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UPSC Civil Service Exam Questions - Engineering

Q1:

xx, x1 x1 and x2 x2 are parallel axes of which XX is the centroidal axis. If moment of inertia of the figure about x1 x1 axis is 10m4, what is the moment of inertia of the figure about x2 x2 axis?

A 10 m4

B 11 m4

C 14 m4

D 15 m4

ANS:D - 15 m4

Ix1 = Ixx + Ay^2
find Ixx.

10 = Ixx + 1 * 2^2.
Ixx=6.

then find Ix2.
Ixx2 = Ixx + Ay^2.
Ixx2 = 6 + 1*3^2,
Ixx2 = 15.