Compute Force f from A, B & C Coordinates

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SUMMARY

The discussion focuses on computing the force vector f from the coordinates of points A, B, and C, with the additional point D being derived from the slope of line segment AB. The user establishes that segments AB and CD are parallel, allowing for the calculation of D's coordinates using the tangent of the angle θ that AB makes with the x-axis. The relationship is defined as (x, tan(θ) * x), where x can be adjusted based on the desired magnitude of the force f.

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  • Understanding of coordinate geometry
  • Knowledge of vector mathematics
  • Familiarity with trigonometric functions, specifically tangent
  • Basic principles of force and its representation in physics
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Students in physics or engineering, mathematicians working with coordinate systems, and anyone involved in force calculations in mechanics.

ktiniatros
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Hi,

I got a little rusty in the basics.. Need to compute the following force f.

I know the coordinates of A, B and C. Segments AB and CD are parallel. So I need to find to compute the coordinates D of the force f.PS: Don't mind of the size of the square, where the force is applied. I consider it as a spot, I don't care if it has size.
 

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OK, I found it. I am just writing it here for future reference for whoever has the same questrion..

Let's say that x and y are the coordinates of D. Then with some x, the y will be slope of AB multiplied by x. Or the tangent of the angle θ that AB makes with x-axis multiplied with x. So, in order to have such a force, you need a couple of (x,tan(θ)*x). You can set the value of x as big as you force f norm want to be.
 

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