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Engineering Dynamics
Course Synopsis
This course intends to apply the knowledge of basic principles of
engineering dynamics including kinetics and kinematics motion of
a point in both one and two dimensions, velocity in 1-D and 2-D
and break down into components, methods of energy and
momentum, Newton’s laws of motion, vectors components and
magnitudes as well as rigid body motion.
Course Outcomes
By the end of semester, students should be able to:
CO1
CO2
CO3
Solve kinematic and kinetic problems for particles, systems
of particles and rigid bodies.
Explain momentum and energy methods problem for
particles, systems of particles and rigid bodies
Design and present a case study/laboratory experiment
related to principles of dynamics.
BTM2124 3
Week-by-Week Topic
Coverage
Week Topic
2-3 Kinematics of Particle
4-5 Kinetics of Particle
6-7 Kinetics of Particles Energy and Momentum
Methods
8-10 Systems of Particles
11-13 Kinematics of Rigid Body
14 Preparation Week
BTM2124 4
Teaching Plan Semester I Session
2020/2021
• Course Description
• Course Code
• Credit Hours
• References
: Engineering Dynamics
: BTM1223
: 3
: Russel C. Hibbeler: Engineering
Mechanics: Statics and Dynamics
Assessment Plan
Final Examination : 40%
Test : 25% (Test 1 and Test 2)
Quiz : 5% (Quiz 1 and Quiz 2)
Project : 30 % (Report and Presentation)
BTM2124 5
Chapter 1:
Kinematic of Particles
INTRODUCTION
7
Mechanics: The study of how bodies
react to forces acting on them.
Dynamics:
1.Kinematics – concerned with
the geometric aspects of motion
2.Kinetics - concerned with
the forces causing the motion
Statics: The study of
bodies in equilibrium.
An Overview of Mechanics
Fdrag
Flift
Kinematic of Particles
• Dynamics includes:
Kinematics: study of the geometry of motion.
Relates displacement, velocity, acceleration, and time without reference
to the cause of motion.
thrust
Kinetics: study of the relations existing between the forces acting on
a body, the mass of the body, and the motion of the body. Kinetics is
used to predict the motion caused by given forces or to determine the
forces required to produce a given motion.
F
Kinematic of Particles
Kinematic of Particles
Syllabus (will change)
Topic Content Note
1 Introduction and Review Review of Syllabus and Grading Policies
2 Kinematics of Particle · Solve problems in rectangular coordinates
· Solve kinetics of particle
problem in rectilinear motion
Quiz
3 Kinetics of Particle · Solve kinetics of particle problem in circular motion Assignment
4 Kinetics of Particles Energy
and
Momentum Methods
· Work of a Force
· Kinetic Energy of a Particle.
- Principle of Work and Energy
· Applications of the Principle of Work and Energy
5 Systems of Particles · Application of Newton’s laws to the motion of systems of
particles
· Linear and Angular Momentum of a System of Particles
Mid Term Test
6 Systems of Particles · Kinetic Energy of a system of particles
· Work-Energy Principle.
-Conservation of Energy for a System of Particles
· Principle of Impulse and Momentum for a System of
Particles
Assignment
7 Kinematics of Rigid Body · Absolute and Relative Velocity in Plane Motion
· Instantaneous Center of Rotation in Plane Motion
8 Project
Kinematic of Particles
• Particle kinetics includes:
• Rectilinear motion: position, velocity, and acceleration of a
particle as it moves along a straight line.
• Curvilinear motion: position, velocity, and acceleration of a
particle as it moves along a curved line in two or three
dimensions.
RECTILINEAR MOTION
Rectilinear Motion
Today’s Objectives:
Students will be able to:
1. Find the kinematic quantities (position, displacement, velocity, and
acceleration) of a particle traveling along a straight path.
Learning topics:
• Applications
• Relations between s(t), v(t),
and a(t) for general
rectilinear motion.
• Relations between s(t), v(t),
and a(t) when acceleration is
constant.
