Questions
A rod is placed along the line y = 2x with its centre at origin. The moment of inertia of the rod is maximum about
a
X-axis
b
Y-axis
c
Z-axis
d
Data insufficient
detailed solution
Correct option is C
The given situation of rod is shown below. Suppose a mass particle situated at point P(x, y)Hence, distance of mass particle from X-axis = x, distance of mass particle from Y-axis = y and distance of mass particlefrom Z-axis, a=x2+y2Clearly, a > x a > ySince, moment of inertia, I ∝ (distance)2,Hence, moment of inertia of the rod is maximum about Z-axis.Talk to our academic expert!
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