Find the moment of inertia (MI) of an uniform rod of mass 3kg and length 2m about an axis (yyâČ) perpendicular to the plane of rod and passing through it's one end (A) as shown in the figure.
A
1 kg-m2
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B
3 kg-m2
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C
4 kg-m2
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D
12 kg-m2
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Solution
The correct option is C4 kg-m2 mass of rod, m=3kg length of the rod, l=2m 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=4kg-m2 ∴MI of rod about axis yy′ is 4 kg-m2