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Statics of Particles


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Shown above is the world's largest single-dish radio telescope, located in Arecibo, Puerto Rico. The 305-m-diameter spherical reflecting dish covers an area of approximately 20 acres. Suspended above the reflector is a 900-ton platform below which is the 328-ft-long azimuth arm. In this chapter, we will learn that by considering the platform as a particle in equilibrium, it will be possible to determine the tensions in the supporting cables.


In this chapter, you will learn:
2.1Introduction
 Forces in a Plane
2.2Force on a Particle. Resultant of Two Forces
2.3Vectors
2.4Addition of Vectors
2.5Resultant of Several Concurrent Forces
2.6Resolution of a Force into Components
2.7Rectangular Components of a Force. Unit Vectors
2.8Addition of Forces by Summing x and y Components
2.9Equilibrium of a Particle
2.10Newton's First Law of Motion
2.11Problems Involving the Equilibrium of a Particle. Free-Body Diagrams
 Forces in Space
2.12Rectangular Components of a Force in Space
2.13Force Defined by Its Magnitude and Two Points on Its Line of Action
2.14Addition of Concurrent Forces in Space
2.15Equilibrium of a Particle in Space







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