Match each object in Column-I with its moment of inertia in Column-II. Column-I Column-II (A) Uniform rod mass M, length R, 30° to vertical axis through one end (P) 8MR²/11 (B) Uniform semicircular ri

Question

Match each object in Column-I with its moment of inertia in Column-II.

Column-I	Column-II
(A) Uniform rod mass M, length R, 30° to vertical axis through one end	(P) 8MR²/11
(B) Uniform semicircular ring mass M, radius R, shown perpendicular axis	(Q) MR²/12
(C) Uniform triangular plate mass M, side R, shown in-plane axis	(R) 13MR²/8
(D) Disc initially mass M, radius 2R, circular radius-R part removed	(S) MR²/8

TestHub · Accepted Answer

Rod: I = M R 2 sin 2 3 0 ∘ /3 = M R 2 /12 , so A → Q. Semicircular ring about the shown axis gives I = 8 M R 2 /11 , so B → P. Triangular plate about the shown in-plane axis gives I = M R 2 /8 , so C → S. Subtracting the displaced circular part from the disc gives I = 13 M R 2 /8 , so D → R.

Physics - Rotation Question with Solution | TestHub

Doubts & Discussion