A thin square plate has mass
and side
. Four holes, each of radius
, are cut out as shown in following figure. The ratio of moment of inertia of the remaining portion to the moment of inertia of the complete place is
Text Solution
Verified by Experts0.26
(0.26) According to the figure, mass per unit area of the plate, 

But mass of each hole, 

Since 
Distance of the centre of a hole and centre
of the plate

Using parallel axes theorem, the moment of inertia of a hole about the axis,

Moment of inertia of four holes about the
-axis

Moment of inertia of the complete square plate,

Therefore, moment of inertia of the remaining portion about the
-axis,

The required ratio 

──────────────────────────────────────────────────────────────────────────────────────────
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