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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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Středová Doubravka, Ing. Ph.D.
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Tomek Petr, doc. 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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The aim of the course unit is to acquaint students with bases and principles of three branches of technical mechanics, i.e. statics, kinematics and dynamics.
After graduation of the subject student can solve equilibrium rigid bodies and systems of rigid bodies, can calculate coordinates of center of gravity areas, lines and volumes, can solve static excersises with passive resistances. Is able to determine kinematic magnitudes for moving point and rigid body, can set together and solve equations of motion of particles, rigid bodies and theirs systems, is acquainted with elementary theory of impact and has basic knowledge from oscillating discrete systems.
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Prerequisites
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An unconditional presumption of successful studies of the course is university knowledge of Mathematics, Physics and Geometry.
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Assessment methods and criteria
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Oral examination, Written examination
Student has to comprehend the principles of technical mechanics problems solving and to demonstrate it at exam. Other requirements will be told by the lecturer in the first week.
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Recommended literature
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Beer F. P., Johnston E. R., Mazurek D. F., Cornwell P. J., Eisenberg E. R. VECTOR MECHANICS FOR ENGINEERS - Statics and Dynamics. McGraw-Hill Companies, New York, 2009. ISBN 978-0-07-352940-0.
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