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Problem: Two forces act on a hook. Their resultant must be 1 kN vertically downward. One force is 600 N at \(30^\circ\) below the horizontal, pointing to the right. Find the other force: its magnitude and its angle below the horizontal, pointing to the left.
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
Find the resultant of two or more forces with the parallelogram law, the triangle rule and the laws of sines and cosines.
Split a force into components along any two given directions, and see why oblique components are not projections.
Add any number of coplanar forces by summing x and y components, and find an unknown force from a known resultant.
Write a force by its x and y components, in scalar and Cartesian vector form, and get its magnitude and direction back.
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.
Add any number of forces in a plane with a clear component table and a force polygon, or find the force that is missing, that balances the others or that turns the resultant to a wanted direction.
Split a force into two parts along any two directions, perpendicular or not, or into x and y parts from an angle or a slope, with every step shown on the drawing.
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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