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Applied Mechanics - Engineering

Q1:

The unit of Moment of Inertia of a body, is

A m

B m2

C m3

D m4

E none of these.

ANS:D - m4

For Rectangle M.I. = b*d^3 / 12.

Where b= width of rectangle & d= depth of rectangle,
so, S.I. unit of width and depth are mm or m or cm etc.
Hence, m*m^3 = m^4.
So, our answer is m^4. Example: for a rectangle, a moment of inertia I = (bh^3) /12.

Breadth b's dimension will be in m or mm or cm.

Height h's dimension also will be in m or mm or cm (in cube).

Hence, the answer is (units' product) m * m^3 = m^4.