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Course info
KME / MECHB
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Course description
Department/Unit / Abbreviation
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KME
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MECHB
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Academic Year
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2023/2024
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Academic Year
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2023/2024
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Title
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Mechanics B
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Form of course completion
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Exam
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Form of course completion
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Exam
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Accredited / Credits
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Yes,
5
Cred.
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Type of completion
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Combined
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Type of completion
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Combined
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Time requirements
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Lecture
3
[Hours/Week]
Tutorial
2
[Hours/Week]
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Course credit prior to examination
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Yes
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Course credit prior to examination
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Yes
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Automatic acceptance of credit before examination
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Yes in the case of a previous evaluation 4 nebo nic.
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Included in study average
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YES
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Language of instruction
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Czech
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Occ/max
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Automatic acceptance of credit before examination
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Yes in the case of a previous evaluation 4 nebo nic.
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Summer semester
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0 / -
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0 / -
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0 / -
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Included in study average
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YES
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Winter semester
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6 / -
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2 / -
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0 / -
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Repeated registration
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NO
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Repeated registration
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NO
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Timetable
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Yes
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Semester taught
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Winter semester
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Semester taught
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Winter semester
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Minimum (B + C) students
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10
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Optional course |
Yes
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Optional course
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Yes
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Language of instruction
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Czech
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Internship duration
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0
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No. of hours of on-premise lessons |
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Evaluation scale |
1|2|3|4 |
Periodicity |
každý rok
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Evaluation scale for credit before examination |
S|N |
Periodicita upřesnění |
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Fundamental theoretical course |
No
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Fundamental course |
Yes
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Fundamental theoretical course |
No
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Evaluation scale |
1|2|3|4 |
Evaluation scale for credit before examination |
S|N |
Substituted course
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None
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Preclusive courses
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N/A
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Prerequisite courses
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N/A
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Informally recommended courses
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N/A
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Courses depending on this Course
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N/A
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Histogram of students' grades over the years:
Graphic PNG
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XLS
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Course objectives:
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The students are introduced to the solution of plane problems from mass point and rigid body kinematics and statics. The student will be further introduced with
- kinematical solution of plane mechanisms
- with statical solution of plane rigid body systems using the analytical and graphical methods.
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Requirements on student
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Credit requirements
The elaboration and delivery of the semestral work of adequate level.
Credit obtained in previous years of study is not accepted.
Exam requirements
Active knowledge of lectures and the capability to apply the acquired knowledge to the solution of concrete problems.
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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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Activities
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Fields of study
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Guarantors and lecturers
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Literature
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Time requirements
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All forms of study
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Activities
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Time requirements for activity [h]
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Undergraduate study programme term essay (20-40)
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35
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Contact hours
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65
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Preparation for an examination (30-60)
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55
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Total
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155
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Prerequisites
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Knowledge - students are expected to possess the following knowledge before the course commences to finish it successfully: |
The student knows
- principles of vector and matrix calculus
- basic methods of differential and integral calculus
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Learning outcomes
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Knowledge - knowledge resulting from the course: |
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.
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Assessment methods
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Knowledge - knowledge achieved by taking this course are verified by the following means: |
Combined exam |
Seminar work |
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Teaching methods
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Knowledge - the following training methods are used to achieve the required knowledge: |
Practicum |
Interactive lecture |
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