309.022 Mechanics of solid bodies, exercises 2
This course is in all assigned curricula part of the STEOP.
This course is in at least 1 assigned curriculum part of the STEOP.

2021W, UE, 2.0h, 2.0EC


  • Semester hours: 2.0
  • Credits: 2.0
  • Type: UE Exercise
  • Format: Hybrid

Learning outcomes

After successful completion of the course, students are able to apply the basic concepts and laws of physics taught in the corresponding lecture to solve fundamental problems in rigid body dynamics. With the help of such mathematical solutions, students can obtain concrete statements about the behavior of the basic mechanical systems, control them with respect to plausibility and, if necessary, explain the validity of the solutions.

In particular, students are able to

  • determine velocity and acceleration with respect to different systems of reference for any arbitrary point in a system of a kinematic chain with joints as a function of given coordinates and their derivatives and represent those quantities in vector form in different coordinate systems,
  • determine the relationship between forces and motion using Newton's and Euler's principles for solid bodies; determine and solve the equations of motion for rigid body systems and investigate the constraining forces, determine the mechanical energy of a rigid-body system and use the relationship between energy, work and power to construct the equation of motion for systems with one degree of freedom,
  • analyze the behavior of rotors and rotating machine parts, especially in connection with static and dynamic unbalance;
  • apply the elementary impact theory to plane systems of rigid bodies;
  • derive and linearize the equation of motion for oscillating mechanical systems with one degree of freedom and analyze their behavior in case of a free oscillation or as harmonically excited system.

Subject of course

In the exercise course (UE), exercises matching the content of the corresponding lecture are solved. Constitutive components of each solution process are the identification of suitable physical approaches, their mathematical implementation and application, the physical interpretation of the mathematical solutions, and the critical examination of the results.

The students should be able to understand the necessity of a fundamental theoretical knowledge in the field of dynamics. Based on the basic laws, they should be able to develop solution strategies for more complex problems by using suitable combinations of these laws.

Teaching methods


Students work out solutions independently for a given task and get support from the lecturer. In addition to that, tutors accompany the exercises in order to support the students in finding correct solutions and to answer any questions that may arise. At the end of the lecture, for each of the examples, a possible solution is presented, whereby correlations to the theoretical principles are established and alternative solution strategies are also given.

Homeworks have to be done during the semester to monitor the learning progress. The feedback on the solutions found comes from fellow students in the form of peer reviews. Studying on the homeworks independently enables students to check their current learning progress. The subsequent peer review also provides an insight into different approaches and improves the understanding of the subject area.

Hybrid Teaching (Online and Presence) in WS2020:

  • Each exercise lecture includes two example problems
  • Videos for the solution of the exercises are provided via TUWEL
  • Individual question possibilities for the exercise examples are answered via ZOOM
  • Presence question hours are held (registration via TUWEL)
  • Homework in peer-reviewed format is provided via TUWEL
    • Assignments are solved and submitted
    • Submissions of other participants are corrected and evaluated
  • Supplementary documentation (partly available online) with further examples is given
  • Exams are made at nearly end of the semester

Mode of examination


Additional information

A preliminary discussion via ZOOM will be held together with the lecture Mechanik 2 VO.

Registration in TISS is required to participate in the exercise lecture . This will automatically direct you in the TUWEL course of this course.

Please consult the FAQs of this course for general questions. Please post your questions in the TUWEL discussion forum for this course if your question is not answered by the FAQs.

Please address any individual organizational questions exclusively to Mechanik2UE@tuwien.ac.at.



