Problem4. The thin uniform disk of mass m = 1-kg and radius R = 0.1m spins about the bent shaft OG with the angular speed w2 = 20 rad/s. At the same time, the shaft rotates about the z-axis with the angular speed 001 = 10 rad/s. The angle between the bent portion of the shaft and the z-axis is ẞ = 35°. The mass of the shaft is negligible compared to the mass of the disk. a. Find the angular momentum of the disk with respect to point G, based on the axis orientation as shown. Include an MVD in your solution. b. Find the angular momentum of the disk with respect to point O, based on the axis orientation as shown. (Note: O is NOT the center of fixed-point rotation.) c. Find the kinetic energy of the assembly. z R R 002 2R x Answer: H = -0.046ĵ-0.040 kg-m²/sec Ho=-0.146-0.015 kg-m²/sec T 0.518 N-m =
Problem4. The thin uniform disk of mass m = 1-kg and radius R = 0.1m spins about the bent shaft OG with the angular speed w2 = 20 rad/s. At the same time, the shaft rotates about the z-axis with the angular speed 001 = 10 rad/s. The angle between the bent portion of the shaft and the z-axis is ẞ = 35°. The mass of the shaft is negligible compared to the mass of the disk. a. Find the angular momentum of the disk with respect to point G, based on the axis orientation as shown. Include an MVD in your solution. b. Find the angular momentum of the disk with respect to point O, based on the axis orientation as shown. (Note: O is NOT the center of fixed-point rotation.) c. Find the kinetic energy of the assembly. z R R 002 2R x Answer: H = -0.046ĵ-0.040 kg-m²/sec Ho=-0.146-0.015 kg-m²/sec T 0.518 N-m =
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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Question

Transcribed Image Text:Problem4.
The thin uniform disk of mass m = 1-kg and radius R = 0.1m spins about the bent shaft OG with
the angular speed w2 = 20 rad/s. At the same time, the shaft rotates about the z-axis with the angular
speed 001 = 10 rad/s. The angle between the bent portion of the shaft and the z-axis is ẞ = 35°. The
mass of the shaft is negligible compared to the mass of the disk.
a. Find the angular momentum of the disk with respect to point G, based on the axis
orientation as shown. Include an MVD in your solution.
b. Find the angular momentum of the disk with respect to point O, based on the axis
orientation as shown. (Note: O is NOT the center of fixed-point rotation.)
c. Find the kinetic energy of the assembly.
z
R
R
002
2R
x
Answer: H = -0.046ĵ-0.040 kg-m²/sec
Ho=-0.146-0.015 kg-m²/sec
T 0.518 N-m
=
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