14:440:222 Dynamics
(Lecture Note #13)
Instructor: Prof. Peng Song
Rutgers University
Today’s Lecture
•
Angular impulse and angular momentum
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Planets and most satellites move in elliptical orbits.
This motion
is caused by gravitational attraction forces.
Since these forces
act in pairs, the sum of the moments of the forces acting on the
system will be zero.
This means that angular momentum is
conserved.
If the angular momentum is constant, does it mean the linear
momentum is also constant?
Why or why not?
Application
The passengers on the amusementpark
ride experience conservation of angular
momentum about the axis of rotation (the
zaxis).
As shown on the free body
diagram, the line of action of the normal
force, N, passes through the zaxis and
the weight’s line of action is parallel to it.
Therefore, the sum of moments of these
two forces about the zaxis is zero.
If the passenger moves away from the z
axis, will his speed increase or decrease?
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 Fall '11
 R.C.Hibbeler
 Angular Momentum, Force, General Relativity, Angular Impulse

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