From a disc of radius
and mass
, a circular hole of diameter
, whose rim passes through the centre is cut. What is the moment of inertia of the remaining part of the disc about a perpendicular axis, passing through the centre?
Text Solution
Verified by ExpertsD
: Mass per unit area of disc 
Mass of removed portion of disc, 

Moment of inertia of removed portion about an axis passing
through centre of disc
and perpendicular to the plane of disc,



When portion of disc would not have been removed, the moment of inertia of complete disc about centre
is

So, moment ofinertia of the disc with removed portion is

Prepare Smarter with CGP Edu
Get practice questions, solutions, and test series in one place.
Write a Review
Share your experience with this question and solution.
Commentary
Send your comment, doubt, correction, or feedback to admin.
Similar Questions
Explore conceptually related problems