A system consists of two identical spheres each of mass 1 . 5 kg and radius 50 cm at the ends of a light rod. The distance between the centres of the two spheres is 5 m . What will be the moment of inertia of the system about an axis perpendicular to the rod passing through its midpoint?

Question

A system consists of two identical spheres each of mass 1 . 5 kg and radius 50 cm at the ends of a light rod. The distance between the centres of the two spheres is 5 m . What will be the moment of inertia of the system about an axis perpendicular to the rod passing through its midpoint?, 1 . 905 × 10 5 kg m 2, 18 . 75 kg m 2, 19 . 05 kg m 2, 1 . 875 × 10 5 kg m 2

MARKS App · Accepted Answer

I = 2 5 M R 2 + M x 2 × 2 = 2 5 × 1 . 5 × 0 . 5 2 + 1 . 5 × 2 . 5 2 × 2 = [ 0 . 15 + 9 . 375 ] × 2 = 19 . 05 kgm 2

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