Classical Mechanics

Code:

F101

Acronym:

F101

Keywords
Classification	Keyword
OFICIAL	Physics

Instance: 2012/2013 - 1S

Active?	Yes
Responsible unit:	Department of Physics and Astronomy
Course/CS Responsible:	Bachelor in Physics

Cycles of Study/Courses

Acronym	No. of Students	Study Plan	Curricular Years	Credits UCN	Credits ECTS	Contact hours	Total Time
L:AST	19	Plano de Estudos a partir de 2008	1	-	7,5	-
L:B	0	Plano de estudos a partir de 2008	3	-	7,5	-
L:CC	0	Plano de estudos de 2008 até 2013/14	3	-	7,5	-
L:F	46	Plano de estudos a partir de 2008	1	-	7,5	-
L:G	0	P.E - estudantes com 1ª matricula anterior a 09/10	3	-	7,5	-
		P.E - estudantes com 1ª matricula em 09/10	3	-	7,5	-
L:M	87	Plano de estudos a partir de 2009	2	-	7,5	-
L:Q	1	Plano de estudos Oficial	3	-	7,5	-
MI:EF	51	Plano de Estudos a partir de 2007	1	-	7,5	-

Teaching language

Portuguese

Objectives

This course aims to present the concepts and the basic principles of Classic Mechanics, and relativity, with emphasis on the understanding of them in the real world. Students should have the ability to manipulate fundamental concepts and knowing how to apply them to solve problems. Students will be motivated to consider the principles of Mechanics in other areas of knowledge and in technology.

Learning outcomes and competences

 Students should have the ability to manipulate fundamental concepts and knowing how to apply them to solve problems. Students will be motivated to consider the principles of Mechanics in other areas of knowledge and in technology.

Working method

Presencial

Program

1.Kinematics 1.1 Equations of Motion 1.2 Equations of motion in the plane 2. 2. Newtonian Dynamics 2.1 Newton's Laws: The fundamental problem of dynamics. Inertial frames. The first. Newton's law (law of inertia). Mass and momentum. The second. Newton's law (the equation of motion for a particle as a second order differential equation). The force of gravity and weight. The third. Newton's law (action and reaction). Applications of Newton's laws. Curvilinear motion: normal and tangencial accelerations. Applications of the second Newton's law to the uniform circular motion. Centrifugal acceleration The pendulum. Non-uniform circular motion. 2.2 Energy and work of a force: Kinetic and Potential Energy. Conservation of Energy. Work performed by a force. Relationship between the work of a force and the variation of kinetic energy. Conservative forces, potential energy, relationship between the work of a force and the variation of potential energy, criteria for the existence of a potential associated with a force (rotational of a force). Conservation of mechanical energy for an isolated system. 2.3 Linear Momentum and Collisions Momentum and its relation with a external force. Conservation of the linear momentum for a system particles. Inertial frames; Galileo's transformations; transformation of the velocity and acceleration . Center of mass. The center of mass referential. The motion of a system of two particles: the reduced mass. Transformation of the momentum between frames. Elastic and inelastic collisions. Systems of variable mass. 2.4 Angular momentum: Outer product of two vectors, the moment of a force. Angular momentum of a particle. Angular momentum of objects that rotate around an axis. Conservation of angular momentum. Motion of a body under the action of a central force. Examples angular momentum of a system particles. Rigid body, axes of rotation; matrix of inertia, proper values and vector; moments of inertia. 2.5 Motion of a body under the action of gravity: Newton's universal law of gravitation. The gravitational potential energy. Equations of motion Effective potential. Kepler's law, escape velocity. 2.6 Oscillatory motion: Harmonic motion: energy of an harmonic oscillator; comparison with the uniform circular motion. Examples (the simple pendulum; the mass - spring system). Damped oscillations. Forced oscillations and resonance. 3. Theory of Relativity 3.1 General Consideration 3.2 Speed, momentum, energy and mass Addition of velocities, linear momentum and its conservation; kinetic and total energy of a particle. Bibliography: Physics for Scientists and Engineers, Serway RA, Sauders College Publishing, 1996. Fundamentals of Physics, D. Halliday, R. Rsnick and J. Walker, J. Wiley & Sons, 2001. The Feymnan Lectures on Physics, vol. 1, R. Feymnan, R. Leighton & M. Sands, Addison-Wesley Publishing, 1963.

Mandatory literature

R. Feymnan, R. Leighton & M. Sands; The Feymnan Lectures on Physics, Vol,. 1.

Teaching methods and learning activities

Theory classes, exercise classes and computing exercise classes. 

Evaluation Type

Distributed evaluation with final exam

Assessment Components

Description	Type	Time (hours)	Weight (%)	End date
Exam	Exame	3,00	90,00
Computing exercises	Defesa pública de dissertação, de relatório de projeto ou estágio, ou de tese	3,00	10,00
	Total:	-	100,00

Eligibility for exams

Compulsory presence in 75% of the exercise and computing classes.

Calculation formula of final grade

0.90 x best graded exam + 0.10 x grade of computing classes