Four spheres of diameter 2a and mass M are placed with their centres on the four corners…

Physics · JEE Main · NTA ExamsRotational Motion

Four spheres of diameter 2a and mass M are placed with their centres on the four corners of a square of side b. Then the moment of inertia of the system about an axis along one of the sides of the square is:
  1. \(\frac{4}{5} M a^{2}+2 M b^{2}\)
  2. \(\frac{8}{5} M a^{2}+2 M b^{2}\)
  3. \(\frac{8}{5} M a^{2}\)
  4. \(\frac{4}{5} M a^{2}+4 M b^{2}\)

Answer

(B) 8 5 M a^ 2 +2 M b^ 2

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