Chapter 2 Force Vectors - CTMD OUM2章力向量- CTMD乌姆.pptVIP

Pengenalan Kepada Pangkalan Data STATICS TUTORIAL 1 2– UNIT 1: Force and Equilibrium Chapter 2: Force Vectors SEQUENCE OF CHAPTER 2 Introduction Objectives 2.1 Force in a plane 2.1.1 Resultant of 2 forces acting on a particle 2.2 Vectors 2.3 Vector operations 2.3.1 Addition of vectors 2.3.2 Vector subtraction 2.3.3 Resolution of vector 2.4 Addition of a system of coplanar forces 2.4.1 Scalar notation 2.4.2 Cartesian vector notation 2.4.3 Coplanar force resultants 2.5 Cartesian vectors 2.5.1 Right-handed coordinate system 2.5.2 Cartesian unit vectors 2.5.3 Cartesian vector representation 2.5.4 Magnitude of a cartesian vector 2.5.5 Direction of a cartesian vector 2.6 Addition and subtraction of cartesian vectors 2.6.1 Concurrent force systems 2.7 Position vectors 2.7.1 x,y,z coordinates 2.7.2 Position vector 2.8 Force vector directed along a line 2.9 Dot product Summary Introduction The first phase of the chapter focuses on resultant forces, i.e. the combined forces (two or more forces) acting on particles having the same effect as the original forces. This resultant force is single force acting on the particle. All the forces acting on a given body is assumed to be applied at the same point. Objectives Explain the effect of forces acting on particles ; and Apply force vectors knowledge in solving problems related to statics. 2.1 Forces in a Plane 2.2 Vectors Summary Simple and straight forward task of resolving force vectors Vector addition and vector subtraction using the Parallelogram law. Practical examples of various engineering applications were presented to equip the students with better understanding of the chapter. Several more practical examples were given to show how to express the force and position in Cartesian vector form. The discussion was followed by the determination of the vector’s magnitude and direction. Thank You 2.5 Cartesian Vectors 2.5.5 Direction of a Cartesian Vector Provided A is expressed in Cartesian vector form,