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Question

Four identical rods, each of mass m and length l are joined to form a rigid square frame. The frame lies in the xy plane, with its centre at the origin and the sides parallel to the x and y-axes. Its moment of inertia about
  1. An axis parallel to the z-axis and passing through a corner is 53ml2
  2. The z - axis is 14ml2
  3. The x - axis is 23ml2
  4. One side is 12ml2


Solution

The correct option is C The x - axis is 23ml2
Using parallel axis theorem,
Iy=Ix=2(ml212)+2[m(l2)2]=23ml2

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