Mechanics II
Keywords |
Classification |
Keyword |
OFICIAL |
Physics |
Instance: 2012/2013 - 1S ![Requerida a integração com o Moodle Ícone do Moodle](/feup/pt/imagens/MoodleIcon)
Cycles of Study/Courses
Acronym |
No. of Students |
Study Plan |
Curricular Years |
Credits UCN |
Credits ECTS |
Contact hours |
Total Time |
MIEM |
283 |
Syllabus since 2006/2007 |
2 |
- |
7 |
70 |
187 |
Teaching language
Portuguese
Objectives
1- BACKGROUND:
Mathematics, Algebra, Physics, Statics, Mechanisms, Mechanical Drawing.
2- SPECIFIC AIMS:
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.
3- PREVIOUS KNOWLEDGE
Physics - Secondary school.
Mathematics - EM0009, EM0010, EIG0045.
Algebra - EM0005.
Statics - EM0014.
Mechanisms & Mechanical Drawing - EIG0005.
4- PERCENTUAL DISTRIBUTION
Science - 85%; Technology - 15%.
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 and the kinematics and dynamics of trivial mechanisms (gears, rolling bearings, cam - follower, piston ring-cylinder liner, rolling/sliding contacts ...)
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: 2 hours of theoretical classes and 3 hours of practical classes
Theoretical hours: 23 hours
Practical hours: 36 hours
Integrated Masters in Industrial Engineering and Management
Hours per week: 2 hours of theoretical classes and 3 hours of practical classes
Theoretical hours: 25 hours
Practical hours: 48 hours
keywords
Physical sciences > Physics > Classical mechanics > Kinetics
Physical sciences > Physics > Classical mechanics > Kinetics
Evaluation Type
Distributed evaluation with final exam
Assessment Components
Description |
Type |
Time (hours) |
Weight (%) |
End date |
Attendance (estimated) |
Participação presencial |
62,00 |
|
|
Exam |
Exame |
2,50 |
|
2011-11-07 |
Exam |
Exame |
2,50 |
|
2012-01-09 |
Homework |
Trabalho escrito |
10,00 |
|
2011-12-16 |
Exam |
Exame |
2,50 |
|
2012-02-06 |
|
Total: |
- |
0,00 |
|
Amount of time allocated to each course unit
Description |
Type |
Time (hours) |
End date |
Individual study |
Estudo autónomo |
110 |
2012-01-30 |
|
Total: |
110,00 |
|
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 5, 2012; January 2013)
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 50% 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. Students who:
-did not reach an average grade of 10 out of 20 in both exams
- 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 2013. The exam will be cover what have been taught during the semester.
Examinations or Special Assignments
Not Applicable
Special assessment (TE, DA, ...)
According to General Evaluation Rules of FEUP.
Classification improvement
According to General Evaluation Rules of FEUP.