205 ENGINEERING MECHANICS
Unit 1
Statics Of Particles and Rigid Bodies: Fundamental laws of mechanics, Principle of
transmissibility, System of forces, Resultant force, Resolution of force, Moment and Couples,
Varignon's Theorem, Resolution of a force into a force and a couple, Free body diagram,
Equilibrium, Conditions for equilibrium, Lami's theorem.
Virtual work: Principle of Virtual Work, Active forces and active force diagram.
Unit 2
Centroid & Moment of Inertia: Location of centroid and center of gravity, Moment of inertia,
Parallel axis and perpendicular axis theorem, Radius of gyration, M.I of composite section, Polar
moment of inertia, M.I of solid bodies.
Lifting Machines: Mechanical advantage, Velocity Ratio, Efficiency of machine, Ideal machine,
Ideal effort and ideal load, Reversibility of machine, Law of machine, Lifting machines; System
of Pulleys, Simple wheel and axle, Wheel and differential axle, Weston’s differential pulley
block, Worm and worm wheel, Single purchase winch crab.
Unit 3
Friction: Types of Friction, Laws of friction, Angle of friction, Angle of repose, Ladder, Wedge,
Belt Friction.
Belt Drive: Types of belts, Types of belt drives, Velocity ratio, Effect of slip on Velocity ratio,
Length of belt, Ratio of tensions and power transmission by flat belt drives.
Unit 4
Kinematics of Particles and Rigid Bodies: Velocity, Acceleration, Types of Motion, Equations of
Motion, Rectangular components of velocity and acceleration, Angular velocity and Angular
acceleration, Radial and transverse velocities and accelerations, Projectiles motion on plane and
Inclined Plane, Relative Motion.
Kinetics of Particles and Rigid Bodies: Newton's laws, Equation of motion in rectangular
coordinate, radial and transverse components, Equation of motion in plane for a rigid body,
D'Alembert principle.
Unit 5
Work, Energy and Power: Work of a force, weight, spring force and couple, Power, Efficiency,
Energy, Kinetic energy of rigid body, Principle of work and energy, Conservative and Nonconservative
Force, Conservation of energy.
Impulse and Momentum: Linear and angular momentum, Linear and angular impulse, Principle
of momentum for a particle and rigid body, Principle of linear impulse and momentum for a
particle and rigid body, Principle of angular momentum and Impulse, Conservation of angular
momentum, Angular momentum of rigid body.
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