Which one of the following statements concerning the moment of inertia I is fals

Question

Which one of the following statements concerning the moment of inertia I is false?
(a) I may be expressed in units of kg · m2.
(b) I depends on the angular acceleration of the object as it rotates.
(c) I depends on the location of the rotation axis relative to the particles that make up the object.
(d) I depends on the orientation of the rotation axis relative to the particles that make up the object.
(e) Of the particles that make up an object, the particle with the smallest mass may contribute the
greatest amount to I.

Explanation / Answer

(b) I depends on the angular acceleration of the object as it rotates.

moment of inertia is given as

I = mr2    where m = mass of the particle , r = perpendicular distance of the particle from axis of rotation

clearly the moment of inertia does not depend on the angular acceleration

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