Course dates

Tue14:15 - 15:1505.10.2021 Teinahme über den TUWEL-Kurs (LIVE)Vorbesprechung für das Modul Mechanik 2 (gemeinsam mit der zugehörigen Vorlesung)
Mon10:00 - 12:0011.10.2021 - 24.01.2022EI 4 Reithoffer HS Gruppe PMO1
Mon13:00 - 15:0011.10.2021 - 24.01.2022GM 4 Knoller Hörsaal - VT Gruppe PMO2
Mon17:00 - 19:0011.10.2021 - 24.01.2022EI 11 Geodäsie HS - GEO Gruppe PMO3
Wed09:00 - 11:0013.10.2021 - 26.01.2022EI 1 Petritsch HS Gruppe PMI1
Wed11:00 - 13:0013.10.2021 - 26.01.2022EI 4 Reithoffer HS Gruppe PMI2
Thu09:00 - 11:0014.10.2021 - 27.01.2022GM 3 Vortmann Hörsaal - VT Gruppe PDO1
Fri13:00 - 15:0015.10.2021 - 28.01.2022GM 3 Vortmann Hörsaal - VT Gruppe PFR1
Fri16:00 - 18:0015.10.2021 - 28.01.2022GM 3 Vortmann Hörsaal - VT Gruppe PFR3
Mechanics of solid bodies, exercises 2 - Single appointments
Tue05.10.202114:15 - 15:15 Teinahme über den TUWEL-KursVorbesprechung für das Modul Mechanik 2 (gemeinsam mit der zugehörigen Vorlesung)
Mon11.10.202110:00 - 12:00EI 4 Reithoffer HS Gruppe PMO1
Mon11.10.202113:00 - 15:00GM 4 Knoller Hörsaal - VT Gruppe PMO2
Mon11.10.202117:00 - 19:00EI 11 Geodäsie HS - GEO Gruppe PMO3
Wed13.10.202109:00 - 11:00EI 1 Petritsch HS Gruppe PMI1
Wed13.10.202111:00 - 13:00EI 4 Reithoffer HS Gruppe PMI2
Thu14.10.202109:00 - 11:00GM 3 Vortmann Hörsaal - VT Gruppe PDO1
Fri15.10.202113:00 - 15:00GM 3 Vortmann Hörsaal - VT Gruppe PFR1
Fri15.10.202116:00 - 18:00GM 3 Vortmann Hörsaal - VT Gruppe PFR2
Mon18.10.202110:00 - 12:00EI 4 Reithoffer HS Gruppe PMO1
Mon18.10.202113:00 - 15:00GM 4 Knoller Hörsaal - VT Gruppe PMO2
Mon18.10.202117:00 - 19:00EI 11 Geodäsie HS - GEO Gruppe PMO3
Wed20.10.202109:00 - 11:00EI 1 Petritsch HS Gruppe PMI1
Wed20.10.202111:00 - 13:00EI 4 Reithoffer HS Gruppe PMI2
Thu21.10.202109:00 - 11:00GM 3 Vortmann Hörsaal - VT Gruppe PDO1
Fri22.10.202113:00 - 15:00GM 3 Vortmann Hörsaal - VT Gruppe PFR1
Fri22.10.202116:00 - 18:00GM 3 Vortmann Hörsaal - VT Gruppe PFR2
Mon25.10.202110:00 - 12:00EI 4 Reithoffer HS Gruppe PMO1
Mon25.10.202113:00 - 15:00GM 4 Knoller Hörsaal - VT Gruppe PMO2
Mon25.10.202117:00 - 19:00EI 11 Geodäsie HS - GEO Gruppe PMO3

Examination modalities

The assessment consists of two stages:

1. Peer review

Four peer review sessions are held throughout the semester to monitor your learning progress. For a positive assessment of the exercise it is necessary to have completed three of the four peer-review sessions.

A peer review is considered completed when both the own solution and the assigned feedback have been fully submitted. Incomplete submissions or feedbacks or identical submissions by several participants will not be accepted. In these cases, the assessments done during the peer reviews will not be taken into account in the grading.

Submissions in the context of the peer review system are assessment relevant, this means that you will be issued a certificate. If you unsubscribe from the course before the first peer review, you will not be issued a certificate – not even a negative one.

2. Test

The positive assessment of the peer review is a prerequisite for taking the final test. This test covers the entire material of the exercise and serves to determine the final grade. A replacement test is offered for students who have failed in the test.

For a positive evaluation, the following points must be documented on the solution sheet for the individual tasks:

  1. All the physical-mathematical approaches required to solve the task, including the sketches to understand the respective approach.
  2. The main steps of the solution.
  3. The final result, expressed in the dimensions given by the question (unless stated otherwise).