15
INTRODUCTION & RECTILINEAR KINEMATICS:
NTINUOUS MOTION
The motion of large objects,
such as rockets, airplanes, or
cars, can often be analyzed
as if they were particles.
Why?
If we measure the altitude
of this rocket as a function
of time, how can we
determine its velocity and
acceleration?
16
APPLICATIONS
A train travels along a straight length oftrack.
Can we treat the train as a particle?
If the train accelerates at a constant rate, how can we
determine its position and velocity at some instant?
17
APPLICATIONS
(continued)
18
RECTILINEAR
KINEMATICS
19
RECTILINEAR KINEMATICS
Difference between displacement
and distance traveled
• ∆s : displacement
• sT : distance traveled
- Velocity have direction (positive or negative) depending on what?
- Speed is the magnitude for velocity
- What is the difference in average velocity and average speed?
21
RECTILINEAR KINEMATICS
Average velocity and speed
23
RECTILINEAR KINEMATICS
How does these values look like as a graph?
24
RECTILINEAR KINEMATICS
25
RECTILINEAR KINEMATICS
26
RECTILINEAR KINEMATICS
27
RECTILINEAR KINEMATICS
28
RECTILINEAR KINEMATICS
29
EXAMPLE 1
30
EXAMPLE 1
31
EXAMPLE 1
32
EXAMPLE 2
33
EXAMPLE 2
34
EXAMPLE 2
35
EXAMPLE 2
TUTORIAL
TUTORIAL(1)
(1) The car in Figure 1 moves in a
straight line such that for a short
time its velocity is defined by
v = (3t2
+ 2t) m/s, where t is in
seconds. Determine its position
and acceleration when t = 3 s.
When t = 0, s = 0.
TUTORIAL(2)
2) A small projectile is fired vertically downward
into a fluid medium with an initial velocity of 60
m/s. Due to the drag resistance of the fluid the
projectile experiences a deceleration of a = (-
0.4v3
) m/s2
, where v is in m/s. Determine the
projectile’s velocity and position 4 s after it is
fired.
TUTORIAL(3)
During a test a rocket travels upward at 75
m/s, and when it is 40 m from the ground
its engine fails. Determine the maximum
height sB reached by the rocket and its
speed just before it hits the ground. While
in motion the rocket is subjected to a
constant downward acceleration of 9.81
m/s2
due to gravity. Neglect the effect of
air resistance.
145

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dynamic.pdf

  • 2. Course Synopsis This course intends to apply the knowledge of basic principles of engineering dynamics including kinetics and kinematics motion of a point in both one and two dimensions, velocity in 1-D and 2-D and break down into components, methods of energy and momentum, Newton’s laws of motion, vectors components and magnitudes as well as rigid body motion.
  • 3. Course Outcomes By the end of semester, students should be able to: CO1 CO2 CO3 Solve kinematic and kinetic problems for particles, systems of particles and rigid bodies. Explain momentum and energy methods problem for particles, systems of particles and rigid bodies Design and present a case study/laboratory experiment related to principles of dynamics. BTM2124 3
  • 4. Week-by-Week Topic Coverage Week Topic 2-3 Kinematics of Particle 4-5 Kinetics of Particle 6-7 Kinetics of Particles Energy and Momentum Methods 8-10 Systems of Particles 11-13 Kinematics of Rigid Body 14 Preparation Week BTM2124 4
  • 5. Teaching Plan Semester I Session 2020/2021 • Course Description • Course Code • Credit Hours • References : Engineering Dynamics : BTM1223 : 3 : Russel C. Hibbeler: Engineering Mechanics: Statics and Dynamics Assessment Plan Final Examination : 40% Test : 25% (Test 1 and Test 2) Quiz : 5% (Quiz 1 and Quiz 2) Project : 30 % (Report and Presentation) BTM2124 5
  • 6. Chapter 1: Kinematic of Particles INTRODUCTION
  • 7. 7 Mechanics: The study of how bodies react to forces acting on them. Dynamics: 1.Kinematics – concerned with the geometric aspects of motion 2.Kinetics - concerned with the forces causing the motion Statics: The study of bodies in equilibrium. An Overview of Mechanics
