![]() ![]() An analysis of the horizontal components shows that the leftward component of A nearly balances the rightward component of B. The data in the table above show that the forces nearly balance. The magnitude and direction of each component for the sample data are shown in the table below the diagram. For vectors A and B, the vertical components can be determined using the sine of the angle and the horizontal components can be analyzed using the cosine of the angle. The diagram below shows vectors A, B, and C and their respective components. Once the components are known, they can be compared to see if the vertical forces are balanced and if the horizontal forces are balanced. This is what we expected - since the object was at equilibrium, the net force (vector sum of all the forces) should be 0 N.Īnother way of determining the net force (vector sum of all the forces) involves using the trigonometric functions to resolve each force into its horizontal and vertical components. Sample data for such a lab are shown below.įor most students, the resultant was 0 Newton (or at least very close to 0 N). (Recall that the net force is "the vector sum of all the forces" or the resultant of adding all the individual forces head-to-tail.) Thus, an accurately drawn vector addition diagram can be constructed to determine the resultant. Thus, if all the forces are added together as vectors, then the resultant force (the vector sum) should be 0 Newton. If the object is at equilibrium, then the net force acting upon the object should be 0 Newton. ![]() The object is a point on a string upon which three forces were acting. ![]() The state of the object is analyzed in terms of the forces acting upon the object. A common physics lab is to hang an object by two or more strings and to measure the forces that are exerted at angles upon the object to support its weight. If an object is at rest and is in a state of equilibrium, then we would say that the object is at "static equilibrium." "Static" means stationary or at rest. This too extends from Newton's first law of motion.
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