PHYS 101 Lecture Notes - Lecture 17: Net Force, Xnet

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PHYS 101: Physics for the Life Sciences Lecture 17:
Center of Mass; Momentum and Impulse
1-D:
Consider two particles
M=m1+m2
MXcm=m1x1+m2x2
So the centre of mass along the x-axis is located :
Xcm=m1x1+m2x2
m1+m2
Let’s consider the particle along the x-axis:
Xcm=
i=1
n
mixi
j=1
n
mj
2-D
rcm=xcm î+ycm ĵ
Xcm=
i=1
n
mixi
j=1
n
mj
Ycm=
i=1
n
miyi
j=1
n
mj
Example:
Consider three particles as shown where m1=1 kg, m2=1 kg, m3=2 kg.
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