1. In the position shown the angular velocity of crank AB is WAB the angular velocities OBC and wcp at this instant. A 60mm WAB SOMM 80mm 30

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

1. In the position shown, the angular velocity of crank AB is \( \omega_{AB} = 2 \, \text{rad/s clockwise} \). Determine the angular velocities \( \omega_{BC} \) and \( \omega_{CD} \) at this instant.

### Diagram Explanation

The diagram accompanying the problem is a mechanical linkage system consisting of three parts: a crank (AB), another link (BC), and a connector (CD). Here's a detailed description:

- **Point A**: This is the pivot point where the crank AB is attached. It serves as the rotation center.
- **Crank AB**: 
  - It is marked with a length of 60 mm.
  - This crank rotates around point A.
  - It is shown with an angular velocity \( \omega_{AB} \).
- **Link BC**: 
  - It connects point B to point C and is 50 mm in length.
- **Connector CD**:
  - This part is inclined at an angle of 30 degrees relative to the horizontal.
  - It connects point C to point D and is 80 mm in length.
- **Arrows**: Indicate the rotational direction and axis.

The task is to calculate \( \omega_{BC} \) and \( \omega_{CD} \) given the angular velocity of crank AB.
Transcribed Image Text:### Problem Statement 1. In the position shown, the angular velocity of crank AB is \( \omega_{AB} = 2 \, \text{rad/s clockwise} \). Determine the angular velocities \( \omega_{BC} \) and \( \omega_{CD} \) at this instant. ### Diagram Explanation The diagram accompanying the problem is a mechanical linkage system consisting of three parts: a crank (AB), another link (BC), and a connector (CD). Here's a detailed description: - **Point A**: This is the pivot point where the crank AB is attached. It serves as the rotation center. - **Crank AB**: - It is marked with a length of 60 mm. - This crank rotates around point A. - It is shown with an angular velocity \( \omega_{AB} \). - **Link BC**: - It connects point B to point C and is 50 mm in length. - **Connector CD**: - This part is inclined at an angle of 30 degrees relative to the horizontal. - It connects point C to point D and is 80 mm in length. - **Arrows**: Indicate the rotational direction and axis. The task is to calculate \( \omega_{BC} \) and \( \omega_{CD} \) given the angular velocity of crank AB.
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