Mechanics

Lecturer:

David Břeň (guarantor), Iskender Yalcinkaya

Tutor:

Michal Jex, David Břeň (guarantor), Jana Brotánková, Antonín Hoskovec, Tereza Lehečková, Martin Malachov, Jaroslav Novotný, Filip Petrásek, Šárka Salačová, Josef Schmidt, Stanislav Skoupý, Iskender Yalcinkaya

Supervisor:

Department of Physics

Synopsis:

ntroduction to physics, physical quantities and units. Particle kinematics, basic types of motion and theirsuperposition. Particle dynamics, one-dimensional equations of motion, motion in central force field, forces innoninertial reference frames. Mechanics of system of free particles, two-body problem, collisions. Mechanics ofrigid body, rotation. Fundamentals of continuum mechanics, elasticity, hydrodynamics. Sound.

Requirements:

Secondary school knowledges.

Syllabus of lectures:

1. Kinematics. Acceleration. Superposition of motions.

2. Newton ́s laws, force, impulse, work, power, energy.

3. One-dimensional motion, harmonic oscillator.

4. Resonance. Mathematical pendulum.

5. The field of central force. Kepler ́s problem.

6. Noninertial frames of reference, inertial forces.

7. Conservation of momenta and energy.

8. Two-body problem, collisions and scattering.

9. Rigid body, moment of inertia.

10. Gyroscopes, Euler ́s equations.

11. Fundamentals of continuum mechanics.

12. Elasticity, Hooke ́s law.

13. Equilibrium and motion of fluids, sound propagation.

Syllabus of tutorials:

Solving problems to illustrate the theory from the lecture

Study Objective:

Knowledge: to learn the basic of machanics, to solve simple equation of motion.

Skills: solving if simple equation of motion

Study materials:

Key references:

[1] D. Morin: Introduction to Classical Mechanics: With Problems and Solutions, Cambridge University Press, 2008

[2] J. R. Taylor: Classical Mechanics, University Science Books, 2005

[3] H. Goldstein, Ch. Polle and J.L. Safko, Classical Mechanics, Pearson Education Ltd., 2013

Recommended references:

[4] D. Halliday, D. Resnick, J. Walker: Fundamentals of Physics. J. Wiley 2001

Note:

Time-table for winter semester 2022/2023:

Time-table is not available yet

Time-table for summer semester 2022/2023:

Time-table is not available yet

The course is a part of the following study plans:

• BS Matematické inženýrství - Matematické modelování (compulsory course of the specialization)
• BS Matematické inženýrství - Matematická fyzika (compulsory course of the specialization)
• BS Matematické inženýrství - Aplikované matematicko-stochastické metody (compulsory course of the specialization)
• BS Matematická informatika (compulsory course of the specialization)
• BS Informatická fyzika (compulsory course of the specialization)
• BS jaderné inženýrství B (compulsory course of the specialization)
• BS Jaderné inženýrství C (compulsory course of the specialization)
• BS Dozimetrie a aplikace ionizujícího záření (compulsory course of the specialization)
• BS Experimentální jaderná a částicová fyzika (compulsory course of the specialization)
• BS Radiologická technika (compulsory course of the specialization)
• BS Inženýrství pevných látek (compulsory course of the specialization)
• BS Diagnostika materiálů (compulsory course of the specialization)
• BS Fyzika a technika termojaderné fúze (compulsory course of the specialization)
• BS Fyzikální elektronika (compulsory course of the specialization)
• Bc Laser Technology and Instrumentation (compulsory course of the specialization)
• BS Fyzikální technika (compulsory course of the specialization)
• BS Jaderná chemie (compulsory course of the specialization)