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However, in practical engineering applications not observing the correct sign amounts often to the difference between a well designed structure and a failing structure with possible loss of human life and/or millions of dollars.
The final step is then to add the three force components in the x-direction (no sweat here, that would be just adding/subtracting numbers) to get the x-component of the resultant.
Two of the forces have negative x-components ( cos(110) is negative as is cos(210) ).Two programs are available for you.Figure.1a 3 forces on a particle, let's have a look at Figure.1a.We need better tools!If it is not given, you must make a choice.My results are displayed in Figure.3b.The location of its origin and the alignment of its axes with the borders of the figure are arbitrary choices of mine.Please, do determine the value of the y-component of the resultant yourself.If the labels ( F1, F2, F3, and F4) are not given, you must label them.Apart from the difficulty of realizing which forces are acting on a given body and what can be said about each of these forces much confusion arises from some sign conventions which are unfortunately necessary.Here Rx comes out to be negative itself, meaning that the combined action of the forces is to pull to the left in minus x-direction (forgetting at the moment about what happens in the y-direction).
By the magnitude of a force (or force component) we mean the value of it stripped of its sign.
The problem statement itself will contain links to additional help and to the solution.
Both programs provide numerical as well as graphical output.In mathematics we know this also as the absolute value.Take Out Forever, a Series of photographs, in Korea, when we took out coffee from a coffee shop, we used to pay 50 won(about 5 cents) for the paper cup- as an 'environmental fee'.After that process, one cup was left.TopSec, topChapt, nextSec, in Figure.1a we now replace the force F1 by its x- and y-component and repeat this step for the two other forces involved.The determination of the resultant of three or more forces using strictly the Parallelogram Law in the form.Also, depending on the value of the angle one or both of the components might have a negative value, indicating that the component is pointing in the direction of the minus x-axis for example.Our task is now to develop a more efficient way to determine the magnitude and direction of the resultant of the three forces shown.But if the resultant itself is zero then all its components are zero!We interpret each of the three forces in Figure.1a as the resultant of two forces, one aligned.