Contents

• 1. Statics of Particles and Rigid Bodies

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  Introduction, Basic Quantities of Mechanics, System of Forces, Fundamental Laws of Mechanics, Resolution of Forces into Components, Equilibrium, Free Body Diagram, Lami's Theorem, Moment, Couple, Virtual Work, Principle of Virtual Work, Active Forces and Active Force Diagram.

   

  2. Centroid and Moment of Inertia

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  Introduction, Centre of Gravity, Centroid, Location of Centroid, Theorem of Pappus-Guldinus, Location of Centroids of Composite Sections, Moment of Inertia, Theorems of Moments of Inertia, Radius of Gyration, Polar Moment of Inertia, Moment of Inertia of Solid Bodies.

   

  3. Lifting Machines

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  Introduction, Basic Definitions, Ideal Machine, Ideal Effort, Ideal Load, Practical Machine, Reversibility of Machine, Law of Machine, Simple Pulleys, System of Pulleys, Simple Wheel and Axel, Wheel and Differential Axel, Weston’s Differential Pulley Block, Worm and Worm Wheel, Single Purchase Winch Crab.

   

  4. Friction

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  Introduction, Law of Friction, Angle of Friction, Angle of Repose, Cone of Friction, Ladder, Wedge Friction.

   

  5. Belt Drive

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  Introduction, Classification of Belts, Types of Flat Belt Drives, Velocity Ratio, Effect of Slip on Velocity Ratio, Length of Belt, Belt Friction, Power Transmission By Flat Belt Drives, Centrifugal Tension, Initial Tension.

   

  6. Kinematics of Particles and Rigid Bodies

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  Introduction, Some Basic Definitions, Types of Motion, Rectangular Components of Velocity and Acceleration, Angular Velocity and Angular Acceleration, Radial and Transverse Velocities and Accelerations, Projectile Motion, Projectile Motion on an Inclined Plane, Relative Motion.

   

  7. Kinetics of Particles and Rigid Bodies

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  Introduction, Newton's Laws of Motion, D'Alembert's Principle, Equation of Motion in Rectangular Coordinate, Radial and Transverse Components of Equation of Motion, Equation of Motion in a Plane for a Rigid Body.

   

  8. Work, Energy and Power

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  Introduction, Work Done by a Force, Power, Energy, Work-Energy Relation, Kinetic Energy of a Rigid Body, Conservative and Non-conservative Force, Conservation of Energy.

   

  9. Impulse and Momentum

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  Introduction, Principle of Linear Impulse and Momentum, Angular Impulse and Momentum, Principle of Momentum for a Particle and Rigid Body, Principle of Linear Impulse and Momentum for a System of  Particles, Principle of Angular Impulse and Momentum, Angular Momentum of Rigid Body.

   

  Papers.