Three rings, each of mass P and radius Q are arranged as shown in the figure. The moment of inertia of the arrangement about Y Y ′ axis will be

Question

Three rings, each of mass P and radius Q are arranged as shown in the figure. The moment of inertia of the arrangement about Y Y ′ axis will be, 7 2 P Q 2, 2 7 P Q 2, 2 5 P Q 2, 5 2 P Q 2

MARKS App · Accepted Answer

For ring 1 and 2 using parallel axis theorem, I 1 = I 2 = I c m + M d 2 I 1 = I 2 = 1 2 P Q 2 + P Q 2 I 1 = I 2 = 3 2 P Q 2 For ring 3 , I 3 = 1 2 P Q 2 Moment of inertia of the arrangement, I = I 1 + I 2 + I 3 I = 3 2 P Q 2 + 3 2 P Q 2 + 1 2 P Q 2 I = 7 2 P Q 2

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