# Static equilibrium, tension and compression

• Dietrichw
In summary, the conversation discusses a light truss that supports a downward force and has negligible weight. The piers at the ends are smooth and the beams are arranged in a triangular shape. The problem involves finding the contact forces and tension/compression of the beams. The solution involves using the net torque and lever arms. However, there are issues with the vector components and net force in the x direction. A figure was also mentioned, but it was not attached initially.
Dietrichw

## Homework Statement

The figure below shows a light truss formed from three struts lying in a plane and joined by three smooth hinge pins at their ends. The truss supports a downward force of
= 1 330 N applied at the point B. The truss has negligible weight. The piers at A and C are smooth.

The beams make a triangular bridge over a gap without friction at the joints or contact points to simplify it

For part A the Theta on the left is 29.5 and the right is 44.0, Find the contact forces on each side of the gap. I've done this.
The contact force on the left side is 491N
Right side is 839

For part B it asks for the tension or compression of the three beams.

## Homework Equations

Net torque for part A and using h/tan(theta) for the lever arms since lengths were not given

## The Attempt at a Solution

[/B]
I've tried looking at the vector component that is in line with the right side and that does not work. I tried the same with adding the part of the contact force that acts on the right beam. I though about net force but there aren't any in the x direction

No figure was attached.

SteamKing said:
No figure was attached.
sorry, forgot

## 1. What is static equilibrium?

Static equilibrium refers to a state in which all forces acting on a system are balanced, resulting in a stable and unchanging position. In other words, there is no net force or torque acting on the system, so it remains at rest or moves at a constant velocity.

## 2. What is tension?

Tension is a pulling force that is exerted by a stretched or compressed object. It is often described as a force that is transmitted through a rope, cable, or other type of connector. In the context of static equilibrium, tension can be present in a system when an object is being suspended or supported by one or more ropes or cables.

## 3. What is compression?

Compression is a pushing force that is exerted on an object, causing it to compress or become smaller in size. In the context of static equilibrium, compression can be present in a system when an object is being supported by a surface or structure that is pushing against it.

## 4. How do tension and compression affect static equilibrium?

Tension and compression are important forces to consider in static equilibrium because they can affect the stability and balance of a system. In order for a system to be in static equilibrium, all forces, including tension and compression, must be balanced and cancel each other out.

## 5. How do you calculate tension and compression in a system?

Tension and compression can be calculated using the principles of Newton's laws of motion. The magnitude of tension or compression can be determined by analyzing the forces acting on an object and setting them equal to each other to find the equilibrium point. It is also important to consider the direction and angle of the forces in order to accurately calculate tension and compression.

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