1CIV100: Mechanics Lecture NotesModule 1: Force & Moment in 2DBy: Tamer El-Diraby, PhD, PEng. Associate Prof. & Director, I2CUniversity of TorontoAcknowledgment: Hesham Osman, PhD and Jinyue Zhang, MASc., contributed to this moduleYou Know What to Do!
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2Module Objectives:•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 axis.–Know how to add 2 or more forces and find their resultant.•Graphically•Using Algebra –Understand the concept of vector, their addition and products.–Know how to develop free body diagram –Understand the concept of moment in 2D–Know how to transfer forces form one point to another in 2D–Understand the concept of Equilibrium Make sure to test your knowledge of these objectives before moving to module 2. Module 2 will take these concepts to a higher level The Module in a Nutshell: Forces as VectorsThe Nature of Force: –A Force has a direction (line of action & sense) and a value.–Forces are measured by N (not Kg)–Forces are added as geometrical vectors not arithmetic (scalar) values: •R = F1 + F2 + F3 ….. Fn–Forces are added by the parallelogram law–Forces are added by the triangle rule–The Unit Vector is used to express the direction of force:•F = Fxi+ Fyj+ FzkNever Use Kgto measure Force. It is measured by N.A Figure to Remember: the Unit VectorThe Unit Vector is just another way to express X, Y & Z