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Problem: A heavy machine is skidded along a straight guide rail by winch A, pulling with 6 kN at \(20^\circ\) to one side of the rail, and winch B, pulling with 5 kN at \(30^\circ\) to the other side. A third winch C keeps the resultant exactly along the rail while pulling as little as possible. Find the force of winch C and its direction, and the resultant of all three forces.
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.
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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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