Gurantor department | Institute of Physics | Credits | 10 |

Subject guarantor | prof. RNDr. Richard Dvorský, Ph.D. | Subject version guarantor | prof. RNDr. Richard Dvorský, Ph.D. |

Study level | postgraduate | Requirement | Optional |

Year | Semester | winter + summer | |

Study language | Czech | ||

Year of introduction | 2003/2004 | Year of cancellation | 2012/2013 |

Intended for the faculties | HGF | Intended for study types | Doctoral |

Instruction secured by | |||
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Login | Name | Tuitor | Teacher giving lectures |

DVO54 | prof. RNDr. Richard Dvorský, Ph.D. |

Extent of instruction for forms of study | ||
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Form of study | Way of compl. | Extent |

Full-time | Examination | 20+0 |

Part-time | Examination | 20+0 |

To learn the basic concepts of theoretical mechanics according to the given curriculum.
To apply the knowledge acquired to basic examples and special tasks according to instructions of the person guaranteeing the subject.
To prepare the application of the mentioned knowledge according to the assignment of topic of PhD thesis.

Lectures

Individual consultations

The subject deals with kinematics and dynamics of systems of particles and a
solid body, differential mechanical principles, integral mechanical
principles, canonical equations and transformations, a solid body. Emphasis is
placed on the kinematics of rotational motion of solid body, dynamics of solid
body, such as the equivalence of systems of forces acting on a solid body,
Euler dynamic equations, the Lagrange function for a moving solid body.

1. Brdička, M. – Hladík, A.: Teoretická mechanika, Academia, Praha, 1987
2. Obetková, V. – Mamrillová, A. – Košinárová, A.: Teoretická mechanika, Alfa,
Bratislava 1990
3. Leech, J. W.: Klasická mechanika, SNTL, Praha 1970
4. Landau, L. D. – Lifšic, E. M.: Mechanika, Nauka, Moskva 1965

1. Kvasnica, J. a kol.: Mechanika, Academia, Praha 1988

individual and systematic study

Subject has no prerequisities.

Subject has no co-requisities.

0. Basic concepts of kinematics and dynamics of systems of particles and rigid bodies
1.Equations of motion of free particles and system of free particles in general
coordinates Lagrange equations of the second kind, a generalization forces, generalized
potential Lagrangian, conservative force, dissipative force.
2.Dynamics of bound particles and rigid bodies
The principle of relaxation, Lagrangian equations of the first kind, Lagrange equations
second kind for holonomic systems.
3.Differential mechanical principles
The principle of virtual work, reversible and irreversible shift, the equilibrium conditions
coupled mechanical systems.
D'Alembert's principle, the inertial force, d'Alembert principle of continuity
Lagrange equations of the first kind. Central Lagrange equation and its
write using the general momentum associated with Lagrange's equations
second kind. Differential variational principles: the principle of Gauss, Jourdainův
principle.
4.Integral mechanical principles
Hamilton's principle, Lagrange equations for invariance bodobých
transformations, first integrals Lagrange equations.
Maupertuisův principle Jacobi principle.
5.Canonical equations and transformation
Hamilton's equations, Hamilton's functions, Legendre transformation, derivation
canonical equations of Hamilton's principle, Poisson brackets.
Canonical transformations, invariants of canonical transformations. Hamilton-
Jacobi equation.
6.Rigid body
Kinematics of rotational motion of a rigid body: folding the final turn,
Euler angles, Euler kinematic equations. Dynamics of a rigid body:
equivalence system of forces acting on a rigid body, the center of the system
parallel forces, translational and rotational motion of a rigid body, tensor
inertia of a rigid body, Euler dynamic equations of rigid rotation
around a fixed point and a fixed axis, moving Lagrangian
rigid body.

Task name | Type of task | Max. number of points
(act. for subtasks) | Min. number of points |
---|---|---|---|

Examination | Examination |

Show history

Academic year | Programme | Field of study | Spec. | Zaměření | Form | Study language | Tut. centre | Year | W | S | Type of duty | |
---|---|---|---|---|---|---|---|---|---|---|---|---|

2010/2011 | (P1701) Physics | (1702V001) Applied Physics | P | Czech | Ostrava | Optional | study plan | |||||

2010/2011 | (P1701) Physics | K | Czech | Ostrava | Optional | study plan | ||||||

2010/2011 | (P1701) Physics | (1702V001) Applied Physics | K | Czech | Ostrava | Optional | study plan |

Block name | Academic year | Form of study | Study language | Year | W | S | Type of block | Block owner |
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