The flywheel shown has an angular velocity of 600 rpm. The connecting rod AB slides through the pivoting collar at C. When 0=45°, find AB, the angular velocity of AB. Hint: The direction of the velocity of the bar AB at a point directly under C is parallel to the collar C. That direction can be found from trigonometry. A 8 16. B

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
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### Problem Statement
The flywheel shown has an angular velocity of 600 rpm. The connecting rod AB slides through the pivoting collar at C. When \( \theta = 45^\circ \), find \( \omega_{AB} \), the angular velocity of AB.

**Hint:** The direction of the velocity of the bar AB at a point directly under C is parallel to the collar C. That direction can be found from trigonometry.

### Diagram Explanation
The diagram illustrates a mechanical setup with a flywheel and a connecting rod:

- **Flywheel:** The flywheel is shown as a large circle, with an angular velocity of 600 rpm.
- **Connecting Rod AB:** The rod AB is attached to the flywheel at A and pivots through a collar at C.
- **Points and Angles:**
  - Point A is located on the circumference of the flywheel.
  - The angle \( \theta \) is given as \( 45^\circ \), indicating the position of the rod relative to the vertical.
- **Linear Dimensions:** The distance from the center of the flywheel to point C is marked as 16 inches.

The task is to determine the angular velocity \( \omega_{AB} \) of the rod AB based on the given angular velocity of the flywheel and the position of the rod. Trigonometry is suggested for finding the direction of the velocity of the bar under point C.
Transcribed Image Text:### Problem Statement The flywheel shown has an angular velocity of 600 rpm. The connecting rod AB slides through the pivoting collar at C. When \( \theta = 45^\circ \), find \( \omega_{AB} \), the angular velocity of AB. **Hint:** The direction of the velocity of the bar AB at a point directly under C is parallel to the collar C. That direction can be found from trigonometry. ### Diagram Explanation The diagram illustrates a mechanical setup with a flywheel and a connecting rod: - **Flywheel:** The flywheel is shown as a large circle, with an angular velocity of 600 rpm. - **Connecting Rod AB:** The rod AB is attached to the flywheel at A and pivots through a collar at C. - **Points and Angles:** - Point A is located on the circumference of the flywheel. - The angle \( \theta \) is given as \( 45^\circ \), indicating the position of the rod relative to the vertical. - **Linear Dimensions:** The distance from the center of the flywheel to point C is marked as 16 inches. The task is to determine the angular velocity \( \omega_{AB} \) of the rod AB based on the given angular velocity of the flywheel and the position of the rod. Trigonometry is suggested for finding the direction of the velocity of the bar under point C.
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