NEET 2016 Physics question
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?
Answer: (2)
Solution
Treat the remaining part as (full disc) minus (hole), using the superposition (subtraction) principle for moments of inertia about the same axis. Surface density . The hole has radius , so its mass is . Its centre lies at a
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