The distance of centre of mass from end A of a one dimensional rod (AB) having mass density ρ=ρ₀(1-(x²)/(L²)) kg / m and length L (in meter) is (3 L)/(α) m. The value of α is _ _ _ _ _ _. (where x is the distance from end A)

Rotational Motion: JEE Main 2022 Physics question

JEE Main 2022 · 28 Jul, Evening shift · Q52

JEE Main 202228 Jul, Evening shiftPhysicsMediumRotational Motion140× since 2002

The distance of centre of mass from end A of a one dimensional rod (AB) having mass density

\rho=\rho_{0}\left(1-\frac{x^{2}}{L^{2}}\right) \mathrm{kg} / \mathrm{m}

and length L (in meter) is

\frac{3 L}{\alpha} \mathrm{m}

. The value of

\alpha

is ___________. (where x is the distance from end A)

Your answerType your answer. Integers and decimals are accepted.

JEE Main 2022 Rotational Motion Question with Answer (28 Jul Evening shift, Q52) | JEE Arc