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Physics
Physics
Problem
Which of the following expressions gives the
x
x
x
–coordinate of the center of mass for a system of
n
n
n
particles located along a straight line? a)
x
c
m
=
∑
m
i
2
x
i
∑
m
i
2
x_{cm}=\dfrac{\sum m_i^{\,2} x_i}{\sum m_i^{\,2}}
x
c
m
=
∑
m
i
2
∑
m
i
2
x
i
b)
x
c
m
=
∑
x
i
n
x_{cm}=\dfrac{\sum x_i}{n}
x
c
m
=
n
∑
x
i
c)
x
c
m
=
∑
m
i
x
i
∑
m
i
x_{cm}=\dfrac{\sum m_i x_i}{\sum m_i}
x
c
m
=
∑
m
i
∑
m
i
x
i
d)
x
c
m
=
∑
x
i
m
i
∑
1
m
i
x_{cm}=\dfrac{\sum \dfrac{x_i}{m_i}}{\sum \dfrac{1}{m_i}}
x
c
m
=
∑
m
i
1
∑
m
i
x
i
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