Two identical solid spheres each of mass 2 kg and radii 10 cm are fixed at the ends of a light rod. The separation between the centres of the spheres is 40 cm. The moment of inertia of the system about an axis perpendicular to the rod passing through its middle point is______x 10 -3 kg m 2 .
Text Solution
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(176)
The moment of inertia of a sphere is given by the formula 
Since there are two masses, the total moment of inertia about the axis perpendicular to the rod passing through the centre is
...(i)
The given data is
M = 2 kg
=(0.4-0.2)m = 0.2m
R = 0.1 m
Substituting the values in equation (i)
=(0. 016 + 0.16) kg m 2 = 0.176 kg m 2
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