# Theory of Machines

Theory of Machines may be defined as that branch of engineering science, which deals with the study of relative motion between the various parts of machine, and forces which act on them. The knowledge of this subject is very essential for an engineer in designing the various parts of a machine They Theory of Machines may be sub- divided into the following four branches: 1) Kinematics: is that branch of theory of machines which is responsible to study the motion of bodies without reference to the forces which are cause this motion, i.e it’s relate the motion variables (displacement, velocity, acceleration) with the time. 2) Kinetics: is that branch of theory of machines which is responsible to relate the action of forces on bodies to their resulting motion. 3) Dynamics: is that branch of theory of machines which deals with the forces and their effects, while acting upon the machine parts in motion. 4) Statics: is that branch of theory of machines which deals with the forces and their effects, while the machine parts are rest.

### AboutTheory of Machines

Concept of Machines may be determined as that division of engineering scientific research, which manages the research of relative activity in between the various aspect of equipment, and forces which follow up on all of them. The knowledge of this subject matter is really crucial for an engineer in making a variety of components of a maker The subject matter is below- separated right into 4 branches; Kinematics: the branch of concept of equipment in charge of study of the motion of body systems without reference to the forces causing this activity; Kinetics: the branch of idea of machines responsible to associate the action of parts on body systems to their leading activity; Dynamics: the division of theory of machines that manages the forces and their results, while the device components remain in activity; Statics: the branch of theory of machines that handles the parts and their results, while the device parts are at remainder.

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Chapter 1

### Chapter-1 Simple Mechanisms

1.0 Theory of Machines Introduction

1.1  Kinematic Link or an Element and Kinematic Pairs

1.2  Classification of Kinematic Pairs

1.3  Kinematic Chains

1.4  Degree of Freedom

1.5  Kutzbach Equation and Gruibler's Criterion

1.6  Simple Mechanisms, its inversions and Grashof's law

1.7  Inversion of Single Slider Crank Mechanism

1.8  Inversion of Double Slider Crank Mechanism

1.9  Mechanical Advantage and Miscellaneous

Chapter 2

### Chapter-2 Velocity and Acceleration Analysis

2.1 Introduction to Instantaneous Center

2.2 Kennedy’s Theorem and Instantaneous Center Approach

2.3 Theorem of Angular Velocity

2.4 Relative Velocity Approach

2.5 Acceleration Analysis

Chapter 3

### Chapter-3 Gears and Gear Trains

3.1 Introduction and Classification of Gears

3.2 Gear Terminology and Law of Gearing

3.3 Involute Profile of Gear Teeth

3.4 Interference in Gears and Elimination of Interference

3.5 Cycloidal Profile of Gear Teeth

3.6 Gear Trains part-I

3.7 Gear Trains part-II

Chapter 4

### Chapter-4 Analysis of Single Slider Crank Mechanism

4.1 Kinematic & Dynamics Analysis and Offset Slider Crank Mechanism

2 videos

Chapter 5

### Chapter-5 Flywheel

5.1 Turning Moment Diagram and Principle of working of Flywheel

5.2 Fundamental Equation of Flywheel and Requirement of Flywheel for Multi cylinder Engine

5.3 Types of Flywheel and Flywheel in Punching Press

5.4 Chapter-5 GATE Questions

4 videos

Chapter 6

### Chapter-6 Governors

6.1 Introduction of Governors and Watt’s Governor

6.2 Porter and Proell Governor

6.3 Hartnell Governor and Physical Characteristics of Governors

6.4 Governor Controlling Force and Controlling Force Diagram

6.5 Standard Questions on Governors

Chapter 7

### Chapter-7 Balancing

7.1 Introduction and Static Balancing of Rotating Masses

7.2 Dynamic Balancing of Rotating Masses

7.3 Primary Balancing of Reciprocating Masses

7.4 Secondary Balancing of Reciprocating Masses and Role of Firing order in Balancing

7.5 Direct and Reverse Crank Method

7.6 Chapter-7 GATE Questions

Chapter 8

### Chapter-8 Mechanical Vibrations

8.1 Introduction of Vibrations and Natural Vibrations

8.2 Energy Method and Torque Method

8.3 Torsional Vibration and Religh’s Method

8.4 Damped Vibration Systems

8.5 Force Damped Vibration and Magnification Factor

8.6 Vibration Isolation, Transmissibility Ratio and Critical Speed of Shaft

8.7 Chapter-8 GATE Questions

Chapter 9

### Chapter-9 Cams and Followers

9.1 Introduction of Cams & Followers and their Classification

9.2 Cam Terminologies and Followers Derivatives

9.3 Types of Follower Motion

9.4 Standard Questions on Cams and Followers

Chapter 10

### Chapter-10 Gyroscope

10.1 Introduction of Gyroscope

10.2 Gyroscopic Effects for Aircraft and Ships

10.3 Gyroscopic Effect for a Power plant Shaft and Automobile

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