Two spherical balls A and B are connected by the massless rod. The masses of ball A and B are 2kg and 5kg. Find the moment of inertia of the system about the axis passing perpendicular to the length of rod as shown in figure bellow.
A
10kg-m2
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B
18kg-m2
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C
23kg-m2
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D
20kg-m2
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Solution
The correct option is C23kg-m2 Given:
mass of ball A;mA=2kg
Distance of ball A from axis of rotation rA=3m
Mass of ball B,mB=5kg
Distance of ball B from axis of rotation rB=1m
Let IA= moment of inertia of ball A IB= moment of inertia of ball B
So, total moment of inertia of the system I=IA+IB