The following points should also be noted:

  • A final result is evaluated only if the physical approach  is completely correct.
  • An essential feature is the implementation of the task in a mathematical formulation. In this context, it is pointed out again that the consideration of positive counting directions and the correct signing of the equations are essential.
  • Proper mathematical treatment of the equations is required. This means that there are no points for the mathematically correct treatment itself. This only needs to be traceable in the essential steps, but not documented in detail on the solution sheet. On the other hand, the problem cannot be solved without the correct application of mathematics.
  • The determined solution (end result) must be dimensionally correct and plausible.
  • Tasks that require the successful completion of previous subtasks will only be evaluated if the previous tasks have also been solved correctly. (Basic skills that are queried in preparatory sub-tasks must be mastered).
  • The points may be divided according to the degree of difficulty and weighting of the individual questions.

The duration of the test is 60 minutes, tools such as calculators, formulas, scripts etc. are not allowed. Totally eight points can be obtained, whereby four points are required for a positive evaluation of the exercise.


Course registration

Begin End Deregistration end
14.09.2021 00:00 15.11.2021 08:00 26.10.2021 08:00


The student has to be enrolled for at least one of the studies listed below


Study CodeObligationSemesterPrecon.Info
033 245 Mechanical Engineering Mandatory3. SemesterSTEOP
Course requires the completion of the introductory and orientation phase
033 282 Mechanical Engineering - Management Mandatory3. SemesterSTEOP
Course requires the completion of the introductory and orientation phase
700 Mechanical Engineering Mandatory2. Semester
740 Industrial Engineering-Management Mandatory2. Semester



Die Angaben der Übungsbeispiele stehen für Sie im TUWEL-Kurs als Download zur Verfügung.
Die Lösungen zu den Beispielen werden sukzessive im TUWEL-Kurs freigeschalten.

Am Montag, den 04.10.2021 von 10:00 bis 11:00 Uhr haben Sie bei unserem (Outdoor-)Verkaufsstand am Getreidemarkt, zwischen den Gebäudekomplexen BA und BC, die Möglichkeit, eine gedruckte Version der Angaben gemeinsam mit dem Skriptum zur VO zu kaufen. Wir ersuchen Sie, die geltenden COVID19-Sicherheits- und Hygienemaßnahmen unbedingt einzuhalten (3G-Nachweis, FFP2-Maske, ...) und den Betrag möglichst genau abgezählt mitzubringen.

Preis pro Stück: € 2,00

Weiterführende Literatur:
Gamer, U.; Mack, W.:

Mechanik – Ein einführendes Lehrbuch für Studierende der technischen Wissenschaften.
Springer Verlag Wien, 1999. ISBN: 3-211-82854-0.
Parkus, H.:
Mechanik der festen Körper.
Springer, 2005. ISBN: 978-3-211-80777-4.
Magnus, K.; Müller-Slany H.H.:
Grundlagen der Technischen Mechanik
. Teubner Stuttgart, 2006. ISBN: 978-3-8351-0007-7.
Lehmann, T.:
Elemente der Mechanik: 3. Kinetik.
Vieweg Braunschweig, 1977. ISBN: 3-528-19197-X.
Lugner, P.; Desoyer, K,: Novak, A.:
Technische Mechanik – Aufgaben und Lösungen
, Springer Verlag Wien, 1992. ISBN: 3-211-81717-4.
Gross, D.; Hauger, W.; Schröder, J. ; Wall, W. A.:
Technische Mechanik 3: Kinetik.
Springer Berlin Heidelberg, 2019. ISBN: 978-3-662-59550-3.
Gross, D.; Ehlers, W.; Schröder, J.; Müller, R.:
Formeln und Aufgaben zur Technischen Mechanik 3: Kinetik, Hydrodynamik. Springer Berlin Heidelberg, 2019. ISBN: 978-3-662-59681-4.

Previous knowledge

Attending lecture 309.020 VO “Mechanics of solid bodies 2” preferably in the same semester.

Accompanying courses