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  • Solid sphere A is rotating about an axis PQ. If the radius of the sphere is 5 cm then its radius of gyration about PQ will be <img alt="\sqrt{x}cm" src="https://entrancecorner.oncodecogs.com/g

Solid sphere A is rotating about an axis PQ. If the radius of the sphere is 5 cm then its radius of gyration about PQ will be \sqrt{x}cm The value of x is _______

Option: 1

110


Option: 2

__


Option: 3

__


Option: 4

__


Answers (1)

best_answer

$$ \begin{aligned} & \mathrm{I}_{\mathrm{PQ}}=\mathrm{I}_{\mathrm{cm}}+\mathrm{md}^2 \\ & \mathrm{mk}^2=\frac{2}{5} \mathrm{mR}^2+\mathrm{md}^2 \Rightarrow \mathrm{k}=\sqrt{\frac{2}{5}(5)^2+(10)^2} \\ & \mathrm{k}=\sqrt{110} \mathrm{~cm} \end{aligned}

 

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manish

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