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Byju's Answer
Standard XII
Physics
Moment of Inertia of a Disc
87.Linear mas...
Question
87.Linear mass density varies as L=kx .The moment of inertia is maximum for
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Q.
The linear mass density of a thin rod
AB
of length
L
varies from
A
to
B
as
λ
(
x
)
=
λ
0
(
1
+
x
L
)
,
where
x
is the distance from
A
. If
M
is the mass of the rod then its moment of inertia about an axis passing through
A
and perpendicular to the rod is :
Q.
A rod of length
L
rotates about an axis passing through one of its ends and perpendicular to its plane. If the linear mass density of the rod varies as
ρ
=
(
A
r
3
+
B
)
k
g
/
m
, then the moment of inertia of the rod about the given axis of rotation is
Q.
Moment of inertia of the system of two rods having same linear mass density
λ
, about the axis
A
B
as shown in the figure is
Q.
Consider a semicircular ring of radius R. Its linear mass density varies as
λ
=
λ
0
s
i
n
θ
. Locate its centre of mass.
Q.
If the linear density of the rod of length
L
varies as
λ
=
A
+
B
x
, then its centre of mass is given by:
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