Physics - Rotation Question with Solution | TestHub
Match the following List-I with List-II:
List - I | List - II |
|---|---|
(A) Disc with equal circular cavities centred on the +x and +y axes. | (P) Centre of mass has x_cm > 0. |
(B) Disc with two equal added discs placed symmetrically about the y-axis. | (Q) Centre of mass has y_cm > 0. |
(C) Solid sphere with a spherical cavity centred on the x-axis. | (R) I_x = I_y. |
(D) Disc with two equal square cavities symmetric about the line y=-x. | (S) I_y = I_z. |
| (T) x_cm ≤ 0 and y_cm ≤ 0. |
Options:
Answer:
Solution:
A → R, T: equal cavities on +x and +y preserve Ix=Iy and shift the centre of mass to x≤0, y≤0.
B → Q: symmetric added discs give ycm>0.
C → S, T: axial symmetry gives Iy=Iz; the cavity shifts xcm≤0 while ycm=0.
D → R, T: symmetry gives Ix=Iy and the centre of mass remains at the origin.
