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Byju's Answer
Standard IX
Physics
Center of Mass as an Average Point
ntthe linear ...
Question
ntthe linear mass density d of a rod of length l kepth along x axis varies as d=a+bx , where a and b are positive constants. the centre of mass of the rod is atn
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Similar questions
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.
If the linear mass density of a rod of length
L
lying along x-axis and origin at one end varies as
λ
=
A
+
B
x
, where
A
and
B
are constants, find the coordinates of the centre of mass.
Q.
A rod of length
6
m
is placed along the
x
−
axis between
x
=
0
and
x
=
6
m
. The linear density (mass/length)
λ
of the rod varies with the distance
x
from the origin as
λ
=
k
(
10
−
x
)
. Here
k
is a positive constant. Find the position of the 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
x
from the origin as
λ
=
k
x
2
. Here
k
is a positive constant. Find the position of the 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
x
from the origin as
λ
=
k
x
2
. Here
k
is a positive constant. Find the position of the centre of mass of this rod.
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