Lecture 3 - Lecture 3 Notes courtesy of: Prof. Yoav Peles...

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Unformatted text preview: Lecture 3 Notes courtesy of: Prof. Yoav Peles ENGR-1100 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 2-47. (b) Express the force in Cartesian vector form. F=275 lb x y Figure 2-47 570 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 3-D 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.

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Lecture 3 - Lecture 3 Notes courtesy of: Prof. Yoav Peles...

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