Mechanics

Lecturer:

David Břeň (guarantor), Antonín Hoskovec

Tutor:

Jana Brotánková, Antonín Hoskovec, Juraj Kováč, Martin Malachov, Filip Petrásek, Stanislav Skoupý

Supervisor:

Department of Physics

Synopsis:

Introduction to physics, physical quantities and units. Particle kinematics, basic types of motion and their superposition. Particle dynamics, one-dimensional equations of motion, motion in central force field, forces in noninertial reference frames. Mechanics of system of free particles, two-body problem, collisions. Mechanics of rigid 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, impuls, 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:

Calculations of examples on:

1.Kinematics. Acceleration. Superposition of motions.

2.Newton´s laws, force, impuls, 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.

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] Ch. Kittel, Mechanics. McGraw 1965

Recommended references:

[2] Halliday, Resnick, Walker: Fundamentals of physics. J. Wiley 2001

Note:

Time-table for winter semester 2020/2021:

Time-table is not available yet

Time-table for summer semester 2020/2021:

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)