MHT CET · Physics · Rotational Motion
The radius of gyration of a circular disc of radius R and mass m rotating about diameter as axis is
- A \(\mathrm{R} \sqrt{2}\)
- B \(\mathrm{R} / \sqrt{2}\)
- C \(R / 2\)
- D R
Answer & Solution
Correct Answer
(C) \(R / 2\)
Step-by-step Solution
Detailed explanation
For circular disc rotating about its diameter, \(I=\frac{1}{4} m R^2\)
Radius of gyration \((k)=\sqrt{\frac{I}{m}}=\sqrt{\frac{\frac{1}{4} m R^2}{m}}=\frac{R}{2}\)
Radius of gyration \((k)=\sqrt{\frac{I}{m}}=\sqrt{\frac{\frac{1}{4} m R^2}{m}}=\frac{R}{2}\)
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