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Lecturer(s)
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Janková Blanka, Ing. Ph.D.
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Course content
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1) Fundamentals of statics (force, moment, work, power). Principle of moments/Varignon's theorem. Basic theorems of statics. 2) Concurrent force systems. Equilibrium of a particle in 2D (with/without friction). Free-body diagrams. 3) Kinematics of a particle (linear and curvilinear motions). 4) Dynamics of a mass particle. D'Alembert's principle and theorems on the motion of a mass particle. 5) Elementary oscillation theory of linear systems with a single degree of freedom. Free and forced vibrations. 6) Non-parallel and parallel coplanar force systems. Center of mass. Equilibrium of a rigid body in 2D (basic kinemtic pairs/joints, with/without friction). 7) Equilibrium of a rigid body in 2D - analytical and graphical methods. Distributed loadings. 8) Planar kinematics of a rigid body (translation, rotation about a fixed axis, general plane motion). Relative-motion analysis using translating axes (basic decomposition). 9) Instantaneous centre of zero velocity/instant centre of rotation, fixed and moving centrodes. Relative-motion analysis using rotating axes (general decomposition). 10) Dynamics of a rigid body (translation, rotation about a fixed axis, general plane motion). 11) Basic planar systems of rigid bodies (linkages). Equilibrium of a system of rigid bodies - analytical and graphical methods. 12) Planar kinematics of a system of rigid bodies - analytical and graphical methods. 13) Dynamics of a system of rigid bodies. Free-body diagrams. Energy methods.
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Learning activities and teaching methods
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- Undergraduate study programme term essay (20-40)
- 25 hours per semester
- Contact hours
- 65 hours per semester
- Preparation for an examination (30-60)
- 50 hours per semester
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| prerequisite |
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| Knowledge |
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| - good understanding of vector calculus |
| - fundamentals of vector analysis |
| - good knowledge of trigonometry and linear algebra |
| - fundamentals of differential and integral calculus |
| - basic knowledge on linear differential equations |
| Skills |
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| - ability to calculate the dot and cross products of two vectors |
| - ability to solve basic trigonometric problems |
| - ability to calculate the derivatives and integrals of elementary functions |
| - ability to solve basic linear differential equations |
| Competences |
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| N/A |
| N/A |
| - ability to search and process information from various sources, creative use of information for his/her study and work - ability to propose and verify hypotheses, use of various approaches for the solution of problems and verification of hypotheses - ability to effectively use all available means of communication, verbal and non-verbal, including symbolic and graphic expressions of information of various types |
| learning outcomes |
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| Knowledge |
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| - understanding the principles of statics of a particle, rigid body and their systems |
| - understanding the principles of kinematics of a particle, rigid body and their systems |
| - knowledge on how to define fundamental quantities such as momentum, angular momentum, kinetic energy and moment of inertia |
| - ability to identify the effects of inertia on a rigid body undergoing translation, rotation and general plane motion |
| - ability to describe the principles of free-body diagrams and energy methods |
| - ability to classify free and forced vibrations of single-degree-of-freedom systems |
| Skills |
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| - ability to analytically and graphically solve equilibrium problems involving particles, rigid bodies or their systems (with and without friction) |
| - ability to analytically and graphically solve problems of planar kinematics involving particles, rigid bodies or their systems |
| - ability to solve dynamics problems involving the motion of a mass particle and the translation, rotation and general plane motion of a rigid body |
| - ability to demonstrate the use of free-body diagrams and energy methods for the solution of selected problems |
| - ability to solve free and forced vibrations of damped and undamped linear systems with a single degree of freedom |
| Competences |
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| N/A |
| N/A |
| - ability to make independent and responsible decisions on the basis of a frame assignment - ability to clearly and convincingly inform experts and laymen about the nature of particular problems and the proposal of methods for their solution |
| teaching methods |
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| Knowledge |
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| Interactive lecture |
| Self-study of literature |
| Skills |
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| Interactive lecture |
| Practicum |
| Competences |
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| Task-based study method |
| Individual study |
| assessment methods |
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| Knowledge |
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| Seminar work |
| Combined exam |
| Skills |
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| Seminar work |
| Combined exam |
| Competences |
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| Seminar work |
| Combined exam |
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Recommended literature
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Beer, Ferdinand P. Vector mechanics for engineers : statics and dynamics. 7th ed. New York : McGraw-Hill, 2004. ISBN 0071218289.
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Hibbeler, R. C. Engineering mechanics : dynamics. 11th ed. Singapore : Prentice Hall, 2007. ISBN 978-0-13-203809-6.
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Hibbeler, Russell C. Engineering mechanics. Statics / R.C. Hibbeler. 11th ed. Upper Saddle River : Prentice Hall, 2006. ISBN 0-13-221500-4.
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Nelson, E. W.; Best, Charles L.; McLean, W. G.; Potter, Merle C. Statics. 2010. ISBN 978-0-07-163237-9.
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Norton, Robert L. Design of machinery : an introduction to the synthesis and analysis of mechanisms and machines. cop. 1992. New York : McGraw-Hill, 1992. ISBN 0-07-909702-2.
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Uicker, John Joseph.; Shigley, Joseph Edward,; Pennock, Gordon R. Theory of machines and mechanisms. 4th ed. New York : Oxford University Press, 2011. ISBN 978-0-19-537123-9.
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