JEE Mains · Physics · STD 11 - 6. system of particles and rotational motion
For a uniform rectangular sheet shown in the figure, the ratio of moments of inertia about the axes perpendicular to the sheet and passing through \(O\) (the centre of mass) and \(O ^{\prime}(\) corner point \()\) is
- A \(1 / 2\)
- B \(2 / 3\)
- C \(1 / 8\)
- D \(1 / 4\)
Answer & Solution
Correct Answer
(D) \(1 / 4\)
Step-by-step Solution
Detailed explanation
Rectangular sheet \(I _{ O }=\frac{ M }{12}\left[ L ^{2}+ B ^{2}\right]=\frac{ M }{12}\left[80^{2}+60^{2}\right]\) \(I _{ O }= I _{0}+ Md ^{2}\{\) parallel axis theorem \(\}\) \(\quad=\frac{ M }{12}\left[80^{2}+60^{2}\right]+ M [50]^{2}\)…
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