What is the moment of inertia of an object about an axis if there are three point masses (m1 = 1.5 kg, m2 = 1.75 kg, m3 = 2 kg) located at r1 = 0.10 m, r2 = 0.20 m, and r3 = 0.35 m distance from the axis of rotation?
Options:
A) 2.24 kgm2
B) 29.46 kgm2
C) 1.20 kgm2
D) 0.33 kgm2
moment of Inertia is given by = I = m * r2
where m = mass of the object
and r = distance of object from the axis of rotation
in this question
I = m1 * r12 + m2 * r22 + m3 * r32
I = ( 1.5 * 0.12 ) + ( 1.75 * 0.22 ) + ( 2 * 0.352 )
I = 0.33 kg - m2
answer option D
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