**Course title, code:** Technical Mechanics III, GAGEBAN-MECHANI3-1

**Name and type of the study programme:**

**Curriculum:**2021

**Number of classes per week (lectures+seminars+labs):**2+2+0

**Credits:**4

**Theory:**50 %

**Practice:**50 %

**Recommended semester:**3

**Study mode:**full-time

**Prerequisites:**Engineering Mechanics II./Strength of Materials

**Evaluation type:**exam

**Course category:**

**Language:**english

**Responsible instructor:**Dr. Lakó Sándor Dezső

**Responsible department:**Department of Basic Sciences

**Instructor(s):**

**Course objectives:**

Introduction of the students to the description of the motion of bodies (kinematics), and exploring the relationship between the forces acting on bodies and the resulting motion (dynamics/kinetics). Demonstrate the application of the fundamental theorems to the analysis of the motion of simple structures made of rigid bodies.

**Course content - lectures:**

Kinematics of point masses. Planar motions. Kinematic diagrams. Kinematics of rigid bodies: velocity and acceleration state of rigid bodies in planar motions. Finite motions of rigid bodies. Kinematics of mechanisms. Velocity state of mechanisms. Speed and acceleration states of four-bar linkages and crank mechanisms. Kinetics of point masses. Kinetic theorems. Kinetics of loose and rigid point mass systems. Kinetics of rigid bodies. Moment of inertia. Rotational motions of rigid bodies. Physical pendulum. General planar motions of rigid bodies. Rolling motion. Investigation of complex structures with single degree of freedom by decomposition. Calculation of internal forces. Investigation of complex structures with single degree of freedom by decomposition by reduction of mass and force. Basic concepts of collisions. Centric and eccentric collisions of rigid bodies. Relationship between velocities, accelerations and forces in different coordinate systems. Basic concepts of vibrational motions

**Course content - seminars:**

Kinematics of point masses. Planar motions. Kinematic diagrams. Kinematics of rigid bodies: velocity and acceleration state of rigid bodies in planar motions. Finite motions of rigid bodies. Kinematics of mechanisms. Velocity state of mechanisms. Speed and acceleration states of four-bar linkages and crank mechanisms. Kinetics of point masses. Kinetic theorems. Kinetics of loose and rigid point mass systems. Kinetics of rigid bodies. Moment of inertia. Rotational motions of rigid bodies. Physical pendulum. General planar motions of rigid bodies. Rolling motion. Investigation of complex structures with single degree of freedom by decomposition. Calculation of internal forces. Investigation of complex structures with single degree of freedom by decomposition by reduction of mass and force. Basic concepts of collisions. Centric and eccentric collisions of rigid bodies. Relationship between velocities, accelerations and forces in different coordinate systems. Basic concepts of vibrational motions

**Acquired competences:**

__Knowledge:__

Have a comprehensive knowledge of the basic facts, directions and limits of the subject area of engineering.
Knowledge of the general and specific mathematical, scientific and social principles, rules, contexts and procedures necessary for the operation of the field of engineering.
Comprehensive knowledge of the operating principles and structural units of the machines, power tools, mechanical equipment and tools used.
Knowledge of measurement procedures, instruments, apparatus and measuring equipment used in mechanical engineering.

__Skills:__

Ability to analyse at a basic level the disciplines making up the knowledge base of the field of engineering, to formulate relationships synthetically and to carry out appropriate evaluative activities.
Ability to identify routine technical problems and to identify, formulate and solve (using standard operations in practice) the theoretical and practical background required to solve them.
Ability to construct basic models of technical systems and processes.
Ability to communicate orally and in writing in his/her mother tongue and at least one foreign language in a professionally appropriate manner in his/her field of specialisation.

__Attitude:__

Applies his/her acquired technical knowledge to gain the best possible understanding of observable phenomena and to describe and explain their laws.

__Autonomy and responsibilities:__

Open to understanding, accepting and authentically communicating professional and technological developments and innovations in the field of engineering.

__Additional professional competences:__

**Requirements, evaluation, grading:**

**Mid-term study requirements:**

Two tests will be written at the lectures. Only writing utensils and pocket calculators not suitable for storing and/or transferring textual and/or image information may be used for writing the short tests. The tests will take 90 minutes and will be worth 50 points. Admission to the examination (Article 11 of the Exam Rules): a total score of 40 or more at the start of the examination period. A replacement test worth of 100 points (on the last week before the exam period) can be written by the students, who are not admitted to the exam by the regular tests. The score of the replacement test overwrites the full score of the semester, and the condition of the exam admission re-evaluated.

**Exam requirements:**

The exam is written, lasts 90 minutes and is worth 100 points. It may contain questions regarding the material presented in the lectures and the material given for individual work, and regarding the exercise lessons, including theoretical questions and calculation problems requiring textual descriptions, drawings. Preparation for the theoretical part is aided by the examination thematics, which is published at the end of the semester. The following may be used in the examination: writing utensils, pocket calculators not suitable for storing and/or transferring textual and/or image information and a handwritten (not photocopied or printed) two-sided A5 format sheet of formulae written in blue pen. Half of the points above 40 obtained during the period of study will be added to the examination score. The examination mark will be determined in accordance with the table in § 11(2) of the Exam Rules.

**Study aids, laboratory background:**

Video explanations regarding the parts of the material assigned for individual work. Documents, slides, tables published on Teams and/or Neptun Meet Street.

**Compulsory readings:**

Hudson–Nelson: University Physics, Saunders College Publishing, 1990 Beer–Johnston: Vector Mechanics for Engineers. Dynamics. McGraw-Hill, 2004. Tongue–Sheppard: Dynamics. Analysis and Design of Systems in Motion. John Wiley ans Sons, 2005. McLean–Nelson: Engineering Mechanics. Statics and Dynamics. Schaum's Outline Series, McGraw-Hill, 1988. Hibbeler: Engineering Mechanics, Dynamics 11th ed, SI version, Pearson Prentice Hall, 2007. Meriam–Kraige: Engineering Mechanics, Dynaimics, 5th edition, SI version, John Wiley and Sons, 2003

**Recommended readings:**