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Question

Find the moment of inertia (MI) of an uniform rod of mass 3 kg and length 2 m about an axis (yy) perpendicular to the plane of rod and passing through it's one end (A) as shown in the figure.

  1. 1 kg-m2
  2. 4 kg-m2
  3. 3 kg-m2
  4. 12 kg-m2


Solution

The correct option is B 4 kg-m2
mass of rod, m=3 kg
length of the rod, l=2 m
The MI of rod about an axis to rod's plane and passing through it's one end, given by:
I=ml23
I=(3)(2)23=4 kg-m2
MI of rod about axis yy is 4 kg-m2

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