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MECH 1 UC Parallelogram & Triangle Law Presentation

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Mechanical Engineering
University of the Cordilleras
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COLLEGE OF ENGINEERING AND ARCHITECTURE UNIVERSITY OF THE CORDILLERAS MECH 1 STATICS OF RIGID BODIES MODULE 1: CONCURRENT FORCES ON A PLANE UNIT 2: PARALLELOGRAM LAW UNIT 3: TRIANGLE LAW Prepared by: Brian Jhay Guzman, CE, RMP, ME-1 UNIT LEARNING OUTCOMES In this unit, here are the following desired learning outcomes: ✘ Define composition and resolution of forces. ✘ Define the Parallelogram Law. ✘ Define the Triangle Law. 2 Discussion The process of reducing a force system to a simpler equivalent system is called composition. The process of expanding a force or a force system into a less simple equivalent system is called resolution. A component of a force is one of the two or more forces into which the given force may be resolved. The anti-resultant or equilibrant of a force system is the simplest force system that will balance the given system. 3 PARALLELOGRAM LAW The parallelogram law is the fundamental principle on which the composition and resolution of forces are based, The law may be stated as follows: “If from a point vectors are drawn representing in direction and magnitude two concurrent forces, and if a parallelogram is constructed having these vectors as sides, the diagonal of the parallelogram drawn from the point to the opposite vertex of the parallelogram is a vector that represents in direction and magnitude the resultant of two forces.” 4 TRIANGLE LAW The triangle law is corollary of the parallelogram law. The law may be stated as fol ...
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