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Standard XII
Physics
Com of Solid Bodies
2.A rod of un...
Question
2.A rod of uniform mass placed along x axis with 1 end at origin If length of rod is L and its linear mass density is proportional to x then find distance of its centre of mass from origin.
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Q.
A non-uniform thin rod of length
L
is placed along
x
−
axis as such its one of ends at the origin. The linear mass density of rod is
λ
=
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0
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Q.
A non-uniform thin rod of length
10
m
is placed along
x
- axis such that one of its ends is at the origin. The linear mass density of the rod varies with respect to distance from the end as
λ
=
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, where
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is a constant. Then the position of the centre of mass of the rod w.r.t the origin will be:
Q.
A uniform thin rod of length
10
m
is placed along
x
- axis such that one of its ends is at the origin. The linear mass density of the rod varies with respect to distance from the end as
λ
=
l
0
x
, where
l
0
is a constant. Then the position of the centre of mass of the rod w.r.t the origin will be:
Q.
A rod of length
L
is placed along the
x-axis
between
x
=
0
and
x
=
L
. The linear mass density
(
mass/length
)
ρ
of the rod varies with the distance
x
from the origin as
ρ
=
a
+
b
x
. Here,
a
and
b
are constants. Find the position of centre of mass of this rod.
Q.
A rod of length
L
is placed along the
x
−
axis between
x
=
0
and
x
=
L
. The linear density (mass/length)
λ
of the rod varies with the distance
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k
is a positive constant. Find the position of the centre of mass of this rod.
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