1) MEASURMENTS IN PHYSICS: Dimensional equation. Units of measurement. Numerical representation of physical quantities. Approximations in numerical calculations. Error propagations. Graphical representation of the relationships between variables. Accidental errors
2) MECHANICAL: Kinematics, reference systems, motion of a single point or of many points, rigid body. Newton's laws of motion. Momentum and angular momentum. Energy. Gravitation. Collisions.
Lecture notes, downloadable at http://studenti.fisica.unifi.it/ ~ a_perego /
Learning Objectives
Scientific attitude. Understanding of elementary physical processes. Ability to solve simple problems in physics. Knowledge of the problem concerning the measurement of physical quantities and the errors of measurement.
Prerequisites
Knowledge and application of the basic laws of logic. Knowledge of elementary algebra and ability to perform algebraic calculations. Elementary trigonometry. Study of functions. Practical meaning of derivative and integral. Ability to use integrals for the calculation of quantities of interest.
Teaching Methods
Lectures
Type of Assessment
Final exam consists of written and oral examination.
Course program
1) General concepts: experimental method, physical quantities and their measurement, time, length, mass measurement errors, error propagation, analysis dimenzionale.
2) Kinematic: Cartesian coordinate systems, cylindrical, spherical, trajectory, the position vector and displacement properties of vectors, operations with vectors, velocity and acceleration, acceleration components instrinseche; kinematics of degrees of freedom of a system, the rigid body; Galilean relativity, rigid body motion, rolling.
3) Dynamics of a particle: operational definition of strength and mass experiences that lead to Newton's laws, Newton's laws, constraints, and friction forces; integration of the equations of motion, non-inertial systems, turntables, the Earth as a system not interziale.
4) Dynamic systems: momentum and the first cardinal equation of dynamics, and the center of mass, moment of a force and angular momentum, the second cardinal equation of dynamics, angular momentum of a body rrigido, moment of inertia, and the second cardinal equation for a rigid body with a constant angular velocity in the direction; static mechanical systems.
5) Energy mechanical concept of mechanical work; theorem of kinetic energy and kinetic energy, conservative forces, potential energy, conservation of mechanical energy; study of motion through the potential energy theorem of König.
6) Gravitation: Kepler's laws, the derivation of universal gravitation by Kepler's laws, Newton's law of universal gravitation, gravitational mass and inertial experience of Cavendish, the two-body problem.
7) Shock: impulse of a force; properties of shock, collisions between two particles, examples of impact in mechanical systems, the ballistic pendulum, billiards.