The 1.5-kg rod ACB supports the two 4.5-kg disks at its ends. (Figure 1) Part A If both disks are given a clockwise angular velocity (wA)1 = (wB)1 = 4.7rad/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. Express your answer to three significant figures and include the appropriate units. Figure 1 of 1 W = Value Units 0,75m 0.75m Submit Request Answer 0.15 m 0.15 m < Return to Assignment Provide Feedback

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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Circle final answer with the correct units unit should be rad/s 
### Problem Statement

The 1.5-kg rod \(ACB\) supports the two 4.5-kg disks at its ends. 

**Figure 1**: A diagram shows a horizontal rod labeled \(ACB\) with disks attached at each end. The distance between the rod's ends and its midpoint \(C\) is given as 0.75 m. Each disk is 0.15 m from the end of the rod. The disks are labeled \(A\) and \(B\) and display a clockwise angular velocity \((\omega_A)_1 = (\omega_B)_1 = 4.7 \, \text{rad/s}\).

### Part A

**Objective**: If both disks are given a clockwise angular velocity \((\omega_A)_1 = (\omega_B)_1 = 4.7 \, \text{rad/s}\) 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.

**Input Box**:
- \(\omega = \) [Value] [Units]

**Actions**:
- Submit
- Request Answer

**Navigation**:
- Return to Assignment
- Provide Feedback

### Explanation

This exercise involves dynamics and rotational motion, focusing on frictional forces affecting angular velocity. The key aspect is determining how the initial angular momentum of the disks influences the rod's angular velocity after releasing the system with frictional interaction at specific points.
Transcribed Image Text:### Problem Statement The 1.5-kg rod \(ACB\) supports the two 4.5-kg disks at its ends. **Figure 1**: A diagram shows a horizontal rod labeled \(ACB\) with disks attached at each end. The distance between the rod's ends and its midpoint \(C\) is given as 0.75 m. Each disk is 0.15 m from the end of the rod. The disks are labeled \(A\) and \(B\) and display a clockwise angular velocity \((\omega_A)_1 = (\omega_B)_1 = 4.7 \, \text{rad/s}\). ### Part A **Objective**: If both disks are given a clockwise angular velocity \((\omega_A)_1 = (\omega_B)_1 = 4.7 \, \text{rad/s}\) 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. **Input Box**: - \(\omega = \) [Value] [Units] **Actions**: - Submit - Request Answer **Navigation**: - Return to Assignment - Provide Feedback ### Explanation This exercise involves dynamics and rotational motion, focusing on frictional forces affecting angular velocity. The key aspect is determining how the initial angular momentum of the disks influences the rod's angular velocity after releasing the system with frictional interaction at specific points.
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