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Three thin rods each of length L and mass M are placed along X, Y and Z axes in such a way that one end of each rod is at the origin as shown. The moment of inertia of this system about Z-axis is

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$\frac{2 {ML}^{2}}{3}$

$\frac{4 {ML}^{2}}{3}$

$\frac{5 {ML}^{2}}{3}$

$\frac{{ML}^{2}}{3}$

answer is A.

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Detailed Solution

Moment of inertia of the rod about Z axis is zero.

$Moment of inertia of the other two rods about one end is \frac{{ML}^{2}}{3} each .$

$Total moment of inertia \frac{2 {ML}^{2}}{3}$

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