The 2.5-kgkg rod ACBACB supports the two 4.1-kgkg disks at its ends. If both disks are given a clockwise angular velocity (ωA)1=(ωB)1=4.6rad/s(ωA)1=(ωB)1=4.6rad/s while the rod is held stationary and then released, determine the angular velocity of the rod after both disks have stopped spinning relative to the rod due to frictional resistance at the pins AA and BB. Motion is in the horizontal plane. Neglect friction at pin CC.
The 2.5-kgkg rod ACBACB supports the two 4.1-kgkg disks at its ends. If both disks are given a clockwise angular velocity (ωA)1=(ωB)1=4.6rad/s(ωA)1=(ωB)1=4.6rad/s while the rod is held stationary and then released, determine the angular velocity of the rod after both disks have stopped spinning relative to the rod due to frictional resistance at the pins AA and BB. Motion is in the horizontal plane. Neglect friction at pin CC.
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
The 2.5-kgkg rod ACBACB supports the two 4.1-kgkg disks at its ends.
If both disks are given a clockwise angular velocity (ωA)1=(ωB)1=4.6rad/s(ωA)1=(ωB)1=4.6rad/s while the rod is held stationary and then released, determine the angular velocity of the rod after both disks have stopped spinning relative to the rod due to frictional resistance at the pins AA and BB. Motion is in the horizontal plane. Neglect friction at pin CC.
![**Educational Content: Angular Velocity Problem**
**Problem Statement:**
The 2.5-kg rod ACB supports the two 4.1-kg disks at its ends. (Refer to Figure 1)
**Task:**
Part A:
If both disks are given a clockwise angular velocity \((\omega_1 = \omega_B)_1 = 4.6 \, \text{rad/s}\) while the rod is held stationary and then released, determine the angular velocity of the rod after both disks have stopped spinning relative to the rod due to frictional resistance at the pins A and B. Motion is in the horizontal plane. Neglect friction at pin C.
**Instructions:**
Express your answer to three significant figures and include the appropriate units.
**Answer Input:**
\(\omega = \text{Value Units}\)
**Submit Button:**
- [Submit]
- [Request Answer]
**Graphs and Diagrams:**
Figure 1 shows a horizontal rod ACB supporting two disks. Each disk is positioned at either end of the rod. The rod is 0.75 m on each side of the central support point at C, with the disks rotating in a clockwise direction with an angular velocity of \(4.6 \, \text{rad/s}\). The distances of 0.15 m indicate the radius of each disk.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F98ba27a3-ab69-49b1-ad1c-2aa6f8226754%2Fdb922d7e-924d-4bdf-a6ce-a05ed1a4cef9%2F9cyeggf_processed.png&w=3840&q=75)
Transcribed Image Text:**Educational Content: Angular Velocity Problem**
**Problem Statement:**
The 2.5-kg rod ACB supports the two 4.1-kg disks at its ends. (Refer to Figure 1)
**Task:**
Part A:
If both disks are given a clockwise angular velocity \((\omega_1 = \omega_B)_1 = 4.6 \, \text{rad/s}\) while the rod is held stationary and then released, determine the angular velocity of the rod after both disks have stopped spinning relative to the rod due to frictional resistance at the pins A and B. Motion is in the horizontal plane. Neglect friction at pin C.
**Instructions:**
Express your answer to three significant figures and include the appropriate units.
**Answer Input:**
\(\omega = \text{Value Units}\)
**Submit Button:**
- [Submit]
- [Request Answer]
**Graphs and Diagrams:**
Figure 1 shows a horizontal rod ACB supporting two disks. Each disk is positioned at either end of the rod. The rod is 0.75 m on each side of the central support point at C, with the disks rotating in a clockwise direction with an angular velocity of \(4.6 \, \text{rad/s}\). The distances of 0.15 m indicate the radius of each disk.
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