The system is made up of the 1-m, 6.9-kg uniform rod AB and the two uniform disks (each of 0.13 m radius and 2.5 kg mass). If the system is released from rest when = 77°, when rod AB has just become horizontal, determine the ratio between the angular velocities of disk A and rod AB, A. Assume the disks roll without slipping. WAB Please pay attention: the numbers may change since they are randomized. Take g = 9.81 m/s². B 0 A B A

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
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**Problem Statement:**

The system is made up of the following components:

- A 1-meter, 6.9-kg uniform rod \( AB \).
- Two uniform disks, each with a 0.13 m radius and 2.5 kg mass.

**Initial Condition:**

- The system is released from rest when \( \theta = 77^\circ \).

**Objective:**

- Determine the ratio between the angular velocities of disk \( A \) and rod \( AB \), denoted as \( \frac{\omega_A}{\omega_{AB}} \), when rod \( AB \) has just become horizontal.
- Assume the disks roll without slipping.

**Important Note:**

- The numbers may change since they are randomized.

- Use \( g = 9.81 \, \text{m/s}^2 \).

**Diagram Explanation:**

1. **Left Side Diagram:**
   - Shows rod \( AB \) inclined at an angle \( \theta \) from the vertical.
   - The length of the rod is marked as 1 meter.
   - Points \( A \) and \( B \) are shown as pivot points connecting the rod and the disks.

2. **Right Side Diagram:**
   - Illustrates the rod \( AB \) in the horizontal position after release.
   - Points \( A \) and \( B \) remain in contact with the disks.

**Calculation Area:**

- A field marked "Your Answer:" followed by a text box labeled "Answer" is provided for inputting the calculated ratio of angular velocities.
Transcribed Image Text:**Problem Statement:** The system is made up of the following components: - A 1-meter, 6.9-kg uniform rod \( AB \). - Two uniform disks, each with a 0.13 m radius and 2.5 kg mass. **Initial Condition:** - The system is released from rest when \( \theta = 77^\circ \). **Objective:** - Determine the ratio between the angular velocities of disk \( A \) and rod \( AB \), denoted as \( \frac{\omega_A}{\omega_{AB}} \), when rod \( AB \) has just become horizontal. - Assume the disks roll without slipping. **Important Note:** - The numbers may change since they are randomized. - Use \( g = 9.81 \, \text{m/s}^2 \). **Diagram Explanation:** 1. **Left Side Diagram:** - Shows rod \( AB \) inclined at an angle \( \theta \) from the vertical. - The length of the rod is marked as 1 meter. - Points \( A \) and \( B \) are shown as pivot points connecting the rod and the disks. 2. **Right Side Diagram:** - Illustrates the rod \( AB \) in the horizontal position after release. - Points \( A \) and \( B \) remain in contact with the disks. **Calculation Area:** - A field marked "Your Answer:" followed by a text box labeled "Answer" is provided for inputting the calculated ratio of angular velocities.
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