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Physics
Physics
Problem
For a system of discrete particles, each of mass
m
i
m_i
m
i
positioned at perpendicular distance
r
i
r_i
r
i
from a fixed axis, the moment of inertia
I
I
I
about that axis is given by ____. a)
I
=
1
2
∑
i
m
i
r
i
2
I = \dfrac{1}{2}\,\sum_i m_i r_i^{2}
I
=
2
1
∑
i
m
i
r
i
2
b)
I
=
∑
i
m
i
r
i
2
n
I = \dfrac{\sum_i m_i r_i^{2}}{n}
I
=
n
∑
i
m
i
r
i
2
c)
I
=
∑
i
m
i
r
i
2
I = \sum_i m_i r_i^{2}
I
=
∑
i
m
i
r
i
2
d)
I
=
(
∑
i
m
i
)
(
∑
i
r
i
2
)
n
I = \dfrac{\left(\sum_i m_i\right)\left(\sum_i r_i^{2}\right)}{n}
I
=
n
(
∑
i
m
i
)
(
∑
i
r
i
2
)
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