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Applied Mechanics - Engineering

Q1:

The ratio of the moment of inertia of a rectangle about its centroidal axis to the moment of inertia about its base, is

A 1/4

B 1/2

C 3/4

D 2.

ANS:A - 1/4

Moment of Inertia @ Centroidal Axis = (bd^3) / 12.
Moment of inertia @ Base Axis = (bd^3)/3.

Ratio between (Centroidal Axis / Base Axis) = [{(bd^3)/12}/{(bd^3)/3}]

Ratio = 3 / 12.
The answer should equal to 1/4.

Answer - Option A is the correct answer.