21-78. The radius of gyration about an axis passingthrough the axis of symmetry of the 1.2-Mg satellite isk = 1.4 m, and about any transverse axis passing throughthe center of mass G, k, = 2.20 m. If the satellite has aknown spin of 2700 rev/h about the z axis, determine thesteady-state precession about the z axis.15°

Answered: Image /qna-images/answer/2e1bbfd9-059f-49a8-ab85-dc27733d1d08.jpg

Answered: 21-78. The radius of gyration about an…

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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18-9 The pendulum consists of a 10 kg uniform disk and a 3 kg uniform slender rod. If it is released from rest in the position shown, determine its angular from velocity when it rotates clock wise .
Determine the rate of spin if both panels are raised and reach the upward position, θ = 0∘∘, at the same instant
An engine flywheel has a mass of 120 kg and a radius of gyration of 630 mm. At an instant when the flywheel runs at 600 rev/min, an acceleration torque of 150 Nm was applied for a period of 10 seconds. Determine the: (i) final speed of the flywheel in rev/min. (ii) number of flywheel revolutions made during the acceleration period. (iii) kinetic energy of rotation of the flywheel.
19-26 The double pulley consists of two wheels which are attached to one another and turn at the same rate. The pulley has a mass of 15 kg and a radius of gyration of = 110 mm. if the block at A has a mass of 40 kg and the container at B has a mass of 85 kg, including its contents, determine the speed of the container when t = 3s after it is released from rest.
The rod AB has a mass of 20 kg，the mass of the piston A and B are both 5kg. Piston B is attached to a spring of constant k = 1200 N/m. The spring is un-stretched when θ = 0. If the rod is released from rest whenθ = 45° Please find÷ (1) the moment inertia of the rod AB about its mass center G (2)The angular velocity of rod AB at θ = 0° (3）the velocity of piston A at θ = 0° (4) the velocity of Piston B at θ = 0° (hint: regard the piston A, B, rod as a system, during the motion, except the spring, the weight of rod AB, the weight of pistonB also does work). g = 9.8 m/s2
An aeroplane makes a complete half circle of 50 metres radius, towards left, when flying at 200 km per hour. The rotary engine and the propeller of the plane has a mass of 400 kg with a radius of gyration of 300 mm. The engine runs at 2400 r.p.m. clockwise, when viewed from the rear. Find the gyroscopic couple on the aircraft and state its effect on it. What will be the effect, if the aeroplane turns to its right instead of to the left ?
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.
The system is at rest with the sprng unstretched when theta = 0. The 5.3 kg uniform slender bar is then given a slight clockwise nudge. The value of b is 0.45 m. If the bar comes to momentary rest when theta = 58, determine the spring constat k. For the value k = 65N/m, find the magnitude of the angular velocity of the bar when theta = 38
a gyroscope is made from a wheel mounted horizontally on a light axle (see figure). The axle pivots freely at one end, which is l =0.100m from the centre of the wheel. The wheel is a uniform disk with a radius of R=0.204m and mass M and rotates at angular speed ? =28.1s^-1 in the direction shown. Calculate the precession speed Ω. Express your answer as a positive number if the precession is anticlockwise viewed from above (i.e. the gyroscope initially moves away from you) and as a negative number otherwise.
The system is at rest with the spring unstretched when theta = 0. the 5.3 kg uniform slender bar is then given a slight clockwise nudge. The value of b is 0.45 m. (a) if the bar comes to momentary rest when theta = 58, determine the spring constant k. (b) for the value k = 65 N/m, find the magnitude of the angular velocity of th ebar when theta = 38 degrees.
A disk with mass m = 6.5 kg and radius R = 0.39 m hangs from a rope attached to the ceiling. The disk spins on its axis at a distance r = 1.32 m from the rope and at a frequency f = 18.9 rev/s (with a direction shown by the arrow). what is the torque due to gravity on the disk? what is the period of precession for this gyroscope? what is the direction of precession of the gyroscope?
An aeroplane makes a complete half circle of 70 metres radius, towards left, when flying at 500 km per hr. The rotary engine and the propeller of the plane has a mass of 600 kg and a radius of gyration of 0.3 m. The engine rotates at 2500 r.p.m. clockwise when viewed from the rear. Find the gyroscopic couple on the aircraft.

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