Machines and mechanisms: Kinematic pairs. Kinematic chains and mechanisms. Mobility analysis. Gruebler criteria and Aronhold-Kennedy Theorem. Kinematics analysis: Velocity and acceleration relationships (Rivals, Galilei, Coriolis). Graphical and analytical kinematics (four-bar linkages, slider-crank mechanisms, Fairbairn and Whitworth quick-return mechanisms). Statics and Dynamics: Freebody diagrams. Graphical force analysis. Statics equations. D'Alembert Principle and inertia forces. Moment of inertia and Huygens–Steiner theorem. Newton-Euler equations. Principle of Virtual Work. Kinetic energy and Konig theorem. Conservative force fields and potential energy. Conservation of mechanical energy. Friction forces and efficiency: Static and dynamic Coulomb friction. Wear and Reye principle. Rolling friction. Friction effect on the prismatic, revolute and screw kinematic pairs. Roller bearings. Brakes: Pad, disc, drum and band types. Kinematic and static analysis. Belt transmission systems: Pulleys and belts (flat and trapezoidal), transmission ratio, contact analysis and design. Hoist mechanisms: kinematic analysis and mechanical advantage. Applications to lifting cranes. Gears: Law of gearing. Spur and helical gears. Interference and minimum number of teeth. Continuity of motion. Bevel and worm gears. Forces analysis.
Gear trains. Mechanical vibrations: Single d.o.f. model and applications to mechanical systems. Free response and forced
response. Frequency response analysis. Resonance.
