ωA)1=(ωB)1=4.6rad/s while the rod is held stationary and then released, determine the angular velocity of the rod after both disks have stopped spinning relative to the rod due to frictional resistance at the pins AA and BB. Motion is in the horizontal plane. Neglect friction at pin CC.
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
Pravinbhai
The circular concrete culvert rolls with an angular velocity of w=0.58 rad/s when the man is at the position shown. 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 = 3.2 ft. (Figure 1) 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 to three significant figures and include the appropriate units. α= Submit μA Value Provide Feedback Request Answer Units ***** ? Next >
20-15. Gear C is driven by shaft DE, while gear B spins freely about its axle GF, which precesses freely about shaft DE. If gear A is driven with a constant angular velocity of WA = 5 rad/s and shaft DE rotates with a constant angular velocity of @DE = 10 rad/s, determine the angular velocity of gear B. B G 150 mm Z D E F WA C A 150 mm Prob. 20-15 150 mm @DE = 10 rad/s -y
7/121 The 5-kg disk and hub A have a radius of gyration of 85 mm about the zo-axis and spin at the rate 1250 rev/min. Simultaneously, the assem- bly rotates about the vertical z-axis at the rate 2 = 400 rev/min. Calculate the gyroscopic mo- ment M exerted on the shaft at C by the disk and the bending moment Mo in the shaft at O. Neglect the mass of the shaft but otherwise account for all forces acting on it. 300 mm A 2001 --y 100 mm Problem 7/121

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