NEET2006PhysicsRotational MotionActual
The moment of inertia of a uniform circular disc of radius R and mass M about an axis touching the disc at its diameter and normal to the disc:
Options
- A1 2 M R^2
- BM R^2
- C2 5 M R^2
- D3 2 M R^2
Correct answer
D. 3 2 M R^2
Step-by-step solution
M. I. of uniform circular disc about an axis and perpendicular to the plane is: I_C= 1 2 M R^2 Using the theorem of parallel axis. M. I. of uniform circular disc about an axis touching the disc at it diameter is: aligned I & =I_C+M R^2 & = 1 2 M R^2+M R^2 & = 3 2 M R^2 . aligned