Publication in the Diário da República: Despacho nº 10366/2022 - 24/08/2022 (Parceria ESTT/ESAI)
4 ECTS; 1º Ano, Anual, 40,0 TP , Cód. 908942.
Lecturer
- Eugénio Manuel Carvalho Pina de Almeida (1)(2)
(1) Docente Responsável
(2) Docente que lecciona
Prerequisites
Not applicable
Objectives
O1 - Development of a critical spirit that enables the understanding, interpretation and application of knowledge in the field of physics and technology related to this area;
O2 - Application of logical reasoning to concrete problems, using the tools of physics and maths;
O3 - Knowledge and development of skills for analysing and solving problems in the field of the statics and dynamics of a particle and a rigid body, namely in the study of problems associated with the conditions of equilibrium and static equilibrium of a rigid body.
Program
1 Measures and units; International System of Units; Measurements and errors.
1.1 Review of concepts about physical quantities and their units
1.1.1 International System of Units
1.2 Importance of measurement. Types of errors in measurements and measures
1.2.1 Precision versus accuracy
1.2.2 Observational, systematic and random errors (in direct measurements)
1.3 Calculating errors in direct measurements
1.4 Calculating errors in indirect measurements
1.4.1 Approximate calculation method
1.4.2 Exact Calculation Method
2. Vector Calculus: notion of vector, sum of vectors. Inner and outer product.
2.1 Concept of Vector and its Properties
2.2 Concept of Versor. Representation of a vector in R2
2.3 Operations with Vectors
2.4 Scalar Product or Inner Product
2.5 Vector Product or External Product
3. Kinematics and Dynamics of the Material Point
3.1 Scalar kinematics of the material point
3.1.1 Position, velocity and acceleration
3.2 Rectilinear Motion
3.2.1 Rectilinear and Uniform Motion
3.2.2 Uniformly accelerated rectilinear motion
3.2.3 Uniformly retarded rectilinear motion
3.3 Dynamics of the Material Point
3.3.1 Concept of Force
3.3.2 Newton's Laws
3.3.3 Directly Applied Forces and Connecting Forces
3.3.4 Applications of Newton's Laws - Exercises
4. Work and energy.
4.1 Work and Energy
4.1.1 Introduction
4.1.2 Definition of system and energy of a system
4.2 Work
4.2.1 Definition of work
4.2.2 Work done by a conservative force
4.2.3 Work-Energy Theorem
4.3 Energy
4.3.1 Mechanical energy
4.3.2 Non-conservative forces
4.3.3 Conservation of Mechanical Energy Theorem
5. Systems of particles and conservation of linear momentum.
5.1 Introduction
5.2 Centre of mass
5.3 Movement of the centre of mass
5.4 Linear momentum
5.4.1 Linear momentum of a system of particles
5.4.2 Conservation of linear momentum
6. Rigid body, equilibrium and vibrations.
6.1 Conditions of equilibrium of a rigid body
6.2 Centre of gravity
6.3 Some examples of static equilibrium
6.4 Stability of equilibrium
6.5 Vibrating system
6.6 Free vibrations without damping
6.7 Free Vibrations with Viscous Damping
6.8 Forced vibrations
Evaluation Methodology
Rating: 0 to 20 values.
Final approval with a minimum of 10 values
Assessment:
1.Continuous assessment: Final written test, on the whole subject containing problems and development questions, carried out during the period of teaching activities.
2. Exam: Final written test for students who have not passed the continuous assessment (or who wish to improve their grade) in an Exam and/or Appeal Exam.
Bibliography
- Almeida, G. (2002). Sistema Internacional de Unidades. Lisboa: Platano editora
- Alonso, M. e Finn, E. (1981). Física: um curso Universitário. (Vol. I & II). : Edgard Blutcher
- Johnston, R. e Beer, F. (2011). Mecânica Vetorial para Engenheiros. Estática. : Mc Graw Hill
- P. Boresi, A. e J. Schmidt, R. (2003). Dinâmica. S. Paulo: Thomson
- Resnick, J. e Halliday, D. (2009). Fundamentos de Física. (Vol. I & II). Rio Janeiro: LTC-Livros Técnicos e Científicos
Teaching Method
1. Presential
M1: Theoretical classes
M2: Theoretical-practical classes
M3: Mentoring Guidance
M4: e-learning
2. Autonomous:
M5: consultation of resources on the internet
M6: Resolution of additional exercises
Software used in class
