One end of a uniform 4.10-m-long rod of weight Fg is supported by a cable at an angle of ? = 37° with the rod. The other end rests against the wall, where it is held by friction as shown in the figure below. The coefficient of static friction between the wall and the rod is ?s = 0.480. Determine the minimum distance x from point A at which an additional object, also with the same weight Fg, can be hung without causing the rod to slip at point A. ------m

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Chapter1: Units, Trigonometry. And Vectors
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One end of a uniform 4.10-m-long rod of weight Fg is supported by a cable at an angle of ? = 37° with the rod. The other end rests against the wall, where it is held by friction as shown in the figure below. The coefficient of static friction between the wall and the rod is ?s = 0.480. Determine the minimum distance x from point A at which an additional object, also with the same weight Fg, can be hung without causing the rod to slip at point A.

------m

 

The image illustrates a mechanical system involving a beam and a suspended mass. 

Description of the Diagram:

- **Structure**:
  - A horizontal beam is labeled as section \( AB \).
  - The beam is supported at point \( A \) by a vertical wall.
  - The beam forms an angle \( \theta \) with a tension cable that runs from point \( B \) to a fixed point above \( A \).

- **Suspended Mass**:
  - A mass is suspended from point \( A \) by a rope.
  - The gravitational force \( F_g \) acts on the mass downward.

- **Distance**:
  - The horizontal distance from point \( A \) to the position directly above the mass is labeled as \( x \).

The beam is supported by both the wall and the tension in the cable, while the gravitational force acts on the hanging mass. The system demonstrates concepts of equilibrium, where the forces and moments acting on the beam are balanced.
Transcribed Image Text:The image illustrates a mechanical system involving a beam and a suspended mass. Description of the Diagram: - **Structure**: - A horizontal beam is labeled as section \( AB \). - The beam is supported at point \( A \) by a vertical wall. - The beam forms an angle \( \theta \) with a tension cable that runs from point \( B \) to a fixed point above \( A \). - **Suspended Mass**: - A mass is suspended from point \( A \) by a rope. - The gravitational force \( F_g \) acts on the mass downward. - **Distance**: - The horizontal distance from point \( A \) to the position directly above the mass is labeled as \( x \). The beam is supported by both the wall and the tension in the cable, while the gravitational force acts on the hanging mass. The system demonstrates concepts of equilibrium, where the forces and moments acting on the beam are balanced.
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