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Question

Three 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 of the rod is at the origin. The moment of inertia of this system about Z axis is.

A
2ML23
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B
4ML23
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C
5ML23
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D
7ML23
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Solution

The correct option is A 2ML23
Moment of inertia of the system about z-axis can be find out by calculating the moment of inertia of individual rod about z-axis
I1=I2=ML23 because z-axis is the edge of rod 1 and 2
and I3=0 because rod in lying on z-axis
ISystem=I1+I2+I3=ML23+ML23+0=2ML23.

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