Take P = 840 lb A)Determine the horizontal and vertical components of force that the pin C exert on member ECD of the frame. B)

Elements Of Electromagnetics
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Author:Sadiku, Matthew N. O.
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Take P = 840 lb

A)Determine the horizontal and vertical components of force that the pin C exert on member ECD of the frame.

B)Determine the horizontal and vertical components of force that the pin D exert on member ECD of the frame.

The image depicts a mechanical linkage system consisting of several members connected by pins at various points. The system is situated on a wall and operates in a plane, with the following described components and dimensions:

- Member \( AB \) is a vertical bar 3 feet in length, pinned at point \( A \) at the base on the wall. The bottom of this member is grounded to a base at point \( A \).
- Point \( B \) is 1 foot above the ground along member \( AB \).
- Member \( BD \) is a horizontal bar 2 feet in length, connecting point \( B \) on the vertical member to point \( D \) on the wall.
- Point \( D \) is 2 feet above the top of member \( BD \).
- Member \( CE \) is an angled bar 4 feet in length, connected from point \( C \) to point \( E \). Point \( C \) joins member \( BD \) at its midpoint.
- Distance \( x \) extends horizontally from point \( E \), 2 feet to the left of point \( C \).
- Distance \( y \) is the vertical component from point \( E \).

An external force, denoted as \( \mathbf{P} \), acts horizontally to the left at point \( E \).

This setup creates a two-force member scenario, often analyzed in statics for mechanical and structural problems. The diagram illustrates a classic example of pin-connected bars, ideal for studying force equilibrium and the interaction between rigid bodies.
Transcribed Image Text:The image depicts a mechanical linkage system consisting of several members connected by pins at various points. The system is situated on a wall and operates in a plane, with the following described components and dimensions: - Member \( AB \) is a vertical bar 3 feet in length, pinned at point \( A \) at the base on the wall. The bottom of this member is grounded to a base at point \( A \). - Point \( B \) is 1 foot above the ground along member \( AB \). - Member \( BD \) is a horizontal bar 2 feet in length, connecting point \( B \) on the vertical member to point \( D \) on the wall. - Point \( D \) is 2 feet above the top of member \( BD \). - Member \( CE \) is an angled bar 4 feet in length, connected from point \( C \) to point \( E \). Point \( C \) joins member \( BD \) at its midpoint. - Distance \( x \) extends horizontally from point \( E \), 2 feet to the left of point \( C \). - Distance \( y \) is the vertical component from point \( E \). An external force, denoted as \( \mathbf{P} \), acts horizontally to the left at point \( E \). This setup creates a two-force member scenario, often analyzed in statics for mechanical and structural problems. The diagram illustrates a classic example of pin-connected bars, ideal for studying force equilibrium and the interaction between rigid bodies.
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