For the following mechanism, if the length of rod AO, /= 2.5 m, and its angular velocity W = 7.3 rad/s, determine the magnitude of the linear velocity of point B. Please pay attention: the numbers may change since they are randomized. Your answer must include 2 places after the decimal point and proper unit. A 3 4 0.5 m B

Elements Of Electromagnetics
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Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
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For the following mechanism, if the length of rod \( AO, \, l = 2.5 \, \text{m} \), and its angular velocity \( \omega = 7.3 \, \text{rad/s} \), determine the magnitude of the linear velocity of point \( B \).

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 rod \( AO \) with length \( l \). At point \( A \), the rod connects to an angled link that extends to point \( B \). The distance from point \( A \) to point \( B \) along the link is \( 0.5 \, \text{m} \). The mechanism rotates with an angular velocity \( \omega \). The task is to find the linear velocity at point \( B \).

**Your Answer:**

- [Your calculated answer with two decimal places] 

- Units: [Appropriate units]
Transcribed Image Text:For the following mechanism, if the length of rod \( AO, \, l = 2.5 \, \text{m} \), and its angular velocity \( \omega = 7.3 \, \text{rad/s} \), determine the magnitude of the linear velocity of point \( B \). 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 rod \( AO \) with length \( l \). At point \( A \), the rod connects to an angled link that extends to point \( B \). The distance from point \( A \) to point \( B \) along the link is \( 0.5 \, \text{m} \). The mechanism rotates with an angular velocity \( \omega \). The task is to find the linear velocity at point \( B \). **Your Answer:** - [Your calculated answer with two decimal places] - Units: [Appropriate units]
For the following mechanism, if the length of rod \( AO, \, l = 2.0 \, \text{m} \), and its angular velocity \( \omega = 7.6 \, \text{rad/s} \), determine the magnitude of the angular velocity of link \( AB \).

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 Explanation:**

- **Rod AO**: A horizontal rod extending from point \( O \) to point \( A \). The length \( l \) is given as 2.0 m.
- **Link AB**: A rod extending from point \( A \) downward at an angle to point \( B \), with a length of 0.5 m.
- **Angular velocity \( \omega \)**: The rotational speed of rod \( AO \) is indicated at point \( O \) with a given value of 7.6 rad/s.
- The diagram includes a right triangle at point \( A \), indicating angles to help solve the problem using trigonometric relationships.

**Your Answer:**

(answer box)
(units box)
Transcribed Image Text:For the following mechanism, if the length of rod \( AO, \, l = 2.0 \, \text{m} \), and its angular velocity \( \omega = 7.6 \, \text{rad/s} \), determine the magnitude of the angular velocity of link \( AB \). 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 Explanation:** - **Rod AO**: A horizontal rod extending from point \( O \) to point \( A \). The length \( l \) is given as 2.0 m. - **Link AB**: A rod extending from point \( A \) downward at an angle to point \( B \), with a length of 0.5 m. - **Angular velocity \( \omega \)**: The rotational speed of rod \( AO \) is indicated at point \( O \) with a given value of 7.6 rad/s. - The diagram includes a right triangle at point \( A \), indicating angles to help solve the problem using trigonometric relationships. **Your Answer:** (answer box) (units box)
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