Subject: Mechanics 3
(17 -
M201) Basic Information
Course specification
Course is active from 06.10.2005.. Developing abstract intelligence for understanding dynamics and dynamical processes, as well as acquiring basic knowledge in dynamics as a fundamental field in mechanical engineering in everyday practice. Acquired knowledge is used by students in further education, as well as in their own practice after graduating. Laws on dynamics. Types of forces. Tasks of dynamics. Differential equations for point motion. First integrals. Impulse, work, power and potential force energy. General laws on point dynamics. Stability of balanced point position. Properties of point motion in the field of central force. Point motion in the field of gravity force. Relative point motion. Point motion on smooth, rotational and immovable surface in the field of Earth`s gravity. Point motion on a line. Dynamics of the material point systems. Force classification. Equations on motion. General laws on the material system dynamics. Dynamics of the changeable mass point. Mescherski equation. Tsiolkovsky equation. Dynamic system torsor. D`Alamber`s principle. Work of internal forces of a rigid body. Work of couplings and moment of force. Translatory body motion. Moment of inertia. Steiner theorem. Moment of inertia in relation to a random axis. Centrifugal moment of inertia. Ellipsoid of inertia. Main and main central axis of inertia. Body rotation around an immovable axis. Plain motion of a rigid body and the rigid body system. Body rotation around immovable point. Approximate gyroscope theorem. Real and virtual motion. Ideal connections. Lagrange-D`Alamber principle. Generated coordinates. Generated forces. Lagrange equations of the second type. Lagrange function. Cyclic coordinate. Stability of the relative system balance. Fundamentals in the impact theory for a material point. Impact of the material point systems. Lagrange equations of the second type in impact. Lectures are auditory for all students, practice are held in smaller groups.
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