Ch 9
Review &
Summary
Center of Mass The center of mass of a system of
n
particles is defined to be the point whose
coordinates are given by
(95)
or
(98)
where
M
is the total mass of the system.
Newton's Second Law for a System of Particles The motion of the center of mass of any system
of particles is governed by Newton's second law for a system of particles, which is
(914)
Here
is the net force of all the external forces acting on the system,
M
is the total mass of
the system, and
is the acceleration of the system's center of mass.
Linear Momentum and Newton's Second Law For a single particle, we define a quantity
called
its linear momentum as
(922)
and can write Newton's second law in terms of this momentum:
(923)
For a system of particles these relations become
(925,927)
Collision and Impulse Applying Newton's second law in momentum form to a particlelike body
involved in a collision leads to the impulse–linear momentum theorem:
(931,932)
where
is the change in the body's linear momentum, and
is the impulse due to
the force
exerted on the body by the other body in the collision:
(930)
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 Fall '07
 Griffo
 Center Of Mass, Mass, Momentum, Collision

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