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General Mechanics

Code:

MI09

Sigla:

MG

Áreas Científicas
Classificação	Área Científica
CNAEF	Physics

Ocorrência: 2021/2022 - 2S

Ativa?	Yes
Unidade Responsável:	Departamento de Engenharia Mecânica
Curso/CE Responsável:	Professional Technical Higher Education Course in Industrial Maintenance

Ciclos de Estudo/Cursos

Sigla	Nº de Estudantes	Plano de Estudos	Anos Curriculares	Créditos UCN	Créditos ECTS	Horas de Contacto	Horas Totais
TSPMI	29	Plano de Estudos	1	-	3	30	81

Língua de trabalho

Portuguese

Objetivos

To transmit knowledge about the fundamental laws of Newtonian Mechanics, and their application to problems relevant to the course's knowledge area.

Resultados de aprendizagem e competências

.This module tries to give the student the necessary competence to attend an engineering course, where he will deepen his knowledge of the subjects taught.

Modo de trabalho

Presencial

Pré-requisitos (conhecimentos prévios) e co-requisitos (conhecimentos simultâneos)

Recommended prior knowledge is that contained in secondary school mathematics programs and for a student with an average of ten in these subjects.

Programa

1. Introduction
Concepts, nomenclature and units

2. Particle statics
Introduction
Force acting on a particle. Result of two forces
vectors. vector operations
Resulting from multiple competing forces
Decomposing a force into components
Cartesian components of a force. versors
Addition of forces through the sum of their Cartesian components
Equilibrium of a particle
Newton's first law
Problems involving the equilibrium of a particle. free body diagram
3. Rigid bodies. Equivalent force systems
Introduction
Inner forces and outer forces
Principle of transmissibility. equivalent forces
Vector product of two vectors
Moment of a force about a point
Varignon's Theorem
moment of a binary
equivalent binaries
Adding Binaries
Replacement of a force by a force applied at a point and a couple
Reduction of a system of forces to a force and a couple
Equivalent systems of forces
Equipollent vector systems
Particular cases of reduction of a system of forces

4. Equilibrium of rigid bodies
Introduction
free body diagram
Reactions at supports and connections of a two-dimensional structure
Equilibrium of a rigid body in two dimensions
Statically indeterminate reactions. Insufficient connections
Equilibrium of a body subjected to the action of two forces
Equilibrium of a rigid body subjected to the action of three forces
5. Friction
Laws of dry friction
friction coefficients
6. Distributed forces: centroids and centers of gravity
Center of gravity of a two-dimensional body
1st order moment of surfaces and lines
8. Particle Kinematics
Rectilinear movement of particles
Position, Speed ​​and Acceleration
Determining the motion of a particle
Uniform and uniformly accelerated rectilinear motion
curvilinear motion of particles
Vector Position, Velocity and Acceleration
Cartesian components of velocity and acceleration
Movement relative to a translational frame of reference
Tangential and normal components
9. Particle Kinetics (Dynamics)
9.1 Newton's second law of motion.
9.2 Linear momentum of a particle
9.3 Equations of motion. Dynamic balance.

Bibliografia Obrigatória

Ferdinand P. Beer, David F. Mazurek, E. Russell Johnston; Vector Mechanics for Engineers: Statics and Dynamics

Métodos de ensino e atividades de aprendizagem

Theoretical-practical classes, with tests and exams.

Taking two tests with a minimum score of 9.5 val in each one, or taking a final exam with a minimum score of 9.5 val.

Tipo de avaliação

Distributed evaluation with final exam

Componentes de Avaliação

Designation	Peso (%)
Exame	100,00
Total:	100,00

Componentes de Ocupação

Designation	Tempo (Horas)
Estudo autónomo	50,00
Frequência das aulas	50,00
Total:	100,00

Obtenção de frequência

Theoretical-practical classes, with tests and exams.

Taking two tests with a minimum score of 9.5 val in each one, or taking a final exam with a minimum score of 9.5 val.

Fórmula de cálculo da classificação final

Theoretical-practical classes, with tests and exams.

Taking two tests with a minimum score of 9.5 val in each one, or taking a final exam with a minimum score of 9.5 val.

In cases that the teacher deems necessary, there may be an oral test. In these cases, the student's final grade is the oral test grade.

(T1+ T2)/2 and T1 and T2 >=9.5 or

Final exam grade or

Oral test score.

T1 1st test score

T2 second test score