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Use the graphical output to visualize magnitude and direction of the resultant or equilibrium force changing one of the given forces. So, here is the problem as depicted in Figure 3. Broadcast pole I, 2-D Problem 3. Originally you know only the magnitudes N , N, N, and N and the orientations angles 50, 70, 30, and 15 degrees of the four forces. Three forces , F 1 , F 2 , and F 3 are shown acting on a particle A. Our task is now to develop a more efficient way to determine the magnitude and direction of the resultant of the three forces shown. The angle used as argument of the cosine function is always determined by going on an arc from the positive x-axis in counter-clockwise direction towards the force of which you want to determine the x-component. Our task is to find the resultant of these four forces, that is to find that single force which has the same action on particle A as the four given forces. For more information about the local heroes depicted above and others, please reach him at ceo saiops. Three points of interest: Three forces , F 1 , F 2 , and F 3 are shown acting on a particle A. Cornerstone Chapel Granger Rd. In general, problems as listed below require a multi-step approach which involves first the analysis and understanding of the problem, then writing out the mathematical equations to be used and finally solving these equations. The result is that we have replaced the original three forces by six new forces, of which three are aligned with the x-axis and three with the y-axis of our coordinate system. Formally we write this as: The value of the component of a force and later that of a force can be positive, negative, or zero. If it is not given, you must make a choice. To some of you it might seem silly to harp on sign conventions. Also, the dashed line 0B lies in both Figures in the x-y plane. Two of the forces have negative x-components cos is negative as is cos Its usefulness will become much more apparent and wide-spread in subsequent chapters.