21-23. Show that if the angular momentum of a body isdetermined with respect to an arbitrary point A, then H,can be expressed by Eq. 21–9. This requires substitutingPA = PG + PG/A into Eq. 21-6 and expanding, notingthat SPg dm = 0 by definition of the mass center andVGVA+ co X PG| A-PGJAPGPA

Answered: Image /qna-images/answer/37507b78-cf6e-4563-bfeb-222c6fed0d7a.jpg

Answered: 21-23. Show that if the angular…

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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19-35 The 10 kg bullet having of 800 m/s is fired into the edge of the 5 kg disk as shown. Determine the angular velocity of the disk just after the bullet becomes embedded into its edge. Also, calculate the angle the disk will swing when it stops. The disk is originally at rest. Neglect the mass of the rod AB.
15-102. The two spheres each have a mass of 3 kg and are attached to the rod of negligible mass. Determine the time the torque M = (8t) N·m where, is in seconds, must be applied to the rod so that each sphere attains a speed of 3 m/s starting from rest
17-74 The two blocks A and B have a mass Ma and Mb, respectively, where Ma > Mb. If the pulley can be treated as a disk of mass M, determine the acceleration of block A. Neglect the mass of the cord and any slipping on the pulley.
19-31 The 75 kg gymnast lets go of the horizontal bar in a fully stretched position A, rotating with an angular velocity of = 3 rad/s. estimate his angular velocity when he assumes a tucked position B. assume the gymnast at position A and B as a uniform slender rod and a uniform circular disk, respectively.
17-95 The 20 kg punching bag has a radius of gyration about its center of mass G of kG = 0.4 m. If it is initially at rest and is subjected to a horizontal force F = 30 N, determine the initial angular acceleration of the bag and the tension in the supporting cable AB.
18-19 The 30 kg disk is originally at rest, and spring is unstretched. A couple moment M= 80 Nm is then applied to the disk as shown. Determine how far the center of mass of the disk travels along the plane before it momentarily stops. The disk rolls without slipping.
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 .
If the cord is subjected to a horizontal force of P = 150 N, and gear is supported by a fixed pin at O,determine the angular velocity of the gear and the velocity of the 20-kg gear rack in 4 s, starting from rest. The mass of the gear is 50 kg and it has a radius of gyration of k0 = 125 mm. Assume that the contact surface between the gear rack and the horizontal plane is smooth.
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
19–58. The pendulum consists of a 10-lb solid ball and 4-lb rod. If it is released from rest when u0 = 0°, determine the angle u1 of rebound after the ball strikes the wall and the pendulum swings up to the point of momentary rest. Take e = 0.6. &
The wheel has a mass of 100 kg and a radius of gyration of kO = 0.2 m. A motor supplies a torque M = (40u + 900) N #m, where u is in radians, about the drive shaft at O. Determine the speed of the loading car, which has a mass of 300 kg, after it travels s = 4 m. Initially the car is at rest when s = 0 and u = 0°. Neglect the mass of the attached cable and the mass of the car’s wheels
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 kO=110mm. If the block at A has a mass of 40 kg, determine the speed of the block in 3 s after a constant force F=2kN is applied to the rope wrapped around the inner hub of the pulley. The block is originally at rest. Neglect the mass of the rope.

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