21-71. The space capsule has a mass of 2 Mg, center ofmass at G, and radii of gyration about its axis of symmetry(z axis) and its transverse axes (x or y axis) of k; = 2.75 mand k, = k, = 5.5 m, respectively. If the capsule has theangular velocity shown, determine its precession o andspin i. Indicate whether the precession is regular or retrograde.Also, draw the space cone and body cone for the motion.30%w = 150 rad/s

Write the expression of the moment of inertia of the space capsule in the x-direction. Write the…

Answered: 21-71. The space capsule has a mass of…

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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*21-40. Derive the scalar form of the rotational equation of motion about the x axis if N + w and the moments and products of inertia of the body are not constant with respect to time.
The platform AB when empty has a mass of 400 kg centre of mass at G1 and natural period of oscillation t1=3.82 s. If a car, having a mass of 1.2 Mg and centre of mass at G2 is placed on the platform, the natural period of oscillation becomes t1=4.58 s. Determine the moment of inertia of the car about an axis passing through G2.
This is a dynamics question. Answer: v = 7.09 ft/s
21-69. The top has a mass of 90 g, a center of mass at G, and a radius of gyration k = 18 mm about its axis of symmetry. About any transverse axis acting through point O the radius of gyration is k, = 35 mm. If the top is connected to a ball-and-socket joint at O and the precession is w, = 0.5 rad/s, determine the spin w,. 60 mm
The 213-kg wheel has a radius of gyration about its center O of ko = 240 mm, and radius r = 0.4 m. When the wheel is subjected to the constant couple moment M = 85 N·m, it starts rolling from rest. Determine the wheel's angular velocity W (in rad/s) after 4.4 seconds if the wheel has been rolling without slipping. 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. M Your Answer: Answer
This is a dynamics problem. One Answer: P = 579 N
21-78. The radius of gyration about an axis passing through the axis of symmetry of the 1.2-Mg satellite is k = 1.4 m, and about any transverse axis passing through the center of mass G, k, = 2.20 m. If the satellite has a known spin of 2700 rev/h about the z axis, determine the steady-state precession about the z axis. 15°
*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
Specifically a dynamics problem. Question in pic below. Answer: omega = 20.35 rad/s
The circular disk of 270-mm radius has a mass of 36 kg with centroidal radius of gyration k = 235 mm and has a concentric circular groove of 105-mm radius cut into it. A steady force T is applied at an angle to a cord wrapped around the groove as shown. If T = 59N, 0 = 29°, μs = 0.08, and μk = 0.07, determine the angular acceleration a of the disk, the acceleration a of its mass center G, and the friction force F which the surface exerts on the disk. The angular acceleration a is positive if counterclockwise, negative if clockwise; the acceleration a is positive if to the right, negative if to the left; and the friction force F is positive if to the right, negative if to the left. m= 36 kg k 235 mm 270 mm T G Ug = 0.08 Uh = 0.07 105 mm.
The shown spool has a mass of 450 kg and aradius of gyration Gk=1.2 m. It rests on thesurface of conveyer belt for which the coefficient offriction m= 0.5. If the conveyer acceleratesat2 1.2m / S and the spools rolls without slipping,determine the tension in the wire and the angularacceleration of the spool
21-77. The satellite has a mass of 1.8 Mg, and about axes passing through the mass center G the axial and transverse radii of gyration are k. = 0.8 m and k, = 1.2 m, respectively. If it is spinning at w, = 6 rad/s when it is launched, determine its angular momentum. Precession occurs about the Z axis.

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