Question about when calculating the combined vector

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In summary, the combined vector in the given scenario is equal to the net force or resultant force, as the moment does not play a role in it. When calculating a moment relative to any point, it should simply be added to the resultant force.
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  • #2
What do you mean by "combined vector"? Do you want to calculate the sum of all forces (I assume they are forces) at that point?
 
  • #3
I mean "net force" or "resultant force"
 
  • #4
In that case, the quantity would just as you wrote be given by the linear forces. Torque is given by length times force, and length would be equal to zero for the point you've shown on your picture.
 
  • #5
So yes, the resultant force remains exactly what you wrote, and the moment does not play a role in it.

Whenever you will calculate a moment relative to any point, you would simply add the moment to it.
 
  • #6
Thank you! :smile: wasn't sure.
 

FAQ: Question about when calculating the combined vector

How do you calculate the combined vector of two vectors?

To calculate the combined vector of two vectors, you first need to determine the magnitude and direction of each vector. Then, use the rule of vector addition, which states that the combined vector is equal to the vector sum of the two original vectors. This means that you add the magnitudes of the two vectors and use the direction of the resultant vector.

What is the difference between adding and subtracting vectors?

Adding vectors involves finding the resultant vector by combining the magnitudes and directions of the original vectors. Subtracting vectors, on the other hand, involves finding the difference between the magnitude and direction of two vectors. This is done by reversing the direction of the second vector and then adding it to the first vector.

How do you represent a combined vector graphically?

A combined vector can be represented graphically by drawing the two original vectors on a coordinate plane and using the triangle method or parallelogram method to find the resultant vector. The magnitude and direction of the resultant vector can then be determined from the diagram.

Can you combine more than two vectors at a time?

Yes, you can combine any number of vectors at a time using the same principles of vector addition. This means finding the resultant vector by adding the magnitudes and directions of all the original vectors. You can use the triangle or parallelogram method to find the resultant vector graphically.

What is the significance of calculating the combined vector?

Calculating the combined vector is important in physics and engineering, as it allows us to determine the overall effect of multiple forces acting on an object. It also helps us to understand the direction and magnitude of a resultant force, which can be useful in designing structures and predicting the motion of objects.

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