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Lecturer(s)
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Weber Michal, prof. Ing. Ph.D.
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Brychcín Jan, Ing. Ph.D.
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Course content
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1th week: Lecture - The scope of mechanics and its division. Kinematics of a mass point, rectilinear motion. Reverse motion - technical applications. Practice - Examination of uniform rectilinear, uniformly accelerated rectilinear and ununiform motion of a mass point. 2nd week: Lecture - Mass point motion on a circle. Curvilinear mass point motion in plane. Kinematics of planar rigid body motion, translation - parallelogram, rotation of a rigid body. Practice - Examination of curvilinear mass point motion in plane. Examination of rigid body translation. 3rd week: Lecture - General plane motion of a rigid body, basic decomposition (translation, rotation). Applications, examples. Practice - Examination of rotational rigid body motion. Examination of general plane rigid body motion considering the basic decomposition (translation, rotation). 4th week: Lecture - Pole of rigid body motion. Conjugate rigid body motions in plane, general decomposition. Applications, examples. Pole theorem. Practice - Application of general decomposition of general rigid body plane motion. Illustration of planar models of principle quadripartite mechanisms including animation of their motion. Examination of pole motion of these mechanisms using pole theorem. 5th week: Lecture - Principle theorems of statics - force and its determination, forces composition, force decomposition. Methods of funicular polygon. Moment of force to a point and an axis. Varignon's theorem. Force couple. Practice - Forces composition and force decomposition - analytically, graphically. Moment of a force to a point and an axis determination, usage of Varignon's theorem. 6th week: Lecture - Principle theorems of statics. Work and power of force and moment of a force. The planar force system of the same point of action. General planar force system. Conditions of replace, equilibrium and equivalence. Examples. Practice - Composition of force couples. Analytical and graphical solution of force systems in plane. Semestral work setting. 7th week: Lecture - System of parallel forces. Centre of mass, Pappus's centroid theorem. Examples. Practice - Evaluation of centre of mass, usage of Pappus's centroid theorem. 8th week: Lecture - Position and equilibrium of mass point in plane. Application, examples. Practice - Examination of mass point equilibrium in plane - the problem of statics, the problem of position. 9th week: Lecture - Position and equilibrium of rigid body in plane. Application examples. Practice - Examination of rigid body equilibrium in plane - analytical and graphical solution. 10th week: Lecture - Composition of plane rigid body systems. Illustration of chosen morepartite mechanisms motion simulation. Kinematical solution of planar mechanisms. Examples. Practice - Kinematical solution of planar mechanisms - analytical and graphical solution. 11th week: Lecture - Statical solution of stationary rigid bodies systems using the release method - analytical and graphical solution. Application on examples. Practice - Statical solution of stationary rigid bodies systems - analytical and graphical solution. 12th week: Lecture - Truss - method of joints. Application on examples. Practice - Statical solution of planar truss. 13th week: Lecture - Statical solution of planar mechanisms - analytical and graphical solution. Application on examples. Practice - Statical solution of planar mechanisms - analytical and graphical solution.
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Learning activities and teaching methods
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Lecture with practical applications, Practicum
- Undergraduate study programme term essay (20-40)
- 35 hours per semester
- Preparation for an examination (30-60)
- 55 hours per semester
- Contact hours
- 65 hours per semester
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| prerequisite |
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| Knowledge |
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| The student knows - principles of vector and matrix calculus - basic methods of differential and integral calculus |
| learning outcomes |
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| The student - is familiar with technical problems of a mass point, rigid body and rigid body systems plane mechanics, - defines the mass object degree of freedom in plane, - knows to solve the kinematics of principle mass point and rigid body motions, - understands the theory of force systems, - chooses the corresponding number of balance conditions by the mass point and rigid body statical solution in plane, - is able to determine the centre of mass position by the mass objects, - applies the principle analytical and graphical methods by the solution of mass point and rigid body mechanics, - knows to realize the kinematical solution of plane mechanisms (using analytical and graphical methods), - knows to solve the statics of plane rigid body systems using analytical and graphical methods, - is able to solve the principle problems from technical practice related to mass point, rigid body and rigid body systems plane mechanics. |
| teaching methods |
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| Practicum |
| Interactive lecture |
| assessment methods |
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| Combined exam |
| Seminar work |
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Recommended literature
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Hlaváč, Zdeněk; Vimmr, Jan. Sbírka příkladů ze statiky a kinematiky. 1. vyd. V Plzni : Západočeská univerzita, 2007. ISBN 978-80-7043-609-7.
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KŘEN, J. Řešené příklady z kinematiky. Skriptum ZČU v Plzni, 1986.
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KŘEN, J. Řešené příklady ze statiky. 2. vyd. Plzeň : ZČU, 1995. ISBN 80-7082-228-7.
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