Three identical uniform thin metal rods form the three sides of an equilateral triangle. If the moment of inertia of the system of these three rods about an axis passing through the centroid of the triangle and perpendicular to the plane of the triangle is 
times. The moment of inertia of one rod separately about an axis passing through the centre of the rod and perpendicular to its length, the value of 
is
Text Solution
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Let the length of the rod be 
.
The moment of inertia of one rod separately about an axis passing through the centre of the rod and perpendicular to its length, 
Moment of inertia of the system of 3rods
According to the question 
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