The 23-kg uniform thin hollow square plate is pinned at point O, and its side L = 0.3 m. If it is subjected to the constant moment M = 82 N·m and is released from rest from the position as shown, determine its angular velocity W (in rad/s) when it has rotated 45°. Please pay attention: the numbers may change since they are randomized. Your answer must include 2 places after the decimal point. Take g = 9.81 m/s². M Your Answer: Answer

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
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The 23-kg uniform thin hollow square plate is pinned at point \( O \), and its side \( L = 0.3 \, \text{m} \). If it is subjected to the constant moment \( M = 82 \, \text{N} \cdot \text{m} \) and is released from rest from the position as shown, determine its angular velocity \( \omega \) (in rad/s) when it has rotated \( 45^\circ \). Please pay attention: the numbers may change since they are randomized. Your answer must include 2 places after the decimal point. Take \( g = 9.81 \, \text{m/s}^2 \).

Diagram Explanation:
- The diagram depicts a square plate with a side length \( L \) and a center point \( G \).
- The plate is fixed at point \( O \) and subjected to a moment \( M \).
- The position of the center of the plate \( G \) is at a distance \( \frac{L}{2} \) from the pivot point \( O \).
- The rotational motion of the plate at point \( O \) with a moment \( M \) is indicated by an arrow. 

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Transcribed Image Text:The 23-kg uniform thin hollow square plate is pinned at point \( O \), and its side \( L = 0.3 \, \text{m} \). If it is subjected to the constant moment \( M = 82 \, \text{N} \cdot \text{m} \) and is released from rest from the position as shown, determine its angular velocity \( \omega \) (in rad/s) when it has rotated \( 45^\circ \). Please pay attention: the numbers may change since they are randomized. Your answer must include 2 places after the decimal point. Take \( g = 9.81 \, \text{m/s}^2 \). Diagram Explanation: - The diagram depicts a square plate with a side length \( L \) and a center point \( G \). - The plate is fixed at point \( O \) and subjected to a moment \( M \). - The position of the center of the plate \( G \) is at a distance \( \frac{L}{2} \) from the pivot point \( O \). - The rotational motion of the plate at point \( O \) with a moment \( M \) is indicated by an arrow. Interactive Section: - A field labeled "Your Answer" is provided for input. - A button labeled "Answer" is available for submission.
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