Subject description - A4B02FYZ

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 A4B02FYZ Physics for Informatics Extent of teaching: 2+2L Guarantors: Žáček M. Roles: P,V Language ofteaching: CS Teachers: Pekárek S., Žáček M. Completion: Z,ZK Responsible Department: 13102 Credits: 6 Semester: L

Anotation:

Within the framework of this course students gain the knowledge of selected parts of classical physics and dynamics of the physical systems. The introductory part of the course deals with the mass particle kinematics; dynamics, with the system of mass particles and rigid bodies. The students should be able to solve basic problems dealing with the description of mechanical systems. The introduction to the dynamics of the systems will allow to the students deeper understanding as well as analysis of these systems. The attention will be devoted namely to the application of the mathematical apparatus to the solution of real physical problems. Apart of this, the knowledge gained in this course will help to the students in the study of other disciplines, which they will meet during their further studies.

Course outlines:

 1 Units, system of units. Physical fields. Reference frames. 2 Particle kinematics (rectilinear motion, circular motion, motion in three dimensions. 3 Newton?s laws, inertial and non-inertial reference frames. Equations of motion in inertial and non-inertial reference frames. 4 Work, power, conservative fields, kinetic and potential energy. Conservation of mechanical energy law. 5 Newton´s law of universal gravitation, gravitational field of the system of n particles and extended bodies. Gravitational field intensity, potential. 6 Gravitational field outside and inside a spherical mass shell and homogeneous mass sphere. 7 Mechanical oscillating systems. Simple harmonic motion, damped and forced oscillations. Resonance of displacement and velocity. 8 System of n-particles, isolated and non-isolated systems, conservation of linear and angular momentum laws. Conservation of mechanical energy law for the system of n-particles. Center of mass and center of gravity. 9 Rigid bodies, equations of motion, rotation of the rigid body with respect to the fixed axis. Moment of inertia, Steiner?s theorem 10 Classification of dynamical systems (linear, nonlinear, autonomous, nonautonomous, conservative, continuous, discrete, one-dimensional, multidimensional, time-reversal, time-irreversal). Phase portraits, phase trajectory, fixed points, dynamical flow. Stability of linear systems. 11 Topological classification of linear systems (saddle points, stable and unstable spiral, stable and unstable node, center point). 12 Stability of nonlinear systems, Liapunov stability, limit cycles, bifurcation (Hopf, subcritical, supercritical, transcritical etc.), bifurcation diagram, Poincaré sections, attractors. 13 Deterministic chaos, Lorenz equations, strange attractor. 14 One-dimensional maps, Feigebaum numbers, the logistic equation, fractals.

Exercises outline:

 1 Introduction, safety instructions, laboratory rules, list of experiments, theory of errors - measurement of the volume of solids. 2 Uncertainties of measurements. 3 2nd Newton´s law and collisions. 4 Torsion pendulum, shear modulus and moment of inertia. 5 Measurement of the acceleration due to the gravity with a reversible pendulum and study of the gravitational field. 6 Young?s modulus of elasticity. 7 Forced oscillations - Pohl´s torsion pendulum. 8 Coupled pendulum. 9 Franck-Hertz experiment and measurement of excitation energy of the mercury atom. 10 Test. 11 Statistical distributions in physics. Poisson´s and Gauss´ distribution - demonstration using the radioactive decay. 12 Measurement of the speed of sound using sonar and acoustic Doppler effect. Diffraction of acoustic waves. 13 Test. 14 Grading of laboratory reports. Assessment.

Literature:

 1 Physics I, S. Pekárek, M. Murla, Dept. of Physics FEE CTU, 1992. 2 Physics I - Seminars, M. Murla, S. Pekárek, Vydavatelství ČVUT, 1995. 3 Physics II, S. Pekárek, M. Murla, Vydavatelství ČVUT, 2003. 4 Physics II - Seminars, S. Pekárek, M. Murla, Vydavatelství ČVUT, 1996. 5 Physics I - II, Laboratory manual, S. Pekárek, M. Murla, Vydavatelství ČVUT, 2002.

Requirements:

Knowledge of the differential and integral calculus of the function of one and more variables; linear algebra.

Webpage:

https://moodle.fel.cvut.cz/courses/A4B02FYZ

Subject is included into these academic programs:

 Program Branch Role Recommended semester BPOI1 Computer Systems P 4 BPOI_BO Common courses P 4 BPOI3 Software Systems P 4 BPOI2 Computer and Information Science P 4 BPKYR1 Robotics V 4 BPKYR_BO Common courses V 4 BPKYR3 Systems and Control V 4 BPKYR2 Sensors and Instrumentation V 4 BPKME1 Communication Technology V 4 BPKME5 Komunikace a elektronika V 4 BPKME_BO Common courses V 4 BPKME4 Network and Information Technology V 4 BPKME3 Applied Electronics V 4 BPKME2 Multimedia Technology V 4 BPEEM1 Applied Electrical Engineering V 4 BPEEM_BO Common courses V 4 BPEEM2 Electrical Engineering and Management V 4 BMI(ECTS) Manager Informatics V 4 BWM(ECTS) Web and Multimedia V 4 BIS(ECTS) Intelligent Systems V 4 BSI(ECTS) Software Engineering V 4

 Page updated 21.2.2020 17:51:44, semester: Z,L/2020-1, Z,L/2019-20, Send comments about the content to the Administrators of the Academic Programs Proposal and Realization: I. Halaška (K336), J. Novák (K336)