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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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Homework Assignment (due next class) From Statics textbook (R&S): Problem 2-38 Problem 2-61 Problem 2-81
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
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
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
Two concurrent forces Two concurrent forces F and F acting on The two forces are vectorially added to get R R F F

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Three or more concurrent forces Again, vector addition rules: F + F + + F = R F 12 F F F F F 34 F 12 F 34 F 12 F F R
Example (a) Determine the x and y scalar components of the force shown in figure 2-47.

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

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