For the following pin-connected link assembly, link \( AO \) is pinned at point \( O \), and moves with angular velocity \( \omega \) and angular acceleration \( \alpha \) (both counterclockwise).2) If \( \omega = 3.7 \, \text{rad/s} \) and \( \alpha = 7.6 \, \text{rad/s}^2 \), what is the magnitude of the linear velocity of point \( A \)? Please pay attention: the numbers may change since they are randomized. Your answer must include 2 places after the decimal point, and proper unit.**Diagram Description:**- The diagram shows a link assembly with the link \( AO \) connected to point \( O \).- Point \( A \) is 0.5 meters away from point \( O \).- The link rotates counterclockwise with angular velocity \( \omega \) and angular acceleration \( \alpha \).- The linkage is connected at another end at point \( B \), with an angle \( \theta \) indicated.- Measurements are given for parts of the link in terms of length and angles.**Your Answer:**| Answer | units ||--------|-------|| | |

Answered: B θ 1 A 0.5 m ω, α

Engineering

Mechanical Engineering

B θ 1 A 0.5 m ω, α

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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Concept explainers

Free Body Diagram

The system of forces acting on a body tends to either rotate it or make the body undergo motion. In general, when an external agent exerts a force on a body, the body undergoes translational motion and rotational motion. The body has six degrees of freedom under the influence of that force. Here, three degrees of freedom are from the translational motion while the other three are from the rotation motion. However, sometimes the bodies are not allowed to undergo any motion and are fixed, under such conditions the body is said to be constrained.

Question

For the following pin-connected link assembly, link \( AO \) is pinned at point \( O \), and moves with angular velocity \( \omega \) and angular acceleration \( \alpha \) (both counterclockwise).

2) If \( \omega = 3.7 \, \text{rad/s} \) and \( \alpha = 7.6 \, \text{rad/s}^2 \), what is the magnitude of the linear velocity of point \( A \)? Please pay attention: the numbers may change since they are randomized. Your answer must include 2 places after the decimal point, and proper unit.

**Diagram Description:**

- The diagram shows a link assembly with the link \( AO \) connected to point \( O \).
- Point \( A \) is 0.5 meters away from point \( O \).
- The link rotates counterclockwise with angular velocity \( \omega \) and angular acceleration \( \alpha \).
- The linkage is connected at another end at point \( B \), with an angle \( \theta \) indicated.
- Measurements are given for parts of the link in terms of length and angles.

**Your Answer:**

| Answer | units |
|--------|-------|
| | |

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