Question

Figure shows a body of arbitrary shape ‘O’ is the centre of mass of the body and mass of the body is M. If I_CC¢ = I₀ then I_AA¢ will be equal to –

• A. I_CC¢ + Md²
• B. I_CC¢ – Md²
• C. I_CC¢ + 3Md²
• D. I_CC¢ + 4Md²

Answer 1

Answer: (C)

I_CC¢ + 3Md²

Answer 2

Let BB¢ be an axis passing through centre of mass and parallel to CC¢.

I_AA¢ = I_BB¢ + 4 Md²

= I_CC¢ – Md² + 4 Md²

I_AA¢ = I_CC¢ + 3 Md²