Distance and Displacement

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King Fahd University of Petroleum
& Minerals
Mechanical Engineering
Dynamics ME 201
BY
Dr. Meyassar N. Al-Haddad
Outline
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Department Mission
Textbook
Grading system
Homework
Attendance
Exams
Course Coverage
Section 12.1 Introduction
Vector and Scalar review
Distance and Displacement review
Speed and Velocity
Examples
Department Mission
• The department is committed to providing
highest quality education in mechanical
engineering, conducting world-class basic
and applied research, addressing the
evolving needs of industry and society, and
supporting the development of more
competitive and new industry in the
Kingdom of Saudi Arabia.
Textbook
Engineering Mechanics, Dynamics
R. C. Hibbeler, 10th Edition
&
Dynamic Study Pack
Grading system
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5%
10%
20%
20%
10%
35%
Attendance
Homework Assignments
1st Major Exam
2nd Major Exam
Quizzes
Final Exam
Homework
• Homework problems are pre-assigned in syllabus
5 problems every week.
• All homework problems assigned during a given
week are due in class on the following Monday
unless stated otherwise.
• Late Homework will not be accepted
Attendance
• Attendance will be checked during each lecture. The only
acceptable excuse for absence is the one authorized by
the Deanship of Student Affairs on their prescribed form.
This excused should be presented to the instructor no
later than one week following the resumption of class
attendance. For any unexcused absence, 0.5 marks will be
deducted from the attendance grade. Any student having
more then 9 unexcused absences will receive a grade of
DN for the course.
Office Hours
• Office Hours :
– 10:00 – 11:00 Every Day
• Location
– Building 22
– Room 233
• Phone 860-4344
Exam Days
• 1st Major Exam (20%)
– March – 22nd, 2005 (Room 6:125)
• 2nd Major Exam (20%)
– May- 9th, 2005
(Room 6:125)
• Final Exam (35%)
– To Be Arranged by the registrar
Course coverage
• Kinematics of particle in various motion. (Chapter 12)
– Force and acceleration. (Chapter 13)
– Work and energy relations. (Chapter 14)
– Impulse and Momentum. (Chapter 15)
• Kinematics of a rigid bodies in plane motion. (Chapter 16)
– Force and acceleration of a rigid bodies . (Chapter 17)
– Work and energy relations of a rigid bodies. (Chapter 18)
– Impulse and Momentum of a rigid bodies (Chapter 19)
Areas of mechanics (Section12.1)
Mechanics
Rigid-body
Static (CE201)
Dynamics (ME201)
Equilibrium body
Accelerated motion body
fluid
Deformable-body
Kinematics
(Geometric aspect of motion)
Particle
Rigid Body
Kinetics
(Analysis of force causing the motion)
Force & acceleration
Work & Energy
Impulse & Momentum
Areas of mechanics (section12.1)
1)
Statics (CE-201)
- Concerned with body at rest
2)
Dynamics (ME-201)
1.
2.
Concerned with body in
motion
Kinematics, is a study the
geometry of the motion
s, v, a
Kinetics, is a study of
forces cause the motion
F, m, motion
F  0
F  0
M  0
x
y
 F  ma
 F  ma
 M  I
x
x
y
y
Review of Vectors and Scalars
• A Vector quantity has both magnitude and
direction
• A Scalar quantity has magnitude only
• Scalars (e.g)
• Vectors (e.g.)
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–
–
–
–
distance
speed
mass
temperature
pure numbers
time
pressure
area, volume
charge
energy
displacement
velocity
acceleration
force
weight (force)
momentum
Vectors
• Can be represented by an arrow (called the
“vector”)
• Length of the vector represents the
magnitude of the quantity
• Symbols for vectors:
–
(e.g. force) F ,or F (bold type)
F
2F
Distance and Displacement
N
River
City
My Place
X
3km
QUT
8 km
• 8km = Distance
• 3km = Displacement
• Distance
• Displacement
– total length of path
travelled
– must be greater than (or
equal to) magnitude of
displacement
– only equal if path is
straight
– symbol d
– direct distance
– shortest distance between two
points
– distance between start and
finish points
– “as the crow flies”
– can describe with only one
direction
– symbol s
– s = xfinal - xinitial
Average Speed and Average Velocity
distance d
Average Speed =

time
t
displaceme nt s
Average Velocity =

time
t
x x  xo
v

t
t
Review
Are you going up or down?
a
v
Are you speeding up or slowing
down?
What will your velocity be in 1
second?
Review
Are you going up or down?
t=0
v
a
Are you speeding up or slowing
down?
What will your velocity be in 1
second?
Review
Are you going up or down?
t=1
v
a
Are you speeding up or slowing
down?
What will your velocity be in 1
second?
Review
Are you going up or down?
t=2
a v
Are you speeding up or slowing
down?
What will your velocity be in 1
second?
Review
Are you going up or down?
t=3
a
v
Are you speeding up or slowing
down?
What will your velocity be in 1
second?
Review
t=4
Are you going up or down?
a
v
Are you speeding up or slowing
down?
What will your velocity be in 1
second?
Review
a
Are you going up or down?
t=5
v
Are you speeding up or slowing
down?
What will your velocity be in 1
second?
Review
a
Are you going up or down?
t=6
v
Are you speeding up or slowing
down?
What will your velocity be in 1
second?
Bungee Jumping
Velocity Acceleration
1
Velocity Acceleration
5
2
6
3
7
4
bottom
Thank you
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