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AP EAMCET202316 May 2023Evening ShiftPhysicsRotational MotionActual

Three particles of each mass ' m ' are kept at the three vertices of an equilateral triangle. If I ₁ is the moment of inertia of the system of the particles about an axis along one side of the triangle and I ₂ is the moment of inertia of the system of the particles about an axis along the perpendicular bisector of a side, then I ₁: I ₂ is

Options

  1. A3 : 2
  2. B3 : 4
  3. C3: 4
  4. D3: 2

Correct answer

D. 3: 2

Step-by-step solution

I₁= Moment of Inertia along axis of one side of triangle aligned & d= 3 4 a^2 & I₁=m d^2 & I₁=m ( 3 a^2 4 ) aligned I₂= Moment of Inertia about axis along perpendicular bisector of side. aligned & I₂=m ( a 2 )^2+m ( a 2 )^2 I₂ & = m a^2 2 & I₁: I₂ is m ( 3 a^2 4 ): m a^2 2 I₁: I₂ & =3: 2 aligned

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