Applied Mechanics II


The objective of this course is to provide the students with scientific knowledge in the field of dynamics (kinematics + kinetics) whether applied to the material point or rigid body. In line with the theoretical background acquired in lectures, the students should be able to solve analytically a list of standardized problems collected from the literature and others proposed by the professors. According with the given fundamental methods to solve problems in dynamics the student should be able to derive the governing equations of motion. Furthermore, he must realize the advantages and drawbacks of each method. He should develop his ability to discern what method is efficient the most to be applied to a specific physical problem in dynamics since each method has its own specificity, applicability and degree of complexity.

General characterization





Responsible teacher

António Paulo Vale Urgueira, Raquel Albuquerque Soares Brás de Almeida


Weekly - 5

Total - 92

Teaching language



Available soon


Mecânica Vectorial para Engenheiros - Dinâmica (6Ed). Beer FP, Johnston E.R. McGraw-Hill.




Engineering Mechanics - Dynamics (14th edition in SI units). R.C. Hibbeler. Prentice Hall.

Teaching method

Theoretical lectures and practical classes are planned. At the lectures notes on the subject are provided in the blackboard and complemented by powerpoint slideshows (videos may be included). At the practical sessions the resolution of some standard problems is demonstrated at the blackboard and the students required to go along and afterwards they are asked to solve extra problems by their own.  Finally, some concepts taught in class will be demonstrated in the laboratory, followed by individual questionnaires.

Evaluation method

The evaluation can be carried out on a continuum basis across the semester by means of two theoretical/practical tests and a mandatory quiz after the laboratorial session. The atendance to the laboratory session conducts to the frequency of the discipline. In case the student fails this evaluation or decides to improve it there is always the option of a final examination.

The continuous evaluation comprises two Tests (T1 and T2) and one laboratorial session quiz (QL) and the approval is based on the following formula:

0.40*T1 + 0.15*QL+ 0.45*T2 >= 9.5 where T1,T2 and QL  range from 0 to 20.

T1 and T2 are scheduled for a specific date and time gathering all the students at the same time. The weighted average of the tests (0.40*T1 + 0.45*T2) has to score >=7.65.

QL is carried out at the Structural Mechanics Laboratory during week to be selected from the calendar.

In case the student doesn''''t succeed in the continuum evaluation or decides to improve the mark, the approval is exclusively obtained with the final exam mark.

Subject matter

The program covers kinematics and kinetics of particles and planar rigid bodies. First, it is introduced the kinematics of the particle and the the rigid bodies. Then it is followed by kinetics with applications to particles and planar rigid bodies. In kinetics one introduces the three fundamental methods to solve problems in dynamics: 2nd Newton Law, Principle of work and energy, Principle of Impulse and Momentum. Finally, one addresses the problem of rotor or shaft balancing complemented with a laboratorial session demonstration.


Programs where the course is taught: