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Unformatted text preview: Lecture 3 Notes courtesy of: Prof. Yoav Peles ENGR1100 Introduction to Engineering Analysis Lecture outline Forces as vectors Resultant of two concurrent forces Resultant of three or more concurrent forces Resolution of force into components Characteristics of a force A force is characterized by the following: (1) Magnitude (2) Direction (3) Point of application F B F A F B x y F Force representation x y F 6m 5m x y z x y z F x y z F 7 m 5 m 4 m Two dimensions Three dimensions Principle of Transmissibility The external effect of a force on a rigid body is the same for all points of application of the force along its line of action (force is a sliding vector!) Push Pull Line of action Forces classification Contact or surface forces Example: push or pull Body forces Example: gravitational forces, magnetic forces Concurrent forces A force system is said to be concurrent if the action lines of all forces intersect at a common point Example (a) Determine the x and y scalar components of the force shown in figure 247. (b) Express the force in Cartesian vector form. F=275 lb x y Figure 247 570 Solution Fx = 275 cos(570) = 149.8 lb Fy = 275 sin(570) = 230.6 lb x F=275 lb y 570 Fy Fx F = Fx i + Fy j =(149.8 i + 230.6 j ) (lb) Class assignment: Determine the x and y scalar components of the force 3D rectangular components of a force x y z F F x=Fx i F z=Fz k F y=Fy j x y z F = F x + F y + F...
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This note was uploaded on 01/19/2012 for the course ENGR 1100 taught by Professor Anderson during the Fall '06 term at Rensselaer Polytechnic Institute.
 Fall '06
 Anderson

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