Theory Of Machines

CONTENTS 1. Introduction ...1 7 1. Definition. 2. Sub-divisions of Theory of Machines. 3. Fundamental Units. 4. Derived Units. 5. Systems of Units. 6. C.G.S. Units. 7. F.P.S. Units. 8. M.K.S. Units 9. International System of Units (S.I. Units). 10. Metre. 11. Kilogram. 12. Second. 13. Presentation of Units and their Values. 14. Rules for S.I. Units. 15. Force. 16. Resultant Force. 17. Scalars and Vectors. 18. Representation of Vector Quantities. 19. Addition of Vectors. 20. Subtraction of Vectors. 2. Kinematics of Motion ...8 23 1. Introduction. 2. Plane Motion. 3. Rectilinear Motion. 4. Curvilinear Motion. 5. Linear Displacement. 6. Linear Velocity. 7. Linear Acceleration. 8. Equations of Linear Motion. 9. Graphical Representation of Displacement with respect to Time. 10. Graphical Representation of Velocity with respect to Time. 11. Graphical Representation of Acceleration with respect to Time. 12. Angular Displacement. 13. Representation of Angular Displacement by a Vector. 14. Angular Velocity. 15. Angular Acceleration 16. Equations of Angular Motion. 17. Relation between Linear Motion and Angular Motion. 18. Relation between Linear and Angular Quantities of Motion. 19. Acceleration of a Particle along a Circular Path. 3. Kinetics of Motion 1. Introduction. 2. Newton's Laws of Motion. 3. Mass and Weight. 4. Momentum. 5. Force. 6. Absolute and Gravitational Units of Force. 7. Moment of a Force. 8. Couple. 9. Centripetal and Centrifugal Force. 10. Mass Moment of Inertia. 11. Angular Momentum or Moment of Momentum. 12. Torque. 13. Work. 14. Power. 15. Energy. 16. Principle of Conservation of Energy. 17. Impulse and Impulsive Force. 18. Principle of Conservation of Momentum. 19. Energy Lost by Friction Clutch During Engagement. 20. Torque Required to Accelerate a Geared System. 21. Collision of Two Bodies. 22. Collision of Inelastic Bodies. 23. Collision of Elastic Bodies. 24. Loss of Kinetic Energy During Elastic Impact. (v) ...24 71 4. Simple Harmonic Motion ... 72 93 1. Introduction. 2. Velocity and Acceleration of a Particle Moving with Simple Harmonic Motion. 3. Differential Equation of Simple Harmonic Motion. 4. Terms Used in Simple Harmonic Motion. 5. Simple Pendulum. 6. Laws of Simple Pendulum. 7. Closely-coiled Helical Spring. 8. Compound Pendulum. 9. Centre of Percussion. 10. Bifilar Suspension. 11. Trifilar Suspension (Torsional Pendulum). 5. Simple Mechanisms ...94 118 1. Introduction. 2. Kinematic Link or Element. 3. Types of Links. 4. Structure. 5. Difference Between a Machine and a Structure. 6. Kinematic Pair. 7. Types of Constrained Motions. 8. Classification of Kinematic Pairs. 9. Kinematic Chain. 10. Types of Joints in a Chain. 11. Mechanism. 12. Number of Degrees of Freedom for Plane Mechanisms. 13. Application of Kutzbach Criterion to Plane Mechanisms. 14. Grubler's Criterion for Plane Mechanisms. 15. Inversion of Mechanism. 16. Types of Kinematic Chains. 17. Four Bar Chain or Quadric Cycle Chain. 18. Inversions of Four Bar Chain. 19. Single Slider Crank Chain. 20. Inversions of Single Slider Crank Chain. 21. Double Slider Crank Chain. 22. Inversions of Double Slider Crank Chain. 6. Velocity in Mechanisms (Instantaneous Centre Method) ...119 142 Velocity in Mechanisms (Relative Velocity Method) ...143 173 1. Introduction. 2. Space and Body Centrodes.