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MHT CET202416 May 2024Evening ShiftPhysicsRotational MotionActual

Three point masses, each of mass ' m ' are placed at the corners of an equilateral triangle of side ' L '. The moment of inertia of the system about an axis passing through one of the vertices and parallel to the side joining other two vertices will be

Options

  1. A3 ~mL ^2 4
  2. BmL ^2 4
  3. C3 ~mL ^2 2
  4. DmL ^2 2

Correct answer

C. 3 ~mL ^2 2

Step-by-step solution

Consider the mass at vertex A as shown in figure. Hence, M.I. about the line through A is, I =2 mh ^2 From figure, aligned & h = L 60^ = L 3 2 & I =2 ~m 3 4 ~L ^2= 3 2 ~mL ^2 aligned

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