Theory of Machines

Classification of mechanisms; basic kinematic concepts; degree of freedom and mobility; Grashof's law; kinematic inversions of four-bar and slider-crank chains; Limit positions, mechanical advantage, transmission angle; Quick-return and straight-line mechanisms; universal joint; rocker mechanisms

Displacement, velocity and acceleration analysis of simple mechanisms; Graphical velocity analysis using instantaneous centers; Velocity and acceleration analysis using the relative velocity method; Coriolis component of acceleration

Principle of gyroscope; gyroscopic effect in aeroplane, ship, car and two-wheeler; Involute and cycloidal gear profiles; gear parameters; fundamental law of gearing and conjugate action; Spur gear contact ratio and interference/undercutting; Helical, bevel, worm, rack & pinion gears; epicyclic and regular gear train kinematics

Need for balancing; balancing of single and several masses in different planes (analytical and graphical); Cams and followers: classification, terminology and definitions; Displacement diagrams: uniform velocity, parabolic, simple harmonic and cycloidal motions; Derivatives of follower motions; specified contour cams; circular and tangent cams

Free natural vibrations; Newton and energy methods for single degree of freedom; Damped vibrations (under, critical and over damped); forced vibrations; vibration isolation and transmissibility; Turning moment diagrams for steam engine, IC engine and multi-cylinder engine; Crank effort; coefficients of fluctuation of energy and speed; flywheel and its design