r the position shown, the assembly of two identical iform rigid bars, each with a mass m and length / has a own angular velocity . Find the pin forces at A and the gular acceleration a at this instant. (Pardon the image tortion, the bend at B is 90°) B

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
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**Problem Statement:**

For the position shown, the assembly consists of two identical uniform rigid bars, each having a mass \( m \) and length \( l \). The system has a known angular velocity \( \omega \). Determine the pin forces at point \( A \) and the angular acceleration \( \alpha \) at this instant. (Note: The image has a distortion; the bend at \( B \) is \( 90^\circ \).)

**Diagram Explanation:**

The diagram illustrates a system composed of two connected rigid bars, forming a geometric shape similar to an "L" due to the \( 90^\circ \) bend at \( B \). 

- The horizontal bar \( AB \) extends to the right from the pin at \( A \).
- The vertical bar \( BC \) extends downward from the bend at \( B \).

Both bars have uniform mass distribution, each denoted by mass \( m \) and length \( l \). Point \( A \) is shown as a pivot point, indicating where the rotational motion originates. The structure suggests a combination of rotational and possibly translational dynamics in the system.
Transcribed Image Text:**Problem Statement:** For the position shown, the assembly consists of two identical uniform rigid bars, each having a mass \( m \) and length \( l \). The system has a known angular velocity \( \omega \). Determine the pin forces at point \( A \) and the angular acceleration \( \alpha \) at this instant. (Note: The image has a distortion; the bend at \( B \) is \( 90^\circ \).) **Diagram Explanation:** The diagram illustrates a system composed of two connected rigid bars, forming a geometric shape similar to an "L" due to the \( 90^\circ \) bend at \( B \). - The horizontal bar \( AB \) extends to the right from the pin at \( A \). - The vertical bar \( BC \) extends downward from the bend at \( B \). Both bars have uniform mass distribution, each denoted by mass \( m \) and length \( l \). Point \( A \) is shown as a pivot point, indicating where the rotational motion originates. The structure suggests a combination of rotational and possibly translational dynamics in the system.
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