Let the moment of inertia of a hollow cylinder of length
, inner radius
and outer radius
about its axis be
. The radius of a thin cylinder of the same mass such that its moment of inertia about its axis is also
, is found to be
, then the value of
is
Text Solution
Verified by ExpertsGiven, moment of inertia of a hollow cylinder
Radius of hollow cylinder
(inner radius),
(outer radius) are
, respectively.
Moment of inertia of hollow cylinder about its axis,

Moment of inertia of thin hollow cylinder of radius
about its axis, 
Given,
and
is equal and both cylinders have same mass
, so

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