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Lecture 3 - ENGR-1100 Introduction to Engineering Analysis...

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Lecture 3 Notes courtesy of: Prof. Yoav Peles ENGR-1100 Introduction to Engineering Analysis
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Lecture outline Forces as vectors Resultant of two concurrent forces Resultant of three or more concurrent forces Resolution of force into components
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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
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x y F θ Force representation x y F 6m 5m x y z θ x θ y θ z F x y z F 7 m 5 m 4 m Two dimensions Three dimensions
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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
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Forces classification Contact or surface forces Example: push or pull Body forces Example: gravitational forces, magnetic forces
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Concurrent forces A force system is said to be concurrent if the action lines of all forces intersect at a common point
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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
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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)
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Class assignment: Determine the x and y scalar components of the force
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