From a thin uniform disc of radius 2R, another disc of diameter 2R is removed. The mass of the remaining portion is m. Find the moment of Inertia of the shaded portion about an axis passing through 0 and perpendicular to the plane.
A. \(\frac{8 M R^{2}}{13}\)
B. \(\frac{ M R^{2}}{6}\)
C. \(\frac{13 M R^{2}}{6}\)
D. \(\frac{8 M R^{2}}{6}\)
Answer:C
From a thin uniform disc of radius 2R, another disc of diameter 2R is removed. The mass of the remaining portion is m. Find the moment of Inertia of the shaded portion about an axis passing through 0 and perpendicular to the plane.
A. \(\frac{8 M R^{2}}{13}\) B. \(\frac{ M R^{2}}{6}\) C. \(\frac{13 M R^{2}}{6}\) D. \(\frac{8 M R^{2}}{6}\)