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Lecturer(s)
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Kout Jan, doc. Ing. CSc.
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Hába Aleš, Ing. Ph.D.
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Course content
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Introduction to theoretical mechanics; introduction to statics; position vector; force; moment of a force about a point; moment of a force about an axis. The basic tasks with the forces; fundamental theorem of plane statics; replacement and equilibrium of the coplanar force system Particle and body in plane; centre of the parallel force system; centre of gravity of particle system; centre of gravity of body; centre of gravity of plane; centre of gravity of curve. Passive forces - sliding friction; rolling. Body systems - constraints, structural equation; analytic solution of equilibrium. Introduction to kinematics; position vector, velocity; acceleration; rectilinear motion of the point. Circular motion of the point; general curvilinear motion of the point. Motion of the body; Kinematics of the cylinder rolling. Introduction to dynamics; coordinate systems; Newton's and D'Alembert's principles of the motion equation compilation. The basic theorems of the particle motion dynamics. Rectilinear motion of the particle; curvilinear motion of the particle; particle system - motion equations; centre of mass; the basic theorems of the particle system motion dynamics. Dynamics of the rigid body - translation, rotation around permanent axis, moment of inertia, general plane motion, dynamics of the cylinder rolling. Dynamics of the body systems - method of gradual release; method of mass reduction.
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Learning activities and teaching methods
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Monologic (reading, lecture, briefing), Dialogic (discussion, interview, brainstorming)
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Learning outcomes
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Aim of the course unit is acquaint students with bases of statics of rigid bodies and theirs systems, with bases of kinematics of particle and rigid body and also with bases of dynamics of rigid bodies and theirs systems and with bases of single degree of freedom vibration of discrete models.
After graduation of the subject student regaining a basic knowledge from technical mechanics, can solve equilibrium of rigid bodies and theirs systems, can solve a basic simple examples of dynamics of rigid bodies and theirs systems inclusive of a simple cases of single degree of freedom vibration. Is ready for on appplication gained understandings to solving of a simple cases of technical practice.
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Prerequisites
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Unconditional presumption of successful studies of the subject is knowledge of thorough groundings from subjects: Mathematics I, Mathematics II, Principles physicists I and Geometry.
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Assessment methods and criteria
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Oral examination
The requirements will be defined by lecturer.
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Recommended literature
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Dedouch,K., Znamenáček,J., Radil,R. Mechanika III.Sbírka příkladů.. ČVUT Praha, 2000. ISBN 80-01-02199-1.
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Přikryl,K., Malenovský,E. Loprais,A. Úlohy z kinematiky. VUTIUM Brno, 1999.
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Stejskal, Vladimír. Mechanika III. Praha: Vydavatelství ČVUT, 1993. ISBN 80-01-00918-1.
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Stejskal, Vladimír. Mechanika I. Praha: České vysoké učení technické, 1998. ISBN 80-01-01888-1.
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Stejskal,V., Březina,J., Knězů,J. Mechanika 1.Řešené příklady.. ČVUT Praha, 1999. ISBN 80-01-01694-1.
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