M1-6 - A Reminder CIV100 Mechanics Module 1 Force and...

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1 CIV100 – Mechanics Module 1: Force and Moment in 2D by: Jinyue Zhang 2011/9/9 1 A Reminder 2011/9/9 2 Module Objective By the end of this Module you should be able to: Be familiar with the units used in this course Know the requirements regarding significant figures in this course. Know how to resolve a force in any 2 directions. Know how to add two or more forces and find their resultant. Graphically Using algebra Understand the concept of vector, their addition and product. Know how to develop a free body diagram Understand the concept of moment in 2D Understand the concept of Equilibrium 2011/9/9 3 General Principles In Chapter One, we will learn: – What is mechanics / statics? – Newton’s Laws – Working with International System (SI) units – Significant figures and rounding a calculated result 2011/9/9 4 What is Mechanics? Study of what happens to a “thing” (the technical name is body ”) when forces are applied to it. Either the body or the force could be large or small. Rocket - Large Crane – Medium Chronograph - Tiny 2011/9/9 5 Branches of Mechanics Statics Dynamics Rigid Bodies (Things that do not change shape) Deformable Bodies (Things that do change shape) Incompressible Compressible Fluids Mechanics It is the basis for the design and analysis of many engineering systems Many objects are designed with the intention that they remain in equilibrium
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2 2011/9/9 6 What…If… What may happen if statics is not applied properly? 2011/9/9 7 Basic Quantities Four fundamental physical quantities: – Length, Time, Mass, and Force – 3 basic units (m, s, kg) and 1 derived unit (N) Idealizations –P a r t i c l e – Rigid body – Concentrated force 2 s m kg N = To Remember 2 = W T 2011/9/9 8 Newton’s Laws First Law A particle originally at rest, or moving in a straight line with constant velocity, will remain in this state provided the forces applied on the particle is all balanced (the particle is in Equilibrium ) Second Law An unbalanced force F is applied to a particle having a mass m , then the particle has an acceleration a which satisfies Third Law The mutual forces of action and reaction between two particles are equal, opposite, and collinear. Weight: Newton s Law of Gravitational Attraction a F = a F = To Remember 2 2 s m kg s m kg N = = 2 2 1 r G F = 2 e mM W = mg = = g=9.81m/s 2 2 81 . 9 g = Universal constant of gravitation 2011/9/9 9 SI Units International System of units length: m , mm, km –t i m e : s mass: kg , g, Mg –f o r c e : N , kN, MN Some rules you need to know No Plurals (e.g., m = 5 kg not kgs ) Separate Units with a (e.g., meter second = m • s ) Most symbols are in lowercase ( some exception are N, Pa, M and G) Exponential powers apply to units , e.g., cm 2 = cm • cm Always represent the numbers in terms of their base or derived units by converting al prefixes to powers of 10.
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This note was uploaded on 12/10/2011 for the course CIV 100 taught by Professor Nahrvar during the Spring '08 term at University of Toronto.

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M1-6 - A Reminder CIV100 Mechanics Module 1 Force and...

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