MHT CET · Physics · Rotational Motion
Moment of inertia of a disc about a diameter is \(I .\) Find the moment of inertia of disc about an axis perpendicular to its plane and passing through its rim?
- A \(6 I\)
- B \(4 I\)
- C \(2 I\)
- D \(8 I\)
Answer & Solution
Correct Answer
(A) \(6 I\)
Step-by-step Solution
Detailed explanation
Moment of inertia of a disc about a diameter is
\(\frac{1}{4} M R^{2}=I\)
(given)
\(\therefore M R^{2}=4 I\)
Now, required moment of inertia \(=\frac{3}{2} M R^{2}\)
\(=\frac{3}{2}(4 I)=6 I\)
\(\frac{1}{4} M R^{2}=I\)
(given)
\(\therefore M R^{2}=4 I\)
Now, required moment of inertia \(=\frac{3}{2} M R^{2}\)
\(=\frac{3}{2}(4 I)=6 I\)
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