The set of concurrent forces F₁ = 50 N, F₂ = 50 N, and F3 60 N are applied at particle A. The angles of the line of actions of F₁ and F2, a₁ = 0₂ = 40° (deg) with respect to the vertical line y, while the angle a3 of F3 with respect to the horizontal line x is 20º. Determine graphically the magnitude and direction of the sum of forces (resultant of the forces) at A using (1) the parallelogram law, and (2) the triangle rule.

The set of concurrent forces F₁ = 50 N, F₂ = 50 N, and F3 60 N are applied at particle A. The angles of the line of actions of F₁ and F2, a₁ = 0₂ = 40° (deg) with respect to the vertical line y, while the angle a3 of F3 with respect to the horizontal line x is 20º. Determine graphically the magnitude and direction of the sum of forces (resultant of the forces) at A using (1) the parallelogram law, and (2) the triangle rule.

International Edition---engineering Mechanics: Statics, 4th Edition

4th Edition

ISBN:9781305501607

Author:Andrew Pytel And Jaan Kiusalaas

Publisher:Andrew Pytel And Jaan Kiusalaas

Chapter1: Introduction To Statics

Section: Chapter Questions

Problem 1.38P: To move the oil drum, the resultant of the three forces shown must have a magnitude of 500 N....

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Concept explainers

Basic Terminology in Mechanics

The area of science and mathematics concerned the motion of the objects, the relation between the force matter, and motion if specified. Forces exerted over the objects result in displacements or changes in the position of an object concerning its environment. This branch of physics keeps its roots in Ancient Greece in the form of the scripts of Aristotle and Archimedes.

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The set of concurrent forces F₁ 50 N, F₂ = 50 N, and F3 60 N are applied at particle A. The
angles of the line of actions of F₁ and F2, 0₁ = α2 = 40° (deg) with respect to the vertical line
y, while the angle a3 of F3 with respect to the horizontal line x is 20º. Determine graphically the
magnitude and direction of the sum of forces (resultant of the forces) at A using (1) the parallelogram
law, and (2) the triangle rule.
α1
α2
α3

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