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Standard XII
Physics
Moment of Inertia of Hollow Sphere
The moment of...
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The moment of inertia of solid sphere of mass M and radius R about any †an gent is l0 . The moment of inertia about any diameter sphere i
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Q.
The moment of inertia of solid sphere is
20
k
g
−
m
2
about the diameter. The moment of inertia about any tangent will be
Q.
If the radius of solid sphere is doubled by keeping its mass constant ,compare the moment of inertia about any diameter.
Q.
(a) Find the moment of inertia of a sphere about a tangent to the sphere, given the moment of inertia of the sphere about any of its diameters to be
2
M
R
2
/
5
, where M is the mass of the sphere and R is the radius of the sphere.
(b) Given the moment of inertia of a disc of mass M and radius R about any of its diameters to be
M
R
2
/
4
, find its moment of inertia about an axis normal to the disc and passing through a point on its edge.
Q.
Moment of inertia of solid sphere about its diameter is
I
. If that sphere is recast into
8
identical small spheres, then the moment of inertia of a small sphere about its diameter is:
Q.
Two solid spheres of same mass and radius are in contact with each other. If the moment of inertia of a sphere about its diameter is
I
, then the moment of inertia of both the spheres about the tangent at their common point would be
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