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  • If a solid sphere of mass 5 kg and a disc of mass 4 kg have the same radius. Then the ratio of moment of inertia of the disc about a tangent in its plane to the moment of inertia of the sphere abou

If a solid sphere of mass 5 kg and a disc of mass 4 kg have the same radius. Then the ratio of moment of inertia of the disc about a tangent in its plane to the moment of inertia of the sphere about its tangent will be \frac{x}{7} . The the value of is _________.

Option: 1

5


Option: 2

-


Option: 3

-


Option: 4

-


Answers (1)

best_answer

 

\begin{aligned} & \mathrm{I}_1=\frac{2}{5} \mathrm{~m}_1 \mathrm{R}^2+\mathrm{m}_1 \mathrm{R}^2 \\ & \mathrm{I}_1=\mathrm{m}_1 \mathrm{R}^2\left(\frac{7}{5}\right) \\ & \mathrm{I}_1=7 \mathrm{R}^2 \end{aligned}

\begin{aligned} & \mathrm{I}_2=\frac{\mathrm{m}_2 \mathrm{R}^2}{4}+\mathrm{m}_2 \mathrm{R}^2 \\ & \mathrm{I}_2=\frac{5}{4} \mathrm{~m}_2 \mathrm{R}^2 \\ & \mathrm{I}_2=5 \mathrm{R}^2 \\ & \frac{\mathrm{I}_2}{\mathrm{I}_1}=\frac{5}{7} \\ & \mathrm{x}=5 \end{aligned}

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Shailly goel

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