||Friday, 12.00 – 14.00.
||Students gain knowledge about the concepts and mathematicall formulation of the laws of mechanics, which enables them to understand the mechanical phenomena in nature, as well as solving simple tasks.
|Content (Course curriculum)
||Introduction; definition and basic properties of the vector; addition of vectors; vector multiplication; mirroring; derivative and integral of a vector field; gradient; divergence and Gauss’s theorem; rotation and Stokes’ theorem; Laplace operator; cylindrical coordinate system; spherical coordinate system; velocity and acceleration in rectangular, cylindrical and spherical coordinate systems; circular motion; Newton’s axioms; inert and heavy mass; work, power, kinetic energy; conservative forces and potential energy, conservation of mechanical energy, impulse, torque and angular momentum, equilibrium of a particle; motion in a uniform force field: falling bodies and projectiles: attenuation; motion of charged particles in the Lorentz force field; free, damped and forced harmonic oscillator; resonance; two-dimensional harmonic oscillator; the mathematical pendulum; gravitational force, field, potential energy and potential; equations of motion for a particle in central foce field, potential energy, energy conservation, energy graph; equivalence of Kepler’s laws and the laws of gravity; virial theorem; time derivative of vectors in inertial and non-inertial systems, speed and acceleration in non-inertial systems; the equation of motion in non-inertial systems connected to the surface of the Earth; examples of motion in non-inertial systems connected to the surface of the Earth.
- Klasična mehanika, uvod – Glumac, http://gama.fizika.unios.hr/~zglumac/utm.pdf
- Teorijska mehanika – Z. Janković
- Theory and Problems in Theoretical Mechanics – M. Spiegel
- Classical Mechanics – Goldstein;
- Mehanika – D. Landau, E. M. LifšicTeorijska fizika i struktura materije – I. Supek;
- Mathematical Methods of Classical Mechanics – I. Arnold;
- Teorijska mehanika – M. Targ;
- A Guided Tour of Mathematical Physics – R. Snieder, http://samizdat.mines.edu/snieder/
||Lectures (30 hours) and auditory exercises (15 hours)
||Three preliminary exams (90 min.) during the semester (50% weighting) and oral exam (50% weighting), or
one 2-hour written examination (50% weighting) and oral exam (50% weighting).
||Croatian. English (mentoring students).
|Quality control and successfulness follow up
||Student survey. Permanent contact with students.