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JEE PYQ: Rotational Motion Question 44

Question 44 - 2019 (08 Apr Shift 1)

A thin circular plate of mass $M$ and radius $R$ has its density varying as $\rho(r) = \rho_0,r$ with $\rho_0$ as constant and $r$ is the distance from its center. The moment of Inertia of the circular plate about an axis perpendicular to the plate and passing through its edge is $I = aMR^2$. The value of the coefficient $a$ is:

(1) $\frac{1}{2}$

(2) $\frac{3}{5}$

(3) $\frac{8}{5}$

(4) $\frac{3}{2}$

Show Answer

Answer: (3)


Learning Progress: Step 44 of 70 in this series