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What is the moment of inertia of a rod, of mass 1kg & length 6m, about an axis perpendicular to rod’s length and at a distance of 1.5m from one end?(a) 0.75kgm^2(b) 3kgm^2(c) 5.25kgm^2(d) 14.25kgm^2The question was asked in a job interview.My query is from Theorems of Perpendicular and Parallel Axes topic in division System of Particles and Rotational Motion of Physics – Class 11

Answer»

Correct answer is (c) 5.25kgm^2

For EXPLANATION I WOULD say: Moment of inertia about an axis perpendicular to length and passing through COM is equal to MI^2/12.To find I about given axis, we use parallel axis theorem,

I = ICOM + ma^2, where a is the distance between the axis and m is MASS of the body.

I = MI^2/12 + Ma^2

= 1*36/12 + 1*2.25

= 3 + 2.25 = 5.25kgm^2.



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