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  4. Assertion :Moment of inertia depends on the axis of rotation and the distribution of the mass of the body. Reason: Moment of inertia is the rotational analogue of mass of the body.

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Q. Assertion :Moment of inertia depends on the axis of rotation and the distribution of the mass of the body.
Reason : Moment of inertia is the rotational analogue of mass of the body.

System of Particles and Rotational Motion

Solution:

We know that
$I =\frac{ m _1 r _1{ }^2+ m _2 r _2{ }^2+ m _3 r _3{ }^3+\ldots . .+ m _{ n } r _{ n }{ }^2}{ m _1+ m _2+ m _3+\ldots . .}$
where $r_1, r_2, r_3$ are distances of mass $m_1, m_2, m_3$ etc. from the axis. From the relation it is clear that I depends upon distribution of the masses and position of axis.
So, Assertion is correct.
We know that,
angular momentum $= I \omega$
Torque $=$ I $\alpha$
If we compare these equations with equations like linear momentum $=m v$, force $=m$, we find that I represents mass in angular motion.