ES 210
Dynamics
Week 15
1 of 11
Reminder: The Final Exam is Wednesday, 9 May 2012, 13:00 15:00
o The Final is comprehensive and may include problems from the
entire course. However, the majority of the problems will be over
topics covered since Exam #2.
T

ES 210
Dynamics
Week 07
1 of 15
Last time we introduced the concepts of work and kinetic energy.
o Work is force acting through a distance. Mathematically:
2
U 12 = F dr
(1)
1
Since work is associated with a force, it is also dependent on
the particles ma

ES 210
Dynamics
Week 09
1 of 16
Today well return to our investigation of kinematics.
This time well
concentrate on the kinematics of rigid bodies.
o As was the case when we investigated the kinematics of particles,
our goal is to analyze motion.
Now, we

ES 210
Dynamics
Week 04
1 of 16
To this point, weve limited our investigation of Dynamics to a kinematics
or a geometric point of view. Today well expand our approach to take in
kinetics.
o Kinetics allows us to account for forces and energy of bodies
(pa

ES 210
Dynamics
Week 02
1 of 21
Lets begin our study of Dynamics by investigating the kinematic aspects
of linear motion.
o Kinematics deals with the geometric aspects of the motion.
o In
particular,
we
will
look
at
the
relationships
between
position/disp

ES 210
Dynamics
Week 08
1 of 20
Last time we introduced the principle of impulse and momentum.
t2
(mi vi )1 + Fi dt = (mi vi )2
(1)
t1
o The momentum of a particle is its mass x its velocity. So, for a
multi-particle system, the 1st and last terms in eqn

ES 210
Dynamics
Week 12
1 of 19
We ended last time with the general equations of motion for rigid bodies
from a kinetics point of view.
F = m(a )
F = m(a )
M = I
x
Gx
(1)
y
Gy
(2)
G
G
(3)
Lets now apply these general equations to the three types of mot

ES 210
Dynamics
Week 06
1 of 8
Class meeting 14 will be used to take the first Exam.
o Exam #1 will cover the material weve discussed to-date.
o This is the material on kinematics and kinetics for particle motion
from Chapters 12 & 13 of the text, the ass

ES 210
Dynamics
Week 13
1 of 18
Last time we looked at the principle of work and energy as it applies to
rigid bodies:
(ke)1 + U 12 = (ke)2
(1)
The work term in eqn (1) consists of forces acting through a
displacement.
o These forces may be classified as

ES 210
Dynamics
Week 14
1 of 7
Last time we investigated the momentum of a rigid body system. Now,
lets combine this knowledge with a look at forces acting on the body in
order to develop the Principle of Impulse & Momentum for rigid bodies.
o By combinin

ES 210
Dynamics
Week 03
1 of 16
Up to this point we have introduced the equations of motion and
mentioned that it is advantageous to analyze motion within the structure of
some sort of reference frame.
o The equations of motion relate the properties of lo