Two disks \( A \) and \( B \) are mounted coaxially on a vertical axle. The disks have moments o...
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0Two disks \( A \) and \( B \) are mounted coaxially on a vertical axle. The disks have moments of inertia \( I \) and \( 2 I \) respectively about the common axis. Disk \( A \) is imparted an initial angular velocity \( 2 \omega \) using the entire potential energy of a spring compressed by a distance \( x_{1} \). Disk \( B \) is imparted an angular velocity \( \omega \) by a spring having the same spring constant and compressed by a distance \( x_{2} \). Both the disks rotate in the clockwise direction.
The ratio \( x_{1} / x_{2} \) is
(A) 2
(B) \( \frac{1}{2} \)
(C) \( \sqrt{2} \)
(D) \( \frac{1}{\sqrt{2}} \)
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