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
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
Problem 1.1MA
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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.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F7b9972d9-7c01-466c-ae96-7335e8ec1f49%2F2e7240da-4aea-4a66-8fef-a6d599464720%2F7ratodp_processed.jpeg&w=3840&q=75)
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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