![]() A top view of these three forces could be represented by the following diagram. (The object is the ring in the center of the force board or force table.) In this situation, two of the forces are acting in two-dimensions. Suppose that a force board or a force table is used such that there are three forces acting upon an object. Forces perpendicular to the plane of the force board are typically ignored in the analysis. Typically the experimenter adjusts the direction of the three forces, makes measurements of the amount of force in each direction, and determines the vector sum of three forces. The chains or cables exert forces upon the center ring in three different directions. Now we will see how that method applies to situations involving the addition of force vectors.Ī force board (or force table) is a common physics lab apparatus that has three (or more) chains or cables attached to a center ring. During that discussion, the head to tail method of vector addition was introduced as a useful method of adding vectors that are not at right angles to each other. Methods of adding vectors were discussed earlier in Lesson 1 of this unit. In this part of Lesson 3, the rules for adding vectors will be reviewed and applied to the addition of force vectors.Īnalyzing Three Forces to Determine the Net Force However, to use Newton's laws, common vector operations such as vector addition and vector resolution will have to be applied. For such situations, Newton's second law applies as it always did for situations involving one-dimensional net forces. In this unit, we will examine the effect of forces acting at angles to the horizontal, such that the force has an influence in two dimensions - horizontally and vertically. Now times have changed and you are ready for situations involving forces in two dimensions. Furthermore, when a free-body diagram analysis was performed, the net force was either horizontal or vertical the net force (and corresponding acceleration) was never both horizontal and vertical. There may have been both horizontal and vertical forces acting upon objects yet there were never individual forces that were directed both horizontally and vertically. In that unit, the forces acting upon objects were always directed in one dimension. ![]() ![]() In Unit 2 we studied the use of Newton's second law and free-body diagrams to determine the net force and acceleration of objects. ![]()
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