After successful completion of the course, students are able to:

• determine speed and acceleration with respect to different systems of reference for any point in a system of a kinematic chain with joints as a function of given coordinates and their derivatives and they represent those quantities as vectoral quantities in different coordinate systems;
• explain the relationship between forces and motion using Newton's and Euler's principles;
• determine and solve the equations of motion for rigid body systems and determine the necessary constraining forces;
• determine the mechanical energy of a rigid-body system and establish the equation of motion for systems with one degree of freedom via the relationship between energy, work and power;
• analyse the behaviour of gyros and rotating machine parts, especially in connection with static and dynamic unbalance;
• explain the basics of Newtonian celestial mechanics;
• apply elementary impact theory to systems of rigid bodies;
• set up and linearize the equation of motion for oscillating mechanical systems with one degree of freedom and analyse their behavior in case of a free oscillation or as harmonically excited system.

Corresponding to the topics of the lecture 309.020 these exercises enhance the understanding of basic problems by special examples. There are organized in groups which are in charge of Ass. Prof. togehter with tutors.

Students are working out solutions to a given task in class with help from the lecturer. In addition to that, tutors are present during class to support students in finding the correct solutions and to answer any questions that arise.

A possible solution will be presented by the lecturer at the end of the class. Furthermore, connections between the task and the theory behind the questions are established as well as alternative solution strategies.

There are two types of groups:

1) Small groups (K01-K19):

• Students develop solutions to the examples and discuss problems and errors that arise under the guidance of tutors.
• Working together and discussions among students are explicitly encouraged!
• Group K19 is held in English.

2) Large group (G)

• A lecturer shows exemplary solutions to the examples, points out essential points and answers questions.
• The lecture and explanations are more detailed than in the smaller groups but there is less time for independent work and for individual questions.
• If registrations exceed the capacity of Group G, another group will be opened.

Attendance is compulsory in all groups (see section examination modalities).

It is mandatory to register for a group to participate in the exercise. The registration process takes place via the TISS platform exclusively and consist of two stages:

First stage: Pre-registration

Please enroll into one the designated pre-registration groups if you are aiming for a spot in one of the small groups. These groups are used for pre-selecting times and dates where you can attend, therefore it is possible to register to multiple pre-registration groups. Please register to the large group directly if you are aiming for a spot in that group.

Second stage: allocation of small group spots

If there are more pre-registrations for the small groups than available spots, then the spots will be drawn. The available spots are preferably given to students who are taking part in the class for the first time. All those who do not get a spot in a small group can attend the exercise in a large group.

For administrative reasons, it is no longer possible to change exercise groups after the pre-registration period.

The rest of the course is administered via the TUWEL platform.

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.

Individual questions regarding the course material can be asked during the office hours of your tutors.

The assessment consists of three elements.

1. Presence

Attendance and active participation in at least 8 exercise units are required to finish this course with a positive grade.

2. Peer review

The accompanying learning progress control takes place via a peer review system. Tasks have to be solved and submitted, in return you will get a submission from a colleague to check. The tasks approach the scope of the final test in terms of scope and level of difficulty, and similar criteria must also be used in the assessment. Further details on this process can be found in the accompanying TUWEL course of this course.

For a positive assessment of the peer review it is necessary to complete at least 3 out of the 4 tasks. Incomplete submissions and assessments or identical submissions by multiple participants will not be recognized. The peer review otherwise does not influence 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.

3. Final test

The positive assessment of the peer review is a prerequisite for taking the final test. This covers the entire material of the exercise and serves to determine the grade.

For a positive assessment, 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 end result, expressed in the dimensions given by the question (unless stated otherwise).

The following points should also be noted:

• Partial points can be awarded for the right approach; the end result is only right or wrong.
• A final result is only evaluated if the physical approach has been 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. The easiest way to check the latter is to use "special cases" for which the solution is usually obvious.
• 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 are awarded according to the difficulty of the individual questions.

Lugner, Desoyer, Novak:

Technische Mechanik – Aufgaben und Loesungen, 4. Auflage, Springer Verlag Wien

Vergriffen, liegt z.B. am Institut auf.

Gamer, U., Mack, W.:

Mechanik – Ein einführendes Lehrbuch für Studierende der technischen Wissenschaften. Springer Verlag Wien, 1999. ISBN: 3-211-82854-0.

Attendance to the lecture 309.020 VO Mechanics of solid bodies 2.