Mechanics II

Code:

EM0018

Acronym:

M II

Keywords
Classification	Keyword
OFICIAL	Physics

Instance: 2017/2018 - 2S

Active?	Yes
Web Page:	http://www.fe.up.pt/~jchousal/2/mecanica2.htm
Responsible unit:	Applied Mechanics Section
Course/CS Responsible:	Master in Mechanical Engineering

Cycles of Study/Courses

Acronym	No. of Students	Study Plan	Curricular Years	Credits UCN	Credits ECTS	Contact hours	Total Time
MIEM	92	Syllabus since 2006/2007	2	-	6	58,5	162

Teaching language

Portuguese

Objectives

 1. To be acquainted with the essential concepts of KINEMATICS that is related with the motion of RIGID BODIES. To determine its velocity and acceleration. 2. To know how to determine velocity fields and contemporaneous accelerations in absolute or relative motions of the various mechanism components in an arbitrary 3D motion. 3. To identify what happens on a solid due to its motion (mass and inertia). 4. To know how to determine the dynamic balance of mechanical systems through vector theorems, energy theorems, impulse theorem and quantity of movement. 5- LEARNING OUTCOMES By the end of the semester, students should know how to analyze the kinematic and dynamic behaviours of plannar and spacial mechanisms. Understand the kinematics and dynamics of trivial mechanisms (gears, rolling bearings, cam - follower, piston ring-cylinder liner, rolling/sliding contacts ...)

Learning outcomes and competences

1. To be acquainted with the essential concepts of KINEMATICS that is related with the motion of RIGID BODIES. To determine its velocity and acceleration.
2. To know how to determine velocity fields and contemporaneous accelerations in absolute or relative motions of the various mechanism components in an arbitrary 3D motion. 
3. To identify what happens on a solid due to its motion (mass and inertia).
4. To know how to determine the dynamic balance of mechanical systems through vector theorems, energy theorems, impulse theorem and quantity of motion.

By the end of the semester, students should know how to analyze the kinematic and dynamic behaviours of plannar and spacial mechanisms.
Understand and the kinematics and dynamics of trivial mechanisms (gears, rolling bearings, cam - follower, piston ring-cylinder liner, rolling/sliding contacts ...)

Working method

Presencial

Pre-requirements (prior knowledge) and co-requirements (common knowledge)

Previous knowledge of Physics and Mathematics from the secondary school.

From the first year the concepts provided by the disciplines of Algebra and the fundaments os statics of Mechanics I are very important.

Program

Kinematics of a point. Trajectory Position vectors, velocity vectors and acceleration vectors. Vector’s components in intrinsic coordinates and in various Cartesian coordinates (steady or movable) Vector treatment of rotation motion “Angular velocity” vector or “rotation” vector “Angular acceleration” vector Kinematics of a solid Velocity fields Connection between velocities and two points of a solid: 1st Mozzi equation Elementary motions of a solid: translational and rotational Some particular motions: plain motion, polar motion and helical motion “General” motion: from “tangent” motion to helical motion. Absolute velocity, relative velocity and transport velocity Absolute acceleration, relative acceleration, transport acceleration and complementary (Coriolis) acceleration Solid motion on permanent contact Slip acceleration Velocity fields on constant contact Particular cases: pure rolling, pure twist, pure slip Rotation motion from the place where two motion solids meet and constant contact solids Instantaneous axis of rotation in an arbitrary motion of a solid Rotation motion of that axis Axoid surfaces Mass Kinematics Torsor motion Torsor acceleration Kinematic energy in a material system Dynamics- Force, Mass and Acceleration Dynamics of a material point The elementary principles of dynamics Equations of motion Inertial force Kinematic momentum variation of a material point Equation of dynamics Dynamics of a solid: Method of analysis, motion of the center of mass, motion around the center of mass, dynamic balance, particular motions and applications. Dynamics- Work and Energy Work and energy: work of a force and binary work Work of conservative and non-conservative forces Work and kinematic energy Work and total energy mechanics The principal of conservation of total energy mechanics Theorem of virtual work: virtual dislocation, theorem of virtual work.

Mandatory literature

J. O. Seabra, C. M. Oliveira, J. D. Rodrigues, P. P. Camanho e P. L. Ribeiro; DINÂMICA DO PONTO MATERIAL E DO CORPO RÍGIDO, FEUP-DEMEGI-SMAp, 2004
Marcelo Ferreira de Moura e Carlos Magalhães Oliveira; CINEMÁTICA, FEUP-DEMEGI-SMAp, 2003

Complementary Bibliography

Meriam, J. L.; Engineering Mechanics. ISBN: 0-471-59273-0
Paul, Burton; Kinematics and dynamics of planar machinery. ISBN: 0-13-516062-6
Hibbeler, R. C.; Engineering mechanics. ISBN: 0-13-080288-3
Beer, Ferdinand P; Vector mechanics for engineers. ISBN: 0-07-100455-6

Teaching methods and learning activities

Integrated Masters in Mechanics Engineering (MIEM- 1st Semester) Hours per week:1.5 hours of theoretical classes and 3 hours of practical classes Theoretical hours: 19.5 hours Practical hours: 39 hours Integrated Masters in Industrial Engineering and Management Hours per week: 2 hours of theoretical classes and 3 hours of practical classes Theoretical hours: 26 hours Practical hours: 52 hours

keywords

Physical sciences > Physics > Classical mechanics > Kinetics
Physical sciences > Physics > Classical mechanics > Kinetics

Evaluation Type

Distributed evaluation with final exam

Assessment Components

Designation	Weight (%)
Exame	45,00
Teste	45,00
Trabalho escrito	10,00
Total:	100,00

Amount of time allocated to each course unit

Designation	Time (hours)
Estudo autónomo	103,50
Frequência das aulas	58,50
Total:	162,00

Eligibility for exams

According to General Evaluation Rules of FEUP

Calculation formula of final grade

1. Students will have to attend to two exams (November 2015; January 2016) 2. The first exam will exclusively test the concepts of kinematics. 3. The second exam will test the themes taught on the second part of the semester. 4. Both exams worth 45% of the final grade. 5. Students will have to achieve a minimum grade of 8 (7.50) out of 20 on each of the exams. 6. Realization of 4 homeworks using Moodle platform with a worth of 10% of the final grade.
Students who:
-did not reach an average grade of 10 out of 20 in referred evaluation,
 - reached an average grade of 10 out of 20 but did not follow the rule on item 5,
- missed one of the exams,
will have an opportunity to be tested in February 2016 (worth of 90%). The exam will be cover what have been taught during the semester. All the students can have acces to this final exam, including the ones that have already have been approved and are interested to improve their classification.

Examinations or Special Assignments

Not Applicable

Internship work/project

 

Not Applicable

Special assessment (TE, DA, ...)

According to General Evaluation Rules of FEUP.

Classification improvement

According to General Evaluation Rules of FEUP.