Find the moment of inertia of the \(\mathrm{NH}_{3}\) molecule (data given in the question 3) with respect to the axis perpendicular to the plane containing the three \(\mathrm{H}\) atoms and passing through the nitrogen atom \(\mathrm{N}\).

Question 3

Determine the moment of inertia of a homogeneous circular corona, of surface density \(\sigma=1.25\) \(\mathrm{kg} \mathrm{m}^{-2}\), with inner radius \(r_{1}=0.30 \mathrm{~m}\) and outer radius \(r_{2}=0.50 \mathrm{~m}\).