21-62. The gyroscope consists of a uniform 450-g disk Dwhich is attached to the axle AB of negligible mass. Thesupporting frame has a mass of 180 g and a center of massat G. If the disk is rotating about the axle at wp = 90 rad/s,determine the constant angular velocity w, at which theframe precesses about the pivot point 0. The frame movesin the horizontal plane.80 mm20 mm25 mm25 mm35 mm

Gyroscopic couple balance the moment due to weight of disc Gyroscopic couple is given by Where I is…

Answered: 21-62. The gyroscope consists of a…

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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*21-76. The football has a mass of 450 g and radii of gyration about its axis of symmetry (z axis) and its transverse axes (x or y axis) of k. = 30 mm and k, = ky = 50 mm, respectively. If the football has an angular momentum of H, = 0.02 kg m/s, determine its precession o and spin i. Also, find the angle ß that the angular velocity vector makes with the z axis. HG = 0.02 kg - m²/s 45° A
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.
*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
The uniform 35-lb bar with attached 11-lb wheels is released from rest when = 64°. If the wheels roll without slipping on the horizontal and vertical surfaces, determine the magnitude of the angular velocity of the bar when 9 = 42°. Each wheel has a centroidal radius of gyration of 6.1 inches. A Answer: @= 8" 6.0' B rad/sec
*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-
The 10kg rod has a moment of inertia which is computed from Iç =ml². If it is rotating at w = 2, determine its kinetic energy () when it is computed about the mass center G. u-irade
SOLVE USING PRINCIPLE OF WORK AND ENERGY
The 45-kg reel has a radius of gyration about its center O of ko = 220 mm. If it is released from rest, determine the total external work done to it when its center O has traveled 6.6 m down the smooth inclined plane (with angle = 35°). Please pay attention: the numbers may change since they are randomized. Your answer must include 1 place after the decimal point, and proper SI unit. Take g = 9.81 m/s². 0.4 m 0.2 m²
The 3.8 kg block is descending at a rate of 1.2 m/s when the hydraulic cylinder BC exerts a force F=500 N on the brake arm. Determine the number of radians the wheel will rotate before the system comes to rest. The wheel has a mass of 25 kg and a radius of gyration about its center kO=300 mm. The coefficient of kinetic friction between the brake arm and the wheel is 0.25.
F19–4. Gears A and B of mass 10 kg and 50 kg have radii of gyration about their respective mass centers of kA = 80 mm and ks = 150 mm. If gear A is subjected to the couple moment M = 10 N-m when it is at rest, determine the angular velocity of gear B when t = 5 s. 0.2 m 0,1 m M = 10 N- m
The system is made up of the 1-m, 6.7-kg uniform rod AB and the two uniform disks (each of 0.10 m radius and 2.2 kg mass). If the system is released from rest when 0- 55", when rod AB has just become horizontal, determine the angular velocity of rod ABin rad/s. Assume the disks roll without slipping. Your answer must include 2 places after the decimal point. Please pay attention: the numbers may change since they are randomized. Take g= 9.81 m/s?. 1m
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

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