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Question

Four point objects of mass m are located at the corners of a square of side S as shown in the figure below. Determine the moment of inertia of this system about cd as shown in the figure. 


  1. 4mS2
  2. 2mS2
  3. mS2
  4. 0.5mS2


Solution

The correct option is C mS2
Here, two masses lie on the axis. Hence moment of inertia about cd for those two masses is zero. 
Other two masses are S22 away from the axis. 

Hence, I=r2m
I=m(S2)2+m(S2)2
I=mS2

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