Question

Which of the following has the smallest moment of inertia about the central axis if all have equal masses and radii A) Ring
B) Disc
C) Spherical shell
D) Sphere​

Answer 1

Explanation:

1. moment of inertia of ring=mr²/2
2. disc=mr²

the answer will be ring

Answer 2

The correct answer is option (D) Sphere.

• The moment of inertia, otherwise known as the mass moment of inertia, angular mass, second moment of mass, or most accurately, rotational inertia, of a rigid body is a quantity that determines the torque .
• Among all Sphere has the smallest moment of inertia about the central axis if all have equal masses and radii A.
• The moment of Inertia of a ring is MR², The moment of Inertia of a Disc is MR²/2, The moment of Inertia of a 2/3 MR² and The moment of Inertia of a 2/5 MR².