# Engineering Mechanics (2015)

## Topic outline

### CHAPTER 1 INTRODUCTION TO MECHANICS

· What is Mechanics?

· Fundamental Concepts and Principles

### Chapter 2 STATICS OF PARTICLE -FORCES IN A PLANE

• Force on a Particle - Resultant of 2 Forces

• Vectors and Addition of Vectors

• Resultant of Concurrent Forces

• Resolution of a Force into its Components

• Rectangular Components of a Force. Resultant of Forces by summing the components

Equilibrium of a Particle. Free-Body Diagram

### CHAPTER 3 STATICS OF RIGID BODIES IN TWO DIMENSIONS

*a)Equivalent Systems of Forces*· External and Internal Forces

· Principle of Transmissibility. Equivalent Forces

· Two - Dimensional Structures

· Moment of a Force about a Point

· Varignon's Theorem

· Moment of a couple

· Equivalent Couples

· Addition of Couples

· Resolution of a Given Force into a Force Acting at a Given Point and a Couple

· Reduction of a System of Coplanar Forces to One Force and One Couple.

· Resultant of a System of Coplanar Forces Equivalent Systems of Coplanar Forces

*b)Statics of Rigid Bodies in Two Dimensions : Equilibrium of Rigid Bodies*· Rigid Body in Equilibrium

· Free Body Diagram

· Reactions at Supports and Connections for a Two-Dimensional Structure

· Equilibrium of a Rigid Body. Free-Body Diagram

Equilibrium of Two-Force Bodies and Three-Force Bodies

### CHAPTER 4 DISTRIBUTED FORCES: CENTROIDS AND CENTERS OF GRAVITY

· Centroids and First Moment of Areas and Lines

· Composites Plates and Lines

· Theorems of Pappus-Guldinus

### CHAPTER 5 ANALYSIS OF STRUCTURE

· Definition of Truss. Simple Trusses

· Analysis of Trusses by the Method of Joints

· Analysis of Trusses by the Method of Sections

### CHAPTER 6 FRICTION

· Laws of Dry Friction.

· Coefficients and Angles of Friction

· Problems involving dry friction

· Wedges

### CHAPTER 7 KINEMATICS OF PARTICLES

*a)Rectilinear Motion of Particles*· Determination of the Motion of a Particle

· Uniformly Accelerated Motion

· Motion of Several Particles : Relative Motion, Dependent Motions

*b)Curvilinear Motion of Particles*· Position vector, velocity and acceleration

· Rectangular components of Velocity and Acceleration

· Tangential and normal components of Acceleration

· Relative Motion

*c)Kinetics of Particles**: Newton’s 2nd Law*· Newton’s Second Law of Motion

· Equations of motion

· Rectilinear motions

· Curvilinear motions

*d)Newton’s 2nd Law*· Newton’s Second Law of Motion

· Equations of motion

· Rectilinear motions

· Curvilinear motions

### Topic 8