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JEE Mains · Physics · STD 11 - 6. system of particles and rotational motion

\(\mathrm{A}, \mathrm{B}\) and C are disc, solid sphere and spherical shell respectively with same radii and masses. These masses are placed as shown in figure.
image
The moment of inertia of the given system about \(P Q\) is \(\frac{X}{15} I\), where \(I\) is the moment of inertia of the disc about its diameter. The value of x is _______.

  1. A 188
  2. B 199
  3. C 177
  4. D 166
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Answer & Solution

Correct Answer

(B) 199

Step-by-step Solution

Detailed explanation

All bodies have same mass and same radius. \(\mathrm{A} \rightarrow\) Disc \(\mathrm{B} \rightarrow\) Solid sphere \(\mathrm{C} \rightarrow\) Spherical shell and, \(\mathrm{I}=\frac{\mathrm{MR}^2}{4}\)…
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