A uniform disc of radius a has a hole of radius b at a distance c from the centre as shown. If the disc is free to rotate about a rod passing through the hole b, then find the MOI about the axis of rotation.
A
B
M 
C
D
None
Text Solution
Verified by ExpertsThe correct answer is:
A
Let ρ ρ be the mass per unit area. Then MOI of the disc about O'I = π π ρ ρ a 2 
+ π π ρ ρ a 2 (c 2 ) - π π b 2 ρ ρ 
= 
= 
and ρ ρ = 
= 
= 
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