Mechanical Science I Pdf notes

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1.0 CHAPTER ONE: FORCES

• 1.1 INTRODUCTION
• 1.1.1 Effects of a force
• 1.1.2 Scalar and Vector Quantities
• 1.2 FORCE VECTORS
• 1.2.1 Force Systems
• Concurrent forces
• Collinear forces
• Coplanar forces
• 1.2.2 Vector Addition
• 1.3 RESULTATION AND RESOLUTION OF FORCES
• 1.3.1 Resolution into Perpendicular Components
• 1.3.2 The Resultant of Two Coplanar Forces
• 1.3.3 Analysis/Calculation Method of Resultation
• 1.4 STATEMENT AND APPLICATION OF THEOREMS OF FORCES
• 1.4.1 Parallelogram Theorem
• The Parallelogram of Forces Method
• 1.4.2 Triangle Theorem
• Triangle of Forces Method
• 1.4.3 Polygon Theorem
• Polygon of Forces Method
• 1.4.4 Coplanar Forces in Equilibrium
• Bow’s Notation
• 1.4.5 Lami’s Theorem
• 1.4.6 Equilibrant
• 1.5 SUMMARY
• EXTENDED ANSWER/KNEC SAMPLE QUESTIONS

2.0 CHAPTER TWO: MOMENTS OF FORCES

• 2.1. INTRODUCTION 2.1.1 Directions of Moments
• 2.1.2 Principle of Moments
• 2.2 EQUILIBRIUM AND CENTRE OF GRAVITY (CoG)
• 2.2.1 Stable Equilibrium
• 2.2.2 Unstable Equilibrium
• 2.2.3 Neutral Equilibrium
• 2.2.4 Factors Affecting Stability
• Area of Base
• Position of CoG
• 2.3 CALCULATION OF MOMENTS
• 2.4 CALCULATION OF REACTIONS
• 2.4.1 Single Load on Beam
• 2.4.2 Multiple Loads on Beams
• 2.4.3 Making Reactions at the Supports to be Equal
• Changing Position of Load
• Changing Magnitude of Load
• 2.5 VARIGNON’S THEOREM
• 2.6 COUPLES
• 2.6.1 Applications of Couples
• EXTENDED ANSWER/KNEC SAMPLE QUESTIONS

3.0 CHAPTER THREE: FRICTION

• 3.1 TYPES OF FRICTION
• 3.1.1 Dry Friction.
• 3.1.2 Fluid Friction
• 3.1.3 Internal Friction.
• 3.2 COEFFICIENT OF FRICTION
• 3.3 LAWS OF FRICTION
• 3.4 ANGLE OF FRICTION AND ANGLE OF REPOSE
• 3.4.1 Angle of Friction
• 3.4.2 Angle of Repose
• 3.4.3 Motion up a plane with the pulling P force parallel to the plane
• 3.4.4 Motion down a plane with the pulling force P parallel to the plane
• 3.4.5 Motion up a plane due to a horizontal force P
• 3.5 APPLICATIONS OF FRICTION
• 3.6 ADVANTAGES OF FRICTION
• 3.7 DISADVANTAGES OF FRICTION
• 3.8 INCREASING AND REDUCING FRICTION
• Increasing
• Reducing
• 3.8 SUMMARY
• EXTENDED ANSWER/KNEC SAMPLE QUESTIONS

4.0 CHAPTER FOUR: MOTION

• 4.1 INTRODUCTION/DEFINITIONS
• 4.1.1 Simple Calculations
• 4.2 NEWTON’S LAWS OF MOTION
• 4.2.1 Newton’s First Law of Motion (Law of Inertia)
• 4.2.2 Newton’s Second Law of Motion (Law of Momentum)
• 4.2.3 Newton’s Third Law of Motion (Action-Reaction Law)
• 4.3 GRAPHS OF MOTIONS
• 4.3.1 Displacement-Time Graph
• 4.3.2 Velocity-Time Graph
• 4.3.3 Acceleration-Time Graph
• 4.4 EQUATIONS OF MOTION
• 4.4.1 Linear Motion
• First equation
• Second equation
• Third equation
• Fourth equation
• 4.4.2 Motion under Gravity
• Free Fall
• Vertical projection
• Time of flight
• Maximum height reached
• Velocity to return to point of projection
• 4.4.3 Horizontal projection
• 4.4.4 Angular Motion (Uniform Circular Motion)
• The radian
• Angular velocity
• Angular acceleration
• Centripetal force
• Motion of Bicycle Rider Round Circular Track
• Motion of Car (or Train) Round Circular Track
• Motion in a vertical circle
• EXTENDED ANSWER/KNEC SAMPLE QUESTIONS

5.0 CHAPTER FIVE: ENERGY, WORK AND POWER

• 5.1 ENERGY
• 5.1.1 Potential Energy/Energy at Rest
• 5.1.2 Kinetic Energy/Energy of Motion
• 5.1.3 Conservation of Energy
• 5.1.4 Linear Momentum
• 5.1.5 Conservation of Linear Momentum
• 5.1.6 Elastic and inelastic collisions
• 5.2 WORK
• 5.2.1 Calculating Work
• 5.3 POWER
• EXTENDED ANSWER/KNEC SAMPLE QUESTIONS