Isn't the force calculated twice?

In summary, the force along AB is calculated twice in this scenario, once for the resultant force along OB and again for the resultant force along AC. This can be seen by considering the block as a framework of rods, with the vertex A experiencing tension along both AB and AD and the resultant force being F√2 along AO. The compression and tensile stress should then be ##\frac{F}{2a}##.
  • #1
arpon
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Isn't the force calculated twice here? For example, the force along AB is at first calculated for the resultant force along OB, then for the resultant force along AC.
I think the compression and tensile stress should be ##\frac{F}{2a}##.
 
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  • #2
arpon said:
Isn't the force calculated twice here? For example, the force along AB is at first calculated for the resultant force along OB, then for the resultant force along AC.
Forget that it is a solid block for the moment and think of it as a framework of rods. The vertex A is subject to tension F along AB and tension F along AD. The resultant is a force F√2 along AO.
 
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1. What is the force calculation method?

The force calculation method is a mathematical approach used to determine the magnitude and direction of a force acting on an object. This method takes into account various factors such as mass, acceleration, and friction to calculate the force.

2. Why is the force sometimes calculated twice?

The force may be calculated twice when there are multiple forces acting on an object in different directions. In order to accurately determine the net force on the object, each individual force must be calculated separately and then added together to find the total force.

3. How does calculating the force twice affect the final result?

If the force is calculated twice, the final result will be the sum of all the individual forces acting on the object. This is necessary because forces can cancel each other out or work together to produce a greater net force on the object.

4. Can the force be calculated more than twice?

Yes, the force can be calculated more than twice if there are multiple forces acting on an object in different directions. Each individual force must be calculated and added to the total force to determine the net force on the object.

5. How does Newton's third law of motion relate to calculating the force twice?

Newton's third law of motion states that for every action, there is an equal and opposite reaction. When calculating the force, this means that the force acting on one object is equal in magnitude but opposite in direction to the force acting on the other object. Therefore, in order to accurately determine the net force on an object, both forces must be calculated and added together.

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