A uniform solid sphere of mass and radius has the same rotational inertia for any…
PHYSICS · Single correct · CBSE · Physics · System of Particles and Rotational Motion · System of Particles and Rotational Motion
Problem
A uniform solid sphere of mass M and radius R has the same rotational inertia for any axis passing through its center. Which statement best explains this observation?
(a) Rotational inertia depends only on the sphere’s total mass and radius, not on the orientation of the axis.
(b) The mass is distributed uniformly in all directions, so for any central axis the mass elements are, on average, the same distance from that axis.
(c) Because gravitational force is spherically symmetric, rotational inertia must be identical for every axis through the center.
(d) All points inside a sphere are the same distance from the center, so every axis through the center encloses the same mass.