JEE PYQ: Rotational Motion Question 37
Question 37 - 2020 (07 Jan Shift 2)
Mass per unit area of a circular disc of radius $a$ depends on the distance $r$ from its centre as $\sigma(r) = A + Br$. The moment of inertia of the disc about the axis, perpendicular to the plane and passing through its centre is:
(1) $2\pi a^4\left(\frac{A}{4} + \frac{aB}{5}\right)$
(2) $2\pi a^4\left(\frac{aA}{4} + \frac{B}{5}\right)$
(3) $\pi a^4\left(\frac{A}{4} + \frac{aB}{5}\right)$
(4) $2\pi a^4\left(\frac{A}{4} + \frac{B}{5}\right)$
BETA
