[First Year Statics] Replace Force System

In summary, a force system is a group of forces that represent the overall effect on an object or structure. It may need to be replaced if the original forces are inaccurate or if the object is being redesigned. This is done by finding an equivalent force system using principles of force equilibrium and vector addition. Replacing a force system is important for more accurate analysis and redesigning without compromising stability. Common examples include finding resultant forces on structures, determining tension in cables, and calculating net forces on moving objects.
  • #1
lc99
161
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Homework Statement


upload_2018-2-18_14-3-6.png

Homework Equations

The Attempt at a Solution


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the force resultant = (100i +620j +800k) = 379 N
moment result is (100i-620j+800k) = 1017 which is not correct!

I calculated the moment of all forces about point O using cross product so...

(-3i + 2j) x (-200j) + (-3i +2j) x (-400i) +(3i +0.5k) x (120i +160k)

But, somehow, I am not getting 590 N*m which is the correct answer
 

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  • #2
Where are you getting (-3i + 2j)? There is no force present at that point
 

1. What is a force system?

A force system is a group of forces acting on an object or structure. It is used to represent the overall effect of all the forces on the object in a particular situation.

2. Why would a force system need to be replaced?

A force system may need to be replaced if the original forces acting on the object or structure are not accurate or if the object is being redesigned or repositioned.

3. How is a force system replaced?

A force system is replaced by finding an equivalent force system with the same overall effect on the object. This can be done by using principles of force equilibrium and vector addition.

4. What is the importance of replacing a force system?

Replacing a force system allows for more accurate analysis and understanding of the forces acting on an object or structure. It also allows for the object to be redesigned or repositioned without compromising its stability or structural integrity.

5. What are some common examples of replacing force systems?

Some common examples of replacing force systems include finding the resultant force on a bridge or building, determining the tension in cables supporting a structure, and calculating the net force on an object in motion.

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