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MHT CET 2026 (19 May, Shift 2) · Moment of Inertia & Radius of Gyration

Moment of Inertia & Radius of Gyration question from MHT CET 2026 (19 May, Shift 2)

Q9MHT CET 2026 · 19 MAY · SHIFT 2Medium

Moment of Inertia & Radius of Gyration

Three rings each of mass MM and radius RR are arranged as shown in the figure. The moment of inertia of a system about axis YY′YY' will be

Figure

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Answer: (c)

  1. Ring A: YY′YY' is its diameter, IA=12MR2I_A = \frac{1}{2}MR^2.
  2. Rings B, C: YY′YY' is a tangent in their plane, I=12MR2+MR2=32MR2I = \frac{1}{2}MR^2 + MR^2 = \frac{3}{2}MR^2 each.
  3. I=12MR2+2×32MR2=72MR2I = \frac{1}{2}MR^2 + 2\times\frac{3}{2}MR^2 = \frac{7}{2}MR^2
  4. So the answer is (c) 7MR22\frac{7MR^2}{2}.
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