**Text Transcription:**The link AB is hinged at A on the gear and at B on the collar moving along the horizontal bar. Note that the rack (toothed rod) is fixed on the ground. At the instant shown, the gear has an angular velocity of 6 rad/sec and an angular acceleration of 12 rad/sec² in the counter-clockwise direction. Determine the magnitude of the angular acceleration of the link AB. Present your answer in rad/sec² using 3 significant figures.**Diagram Explanation:**The diagram displays a gear system:- **Gear Rotation**: The gear has a radius of 3 inches and is rotating with an angular velocity \( \omega = 6 \, \text{rad/s} \) and an angular acceleration \( \alpha = 12 \, \text{rad/s}^2 \) in the counter-clockwise direction.- **Link AB**: There is a link AB with point A hinging on the gear at a distance of 2 inches from the center of the gear, O. The link extends to point B, which is 8 inches from point A.- **Angle**: The angle between the link AB and the horizontal bar is 60°.- **Rack**: A rack is shown fixed on the ground, interacting with the gear.

The link AB is hinged at A on the gear and at B on the collar moving along the horizontal bar. Note that the rack (toothed rod) is fixed on the ground. At the instant shown, the gear has an angular velocity of 6 rad/sec and an angular acceleration of 12 rad/sec² in the counter-clockwise direction. Determine the magnitude of the angular acceleration of the link AB. Present your answer in rad/sec² using 3 significant figures. @ = 6 rad/s a = 12 rad/s² 3 in. 2 in. B 8 in. A

The link AB is hinged at A on the gear and at B on the collar moving along the horizontal bar. Note that the rack (toothed rod) is fixed on the ground. At the instant shown, the gear has an angular velocity of 6 rad/sec and an angular acceleration of 12 rad/sec² in the counter-clockwise direction. Determine the magnitude of the angular acceleration of the link AB. Present your answer in rad/sec² using 3 significant figures. @ = 6 rad/s a = 12 rad/s² 3 in. 2 in. B 8 in. 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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**Text Transcription:**

The link AB is hinged at A on the gear and at B on the collar moving along the horizontal bar. Note that the rack (toothed rod) is fixed on the ground. At the instant shown, the gear has an angular velocity of 6 rad/sec and an angular acceleration of 12 rad/sec² in the counter-clockwise direction. Determine the magnitude of the angular acceleration of the link AB. Present your answer in rad/sec² using 3 significant figures.

**Diagram Explanation:**

The diagram displays a gear system:

- **Gear Rotation**: The gear has a radius of 3 inches and is rotating with an angular velocity \( \omega = 6 \, \text{rad/s} \) and an angular acceleration \( \alpha = 12 \, \text{rad/s}^2 \) in the counter-clockwise direction.
- **Link AB**: There is a link AB with point A hinging on the gear at a distance of 2 inches from the center of the gear, O. The link extends to point B, which is 8 inches from point A.
- **Angle**: The angle between the link AB and the horizontal bar is 60°.
- **Rack**: A rack is shown fixed on the ground, interacting with the gear.

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