At the instant mechanisms is shown below, for the gear its angular velocity is 6rad/s counterclockwise and its angular acceleration is 5rad/s2 clockwise. For the position depicited in the figure, using the vector method only, determine a) The angular veleocity of link BD and AB B) the angular acceleration of link AB and BD ### Diagram ExplanationThe diagram illustrates a mechanical linkage system, which includes a lever arm, a gear, and a rack. The following components and dimensions are presented in the image:- **Lever Arm (BA):** The lever connects points B and A. The length of the lever (BA) is 150 mm.- **Gear:** The gear is centered at point O. It has a radius of 60 mm, making its diameter 120 mm.- **Rack:** Located at the bottom of the diagram, it interacts with the gear to facilitate linear motion.- **Dimensions:** - The vertical distance from the center of the gear (O) to the base of the rack is marked as 140 mm. - The lever arm is positioned 50 mm above the horizontal reference, across point B. - Another bar is extending vertically at point D, placed 50 mm away from the horizontal axis of the lever.This setup likely illustrates a mechanism for converting rotational motion from the gear into linear motion along the rack, common in applications such as rack-and-pinion systems.

Answered: Image /qna-images/answer/dcdbc31e-1724-4572-8bb7-0a0b3e1c5d12.jpg

Answered: 50 140 AT 30 60 150

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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At the instant mechanisms is shown below, for the gear its angular velocity is 6rad/s counterclockwise and its angular acceleration is 5rad/s2 clockwise. For the position depicited in the figure, using the vector method only, determine a) The angular veleocity of link BD and AB B) the angular acceleration of link AB and BD

### Diagram Explanation

The diagram illustrates a mechanical linkage system, which includes a lever arm, a gear, and a rack. The following components and dimensions are presented in the image:

- **Lever Arm (BA):** The lever connects points B and A. The length of the lever (BA) is 150 mm.
- **Gear:** The gear is centered at point O. It has a radius of 60 mm, making its diameter 120 mm.
- **Rack:** Located at the bottom of the diagram, it interacts with the gear to facilitate linear motion.
- **Dimensions:**
- The vertical distance from the center of the gear (O) to the base of the rack is marked as 140 mm.
- The lever arm is positioned 50 mm above the horizontal reference, across point B.
- Another bar is extending vertically at point D, placed 50 mm away from the horizontal axis of the lever.

This setup likely illustrates a mechanism for converting rotational motion from the gear into linear motion along the rack, common in applications such as rack-and-pinion systems.

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