  • 8. Fdrag Flift Kinematic of Particles • Dynamics includes: Kinematics: study of the geometry of motion. Relates displacement, velocity, acceleration, and time without reference to the cause of motion. thrust Kinetics: study of the relations existing between the forces acting on a body, the mass of the body, and the motion of the body. Kinetics is used to predict the motion caused by given forces or to determine the forces required to produce a given motion. F
  • 11. Syllabus (will change) Topic Content Note 1 Introduction and Review Review of Syllabus and Grading Policies 2 Kinematics of Particle · Solve problems in rectangular coordinates · Solve kinetics of particle problem in rectilinear motion Quiz 3 Kinetics of Particle · Solve kinetics of particle problem in circular motion Assignment 4 Kinetics of Particles Energy and Momentum Methods · Work of a Force · Kinetic Energy of a Particle. - Principle of Work and Energy · Applications of the Principle of Work and Energy 5 Systems of Particles · Application of Newton’s laws to the motion of systems of particles · Linear and Angular Momentum of a System of Particles Mid Term Test 6 Systems of Particles · Kinetic Energy of a system of particles · Work-Energy Principle. -Conservation of Energy for a System of Particles · Principle of Impulse and Momentum for a System of Particles Assignment 7 Kinematics of Rigid Body · Absolute and Relative Velocity in Plane Motion · Instantaneous Center of Rotation in Plane Motion 8 Project
  • 12. Kinematic of Particles • Particle kinetics includes: • Rectilinear motion: position, velocity, and acceleration of a particle as it moves along a straight line. • Curvilinear motion: position, velocity, and acceleration of a particle as it moves along a curved line in two or three dimensions.
  • 15. Today’s Objectives: Students will be able to: 1. Find the kinematic quantities (position, displacement, velocity, and acceleration) of a particle traveling along a straight path. Learning topics: • Applications • Relations between s(t), v(t), and a(t) for general rectilinear motion. • Relations between s(t), v(t), and a(t) when acceleration is constant. 15 INTRODUCTION & RECTILINEAR KINEMATICS: NTINUOUS MOTION
  • 16. The motion of large objects, such as rockets, airplanes, or cars, can often be analyzed as if they were particles. Why? If we measure the altitude of this rocket as a function of time, how can we determine its velocity and acceleration? 16 APPLICATIONS
  • 17. A train travels along a straight length oftrack. Can we treat the train as a particle? If the train accelerates at a constant rate, how can we determine its position and velocity at some instant? 17 APPLICATIONS (continued)
  • 20. Difference between displacement and distance traveled • ∆s : displacement • sT : distance traveled
  • 21. - Velocity have direction (positive or negative) depending on what? - Speed is the magnitude for velocity - What is the difference in average velocity and average speed? 21 RECTILINEAR KINEMATICS
  • 24. How does these values look like as a graph? 24 RECTILINEAR KINEMATICS
  • 37. TUTORIAL(1) (1) The car in Figure 1 moves in a straight line such that for a short time its velocity is defined by v = (3t2 + 2t) m/s, where t is in seconds. Determine its position and acceleration when t = 3 s. When t = 0, s = 0.
  • 38. TUTORIAL(2) 2) A small projectile is fired vertically downward into a fluid medium with an initial velocity of 60 m/s. Due to the drag resistance of the fluid the projectile experiences a deceleration of a = (- 0.4v3 ) m/s2 , where v is in m/s. Determine the projectile’s velocity and position 4 s after it is fired.
  • 39. TUTORIAL(3) During a test a rocket travels upward at 75 m/s, and when it is 40 m from the ground its engine fails. Determine the maximum height sB reached by the rocket and its speed just before it hits the ground. While in motion the rocket is subjected to a constant downward acceleration of 9.81 m/s2 due to gravity. Neglect the effect of air resistance.
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