The slender g bar AB is horiontal and at rest. The spring has an unstretched length sof1mand a spring constant of 15 N/m the length of the bar AB is 1.Sm Find the anplar velocity when -45 when the bar has rotate clockwise -45 after being released. Give your answer with 2 decimals and include the sign

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 and Diagram Explanation for Educational Website**

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**Problem Statement:**

The slender 8-kg bar AB is horizontal and at rest. The spring has an unstretched length \( s_0 \) of 1 m and a spring constant of 15 N/m. The length of the bar AB is \( l = 1.5 \, \text{m} \).

Find the angular velocity when \( \theta = 45^\circ \) when the bar has rotated clockwise \( \theta = 45^\circ \) after being released. Give your answer with 2 decimals and include the sign.

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**Diagram Explanation:**

- The diagram shows a horizontal bar AB.
- Point A is fixed, and point B is attached to a spring.
- The spring is in a vertical position when the bar is horizontal.
- The bar has a length labeled \( l \).
- The spring is labeled with its unstretched length \( s_0 \).
- The angle \( \theta \), representing the rotation of the bar, is depicted as the bar rotates clockwise.

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This problem involves concepts of rotational mechanics and spring force. Students are encouraged to use principles of energy conservation and dynamics to solve for the angular velocity of the rotating bar.
Transcribed Image Text:**Text Transcription and Diagram Explanation for Educational Website** --- **Problem Statement:** The slender 8-kg bar AB is horizontal and at rest. The spring has an unstretched length \( s_0 \) of 1 m and a spring constant of 15 N/m. The length of the bar AB is \( l = 1.5 \, \text{m} \). Find the angular velocity when \( \theta = 45^\circ \) when the bar has rotated clockwise \( \theta = 45^\circ \) after being released. Give your answer with 2 decimals and include the sign. --- **Diagram Explanation:** - The diagram shows a horizontal bar AB. - Point A is fixed, and point B is attached to a spring. - The spring is in a vertical position when the bar is horizontal. - The bar has a length labeled \( l \). - The spring is labeled with its unstretched length \( s_0 \). - The angle \( \theta \), representing the rotation of the bar, is depicted as the bar rotates clockwise. --- This problem involves concepts of rotational mechanics and spring force. Students are encouraged to use principles of energy conservation and dynamics to solve for the angular velocity of the rotating bar.
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