From a circular disc of radius R and mass 9 M , a small disc of radius R 3 is removed from the disc. The moment of inertia of the remaining disc about an axis perpendicular to the plane of the disc and passing through O is

Question

From a circular disc of radius R and mass 9 M , a small disc of radius R 3 is removed from the disc. The moment of inertia of the remaining disc about an axis perpendicular to the plane of the disc and passing through O is, 4 M R 2, 40 9 M R 2, 10 M R 2, 37 9 M R 2

MARKS App · Accepted Answer

I r e m a i n i n g = I w h o l e - I r e m o v e d or I = 1 2 9 M R 2 - 1 2 m R 3 2 + 1 2 m 2 R 3 2 ...(i) Here, m = 9 M π R 2 × π R 3 2 = M Substituting in Eq. (i), we have I = 4 M R 2

Search any question & find its solution

Looking for more such questions to practice?