Static Equilibrium Problem involving Moments

In summary, the conversation pertains to solving equations for a static equilibrium question involving net torque and net force. The first equation is that the net force on the x-axis must be zero, while the second equation is that the net torque is also zero. Solving these equations with two unknowns will give the desired result. The conversation also mentions not getting involved with the forces along the line of the 80Kg rod and clarifies the x-axis and y-axis components of the forces involved.
  • #1
Anil Radhakrishnan
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0
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Equations: Net torque=0=Net force
I believe this is a static equilibrium question but can't figure out how to do it
 
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  • #2
The net force on the x-axis must be zero. What equation can you make from this fact?

Also the net torque is zero. Take the torques around the A point. What equation can you make?

Solving these two equations with two unknowns (F_x and the force from cable ) will get you the result.
 
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Likes Anil Radhakrishnan
  • #3
New%20Doc%2014_1.jpg

this is what i have split the forces as till now,
somehow i can't get them to cancel
 
  • #4
You get involved with the forces along the line of the 80Kg rod, that's not what you should do, the x-axis is not the line of the 80Kg rod, the first picture at OP shows which are the x -axis and the y-axis.

In the y-axis you got the weights of the rod and the mass m, 80Kg and 10Kg respectively (and the F_y component of the force from wall at A).
In the x-axis you got F_x and the tension T from the cable.
 
  • #5
Delta² said:
You get involved with the forces along the line of the 80Kg rod, that's not what you should do, the x-axis is not the line of the 80Kg rod, the first picture at OP shows which are the x -axis and the y-axis.

In the y-axis you got the weights of the rod and the mass m, 80Kg and 10Kg respectively (and the F_y component of the force from wall at A).
In the x-axis you got F_x and the tension T from the cable.
ah got it thank you
 

1. What is static equilibrium?

Static equilibrium refers to a state where an object is at rest and experiencing no changes in its motion. It occurs when the sum of all forces acting on the object is equal to zero and the sum of all torques acting on the object is also equal to zero.

2. What is a moment in relation to static equilibrium?

A moment is a turning effect caused by a force acting on an object at a certain distance from a fixed point. In the context of static equilibrium, moments are used to determine the distribution of forces and their effects on an object.

3. How do you calculate moments in a static equilibrium problem?

To calculate moments, you must multiply the magnitude of the force by its distance from the pivot point. The direction of the moment is determined by the direction of the force, with counterclockwise moments being considered positive and clockwise moments being considered negative.

4. What are the conditions for static equilibrium?

The conditions for static equilibrium are that the sum of all forces acting on the object must be equal to zero, and the sum of all torques acting on the object must also be equal to zero. This means that the object will not move or rotate unless an external force is applied.

5. How can you apply the principles of static equilibrium to solve real-world problems?

The principles of static equilibrium can be applied to solve a variety of problems in engineering, physics, and other fields. For example, they can be used to analyze the stability of structures, determine the forces acting on a bridge or building, or design machines and other mechanical systems. By understanding static equilibrium, scientists and engineers can create safer and more efficient structures and devices.

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