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Problem: Three forces act on a ring. \(F_1 = 2\,\text{kN}\) along \(+x\) and \(F_2 = 3\,\text{kN}\) at \(135^\circ\). The resultant is 4 kN along \(+y\). Find \(\mathbf{F}_3\): its magnitude and its angle from \(+x\).
Reference materials
Engineering Mechanics: Statics
Vector Mechanics for Engineers: Statics
Engineering Mechanics: Statics
Engineering Mechanics: Statics
Engineering Statics: Open and Interactive
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Notes, problems and apps on the same topics
Add any number of coplanar forces by summing x and y components, and find an unknown force from a known resultant.
Find the resultant of two or more forces with the parallelogram law, the triangle rule and the laws of sines and cosines.
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Drag two or more forces and watch their resultant appear by the parallelogram, triangle or polygon rule, with the magnitude and direction worked out live.
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Build a force in space from its components, its three direction angles, two angles or two points, turn the 3D view with the mouse, and add several forces into one.
Start statics here: its basic models and principles, SI and U.S. units, and a five-step method for solving problems, with practice problems and unit converters.
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