Question

.When does the moment of inertia of a body come into the picture?

(a) When the motion is rotational

(b) When the motion is linear

(c) When the motion is along a curved path

(d) None of the above​

Answer 1

( A ) when the motion is rotational

Answer 2

(a)when the motion is rotational.

Explanation:

• Moment is defined as the capacity of a system that to oppose the change produced in the rotational motion of a body.

• Moment of inertia is the measure of resistance that a body to its angular acceleration about the given axis of that is equal to the sum of  product of each of the element of mass in the body & square of the element's distance from axis.

• In a General form Moment of Inertia is expressed as below:

                                            I = m × $r^{2}$

where,

m = Sum of a product of the mass.

r = Distance from axis of rotation.

• The dimensional formula of a moment of inertia is given by,

        $M^{1}$$L^{2}$$T^{0}$

It comes into play in the rotational motion of rigid bodies.

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