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  • Two identical solid spheres each of mass 2 kg and radii 10 cm are fixed at the ends of a light rod. The separation between the centres of the spheres is 40 cm. The moment of inertia of the s

Two identical solid spheres each of mass 2 kg and radii 10 cm are fixed at the ends of a light rod. The separation
between the centres of the spheres is 40 cm. The moment of inertia of the system about an axis perpendicular
to the rod passing through its middle point is __________ × 10-3 kg-m2

Option: 1

176


Option: 2

-


Option: 3

-


Option: 4

-


Answers (1)

best_answer

Using parallel axix theorem,
\begin{aligned} & I_{s y s}=\left(\frac{2}{5} m r^2+m d^2\right) \times 2 \\ & \Rightarrow I_{s y s}=\left(\frac{2}{5} \times 2 \times 0.01+2 \times 0.04\right) \times 2=(0.008+0.08) \times 2=0.088 \times 2=176 \times 10^{-3} \end{aligned}
 

Posted by

seema garhwal

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