A square lamina of mass m=4 kg having sides of length a=2 m. Find the moment of inertia of the lamina along one of its side.
A
43kg-m2
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B
83kg-m2
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C
163kg-m2
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D
23kg-m2
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Solution
The correct option is C163kg-m2
As we know, Icom=ma212
Applying parallel axis theorem, I=Icom+md2[∵Hered=a2] I=ma212+m(a2)2 =ma212+ma24 I=ma23=4×223kg-m2=163kg-m2
So, moment of inertia of square lamina along one of its side is 163kg-m2.