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Two discs A and B are mounted coaxially on a vertical axle. The discs have moments of inertia I and 2I respectively about the common axis. Disc A is imparted an initial angular velocity 2omega using the entire potential energy of a spring compressed by a distance x_(1). Disc B is imparted an angular velocity omega by a spring having the same spring constant and compressed by a distance x_(2). Both teh discs rotate in the clockwise direction. The ratio (x_(1))/(x_(2)) is : |
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Answer» 2 `therefore (1)/(2)I(2omega)^(2)=(1)/(2)kx_(1)^(2)` and `(1)/(2)xx2Iomega^(2)=(1)/(2)kx_(2)^(2)` DIVIDING `(x_(1)^(2))/(x_(2)^(2))=2and(x_(1))/(x_(2))=sqrt(2)` |
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