1
Unit 6
Center of Mass
6.1
System of particles
6.2
Collision and the Newton’s second law for a system of particles
6.3
Appendix – Centers of mass of uniform bodies
6.1
System of particles
(1)
Two particles in 1-D
Total mass:
M
m
m
=
+
1
2
We set a reference zero
O
on the line along the particles.
Center of mass:
x
m x
m x
m
m
m x
m x
M
CM
≡
+
+
=
+
1
1
2
2
1
2
1
1
2
2
If
m
m
m
1
2
=
=
then
x
m x
x
m
x
x
CM
=
+
=
+
(
)
1
2
1
2
2
2
1
x
2
x
d
1
m
2
m
x
0

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