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Course info
KME / DMECH
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Course description
Department/Unit / Abbreviation
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KME
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DMECH
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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 for Designers
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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,
4
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
2
[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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No
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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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No
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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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0 / -
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0 / -
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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 |
No
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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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KME/DZM
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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 the statical solution of plane rigid body systems using 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 specific problems.
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Content
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1th week:
Lecture - Why is the subject mechanics lectured for designers? The scope of mechanics and its division. Kinematics of a mass point, rectilinear motion.
Practice - Recapitulation of principle ideas from linear algebra and vector calculus, matrix, determinant, scalar multiplication, vector multiplication.
2nd week:
Lecture - Curvilinear mass point motion in plane. Kinematics of plane rigid body motion, translation.
Practice - Examination of uniform rectilinear and uniformly accelerated rectilinear motion of mass point.
3rd week:
Lecture - Rotation of a rigid body. General plane motion of a rigid body, basic decomposition (translation, rotation).
Practice - Mass point motion on a circle. Examination of curvilinear mass point motion in plane.
4th week:
Lecture - Principle theorems of statics - force and its determination, forces composition, force decomposition. Moment of a force to a point and an axis.
Practice - Examination of translational and rotational rigid body motion. Examination of general plane rigid body motion considering the basic decomposition (translation, rotation).
5th week:
Lecture - Varignon's theorem. Force couple. Principle theorems of statics.
Practice - Forces composition and force decomposition - analytically, graphically. Moment of a force to a point determination.
6th week:
Lecture - Theory of a force systems - conditions of replace, equilibrium and equivalence. The plane force system of the same point of action. General planar force system.
Practice - Moment of a force to an axis determination, usage of Varignon's theorem
7th week:
Lecture - System of parallel forces. Center of mass, Pappus's centroid theorem.
Practice - Analytical and graphical solution of force systems in plane.
8th week:
Lecture - Position and equilibrium of mass point in plane.
Practice - Evaluation of center of mass, usage of Pappus's centroid theorem.
9th week:
Lecture - Position and equilibrium of a rigid body in plane.
Practice - Examination of mass point equilibrium in plane - the problem of a force, the problem of position.
10th week:
Lecture - Composition of plane rigid body systems. Illustration of chosen mechanisms motion simulation. Kinematical solution of plane mechanisms.
Practice - Examination of rigid body equilibrium in plane - analytical and graphical solution.
11th week:
Lecture - Statical solution of stationary rigid bodies systems using the release method ? analytical and graphical solution.
Practice - Examination of rigid body equilibrium in plane - completion. Illustration of some mechanisms models. Semestral work setting.
12th week:
Lecture - Truss - method of joints. Application on examples.
Practice - Statical solution of stationary rigid bodies systems - analytical and graphical solution.
13th week:
Lecture - Statical solution of planar mechanisms - analytical and graphical solution.
Practice - Statical solution of planar truss.
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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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Contact hours
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52
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Preparation for an examination (30-60)
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55
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Undergraduate study programme term essay (20-40)
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20
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Total
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127
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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,
- principle 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 the 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 kinematics of a basic mass point and rigid body motions,
- chooses the corresponding number of balance conditions for the mass point and rigid body statical solution in plane,
- is capable to determine the center of mass of the mass objects,
- applies the basic analytical and graphical methods to the solution of mass point and rigid body mechanics,
- knows to solve the statics of plane rigid body systems using analytical and graphical methods.
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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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