Resolution of Forces
المؤلف:
GEORGE A. HOADLEY
المصدر:
ESSENTIALS OF PHYSICS
الجزء والصفحة:
p-56
2025-11-02
31
In the composition of forces, we have given the component forces to find the resultant, while in the resolution of forces the resultant is given and the components are to be found. When two components are to be found, the problem is to construct a parallelogram on the resultant as the diagonal, such that the desired components will be sides of the parallelogram. There are several cases of this problem, of which the following are the most important:
(a) Given, the resultant and one of two components, to find the other component (Fig. 1). Suppose the force P and one of its components Q are given, and it is required to find the
Fig.1
other component. Complete the parallelogram on Pas the diagonal and Q as one side (by connecting B and E, and drawing ED parallel to BA, and AD E parallel to BE). Then C will be the required component.
(b) Given, the resultant and the direction of each of two components, to find. the components. Let AB (Fig. 30) be the given resultant and AC and AD the directions of the required components. From B draw two lines, one parallel to AD and the other parallel to AC. Their intersections with AC and AD will determine the points E and F; and AE and AF will be the required components of AB.
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