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 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
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 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
R19-4. The wheel having a mass of 100 kg and a radius of gyration about the z axis of k, = 300 mm, rests on the smooth horizontal plane. If the belt is subjected to a force of P = 200 N, determine the angular velocity of the wheel and the speed of its center of mass 0, three seconds after the force is applied. 400 mm P = 200 N
*19-52. The wheel has a mass of 50 kg and a radius of gyration of 125 mm about its center of mass G. Determine the minimum value of the angular velocity w, of the wheel, so that it strikes the step at A without rebounding and then rolls over it without slipping. 150 mm 125 mm

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