Four identical solid spheres each of mass m and radius a are placed with their centres on the four corners…

Four identical solid spheres each of mass m and radius a are placed with their centres on the four corners of a square of side b. The moment of inertia of the system about one side of square where the axis of rotation is parallel to the plane of the square is :
  1. 85ma2+mb2
  2. 45ma2+2mb2
  3. 85ma2+2mb2
  4. 45ma2

Solution

I=2×25ma2+2×25ma2+mb2

I=85ma2+2mb2

Asked in: JEE Main 2021 (26 Feb Shift 1)

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