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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.
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Last time we introduced the concepts of work and kinetic energy.
o Work is force acting through a distance. Mathematically:
U 12 = F dr
Since work is associated with a force, it is also dependent on
the particles ma
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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.
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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
o Kinetics allows us to account for forces and energy of bodies
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Lets begin our study of Dynamics by investigating the kinematic aspects
of linear motion.
o Kinematics deals with the geometric aspects of the motion.
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Last time we introduced the principle of impulse and momentum.
(mi vi )1 + Fi dt = (mi vi )2
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
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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
Lets now apply these general equations to the three types of mot
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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
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Last time we looked at the principle of work and energy as it applies to
(ke)1 + U 12 = (ke)2
The work term in eqn (1) consists of forces acting through a
o These forces may be classified as
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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
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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