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  • A solid sphere and a solid cylinder of same mass and radius are rolling on a horizontal surface without slipping. The ratio of their radius of gyrations respectively   <img alt="\l

A solid sphere and a solid cylinder of same mass and radius are rolling on a horizontal surface without slipping.
The ratio of their radius of gyrations respectively   \left(\mathrm{k}_{\text {sph }}: \mathrm{k}_{\text {eyl }}\right) \text { is } 2: \sqrt{\mathrm{x}}.   The value of x is ______

Option: 1

5


Option: 2

-


Option: 3

-


Option: 4

-


Answers (1)

best_answer

\begin{aligned} & \mathrm{I}_{\text {sphere }}=\frac{2}{5} \mathrm{MR}^2=\mathrm{Mk}^2 \\ & \mathrm{k}_{\mathrm{sph}}=\sqrt{\frac{2}{5}} \mathrm{R} \\ & I_{\text {cylinder }}=\frac{\mathrm{MR}^2}{2}=\mathrm{Mk}^2 \\ & \mathrm{k}_{\mathrm{cyl}}=\frac{\mathrm{R}}{\sqrt{2}} \\ & \frac{k_{\text {sph }}}{k_{\text {cyl }}}=\frac{2}{\sqrt{5}} \\ & x=5 \\ & \end{aligned}

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jitender.kumar

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