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# An Analysis of the Systems of Force in Newton's Laws

By possessing an understanding of Newtons Laws following these three laws of graphical solutions and understanding vector algebra you can solve most engineering static problems Systems of Force Systems of force acting on objects in equilibrium can be classified as either concurrent or nonconcurrent and as either coplanar or noncoplanar This gives us four general categories of systems The first category concurrent-coplanar forces occur when the lines of action of all forces lie in the same plane and pass through a common point Figure 1 illustrates a concurrent-coplanar force in such that F1 F2 and W all lie in the same plane the paper and all their lines of action have point O in common To determine the resultant of concurrent force systems you can use the Pythagorean theorem the law of sines or the law of cosines as outlined in the previous chapter Nonconcurrent-coplanar force is when the lines of action of all forces lie in the same plane but do not pass through a common point as illustrated in figure 2 The magnitude and direction of the resultant force can be determined by the rectangular component method using the first two equations in figure 2 and the perpendicular distance of the line of action of R from the axis of rotation of the body can be found using the third equation in figure 2 Concurrent-noncoplanar forces are when Application the lines of action of all forces pass through a common point and are not in the same plane To find the resultant of these forces it is best to resolve each force into components

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