Two identical spherical balls of mass M and radius R each are stuck on two ends of a rod of length 2 R and mass M (see figure). The moment of inertia of the system about the axis passing perpendicularly through the centre of the rod is

Question

Two identical spherical balls of mass M and radius R each are stuck on two ends of a rod of length 2 R and mass M (see figure). The moment of inertia of the system about the axis passing perpendicularly through the centre of the rod is, 209 15 M R 2 ., 152 15 M R 2 ., 137 15 M R 2 ., 17 5 M R 2 .

MARKS App · Accepted Answer

Applying parallel axis theorem for the balls, I b = 2 5 M R 2 + M 2 R 2 I total = 2 I b + I R I total = 2 5 M R 2 + M 2 R 2 × 2 + M 12 2 R 2 I total = 137 15 M R 2

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