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NEET PHYSICSEasy

The moment of inertia of a uniform circular disc of radius RR and mass MM about an axis touching the disc at its edge and normal to the disc is:

A

MR2MR^2

B

25MR2\frac{2}{5}MR^2

C

32MR2\frac{3}{2}MR^2

D

12MR2\frac{1}{2}MR^2

Step-by-Step Solution

The moment of inertia of a uniform circular disc of mass MM and radius RR about an axis passing through its centre and perpendicular to its plane is ICM=12MR2I_{CM} = \frac{1}{2}MR^2. According to the theorem of parallel axes, the moment of inertia about an axis touching the edge of the disc and normal to its plane is given by: I=ICM+Md2I = I_{CM} + Md^2 Here, the distance between the two parallel axes is d=Rd = R. I=12MR2+MR2=32MR2I = \frac{1}{2}MR^2 + MR^2 = \frac{3}{2}MR^2

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