Rotational Motion

JEE Main level, single correct, medium

238 of 280

Question 238 of 280

A thin circular ring of mass m\mathrm{m} and radius R\mathrm{R} is rotating about its axis with a constant angular velocity ω\omega. Two objects each of mass MM are attached gently to the opposite ends of a diameter of the ring. The ring now rotates with an angular velocity ω′=\omega^{\prime}=

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Answer: (A) ωm(m+2M)\frac{\omega \mathrm{m}}{(\mathrm{m}+2 \mathrm{M})}

Li=LfL_i=L_f
mRR2ω=(mR2+2MR2)ω′m R R^2 \omega=\left(m R^2+2 M R^2\right) \omega^{\prime}
ω′=(mωm+2M)\omega^{\prime}=\left(\frac{m \omega}{m+2 M}\right)

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