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:
- Free-body 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 degree-of-freedom (d.o.f.) model and applications to mechanical systems;
- Free response and forced response;
- Frequency response analysis;
- Resonance.
