MAE206-L05-Ch3

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North Carolina State University *

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206

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Aerospace Engineering

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Oct 30, 2023

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23

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MAE 206 Engineering Statics Lecture 5 Equilibrium of Particles Ch 3.1. Equilibrium of Particles in Two Dimensions Ch 3.2 Behavior of Cables, Bars, and Spring Prof. Mary Zadeh Assistant Teaching Professor in Mechanical and Aerospace Engineering Department Fall 2023 NC STATE i@ Let’s GO PACK I UNIVERSITY MAE 206 Fall 2023 Lecture 5 Prof. Zadeh
Ch.3.1 Page: 2 : y /’ /’ 4 MAE 206 Engineering Statics Ay ‘n = R S R 2, . & ! WA\ i o. 5 A\m ;‘\\_-.sh\ P s & Dijstri dfo(('e —= s ) & stribute \P’/'l, ‘\\ 30 Ctural Analvsis a“d N\ NC STATE i@ Let’s GO PACK I UNIVERSITY MAE 206 Fall 2023 Lecture 5 Prof. Zadeh o&‘es N EQUiIibrium ofb
Ch. 3.1 Announcement Page: 3 ®Quiz #1 (Ch. 1 & 2) " Due: Monday, Sep. 11 » Closed book/notes/formula sheet. " Calculator ®Exam 1 (Ch. 1-3) /you are restricted to solely\ = Monday, Sep. 25 using the equations and methods provided in the lecture notes. Any other equations or methods from ®Exam 3 (Ch. 7-9) external sources are not = Monday, Nov. 20 K permitted. / NC STATE i@ Let’s GO PACK I UNIVERSITY MAE 206 Fall 2023 Lecture 5 Prof. Zadeh ®Exam 2 (Ch. 4-6) " Monday, Oct. 23
h. 3. Lecture 5 Objectives g 4 ®Review free body diagram (FBD) ®Cables and Bars ®pPulleys ® Reactions NC STATE i@ Let’s GO PACK I UNIVERSITY MAE 206 Fall 2023 Lecture 5 Prof. Zadeh
cnep o . . . . Ch.3.1 Equilibrium of Particles in Two Dimensions Page: 5 ®In mechanics, a particle is an object whose mass is concentrated at a point. It is defined to have zero volume. ® An object that is small compared to other objects and/or dimensions in a problem may often be idealized as a particle. ®|f the lines of action of all forces intersect at a common point, this is called a concurrent force system. An object subjected to a concurrent force system may be idealized as a particle as shown in the figure. NC STATE i@ Let’s GO PACK I UNIVERSITY MAE 206 Fall 2023 Lecture 5 Prof. Zadeh
h. 3. Static Equilibrium oo 6 ®Static equilibrium means @ = 0. ® A particle is in static equilibrium if it has no motion (i.e., is at rest) or if it moves with constant velocity (i.e., has uniform speed and uniform direction). ®The conditions for equilibrium of a particle are, > F=0 or X F)i+ (ZF)=0 (@) or), ,b,=0 and X FE =0 (2) " Equation (1) states the condition for equilibrium in vector form. " Equation (2) states the conditions for equmbrlum m scalar form. NC STATE %@ Let's GO PACK | UNIVERSITY MAE 206 Fall 2023 Lecture 5 Prof. Zadeh
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