Question

Which of the following has largest moment of inertia
A. Ring about its axis perpendicular to its plane.
B. Disc about its axis perpendicupar to its plane.
C. Solid sphere.
D. Bar magnet.

Answer 1

A. Ring about its axis perpendicular to its plane

Answer 2

Ring about its axis perpendicular to its plane has largest moment of inertia ( Option A is the correct answer)

• The quantity described by the body resisting angular acceleration is the sum of the product of each particle's mass with its square of the distance from the axis of rotation.
• Moment of inertia of a ring about its axis and perpendicular to its plane = Mr²
• Moment of inertia of a disc about its axis and perpendicular to its plane = ½Mr²= 0.5 Mr²
• Moment of inertia of a solid sphere about one of its diameter = ⅖Mr² = 0.4 Mr²
• Moment of inertia of a spherical shell about one of its diameter = ⅔ Mr² = 0.66 Mr²

Hence, Ring about its axis perpendicular to its plane has largest moment of inertia.

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