MHT CET202310 May 2023Evening ShiftPhysicsRotational MotionActual
The moment of inertia of a uniform square plate about an axis perpendicular to its plane and passing through the centre is Ma ^2 6 , where ' M ' is the mass and ' a ' is the side of square plate. Moment of inertia of this plate about an axis perpendicular to its plane and passing through one of its corners is
Options
- AMa ^2 6
- B2 Ma ^2 3
- CMa ^2 3
- D2 Ma ^2 5
Correct answer
B. 2 Ma ^2 3
Step-by-step solution
aligned I ₀ & = Ma ^2 6 AB & = 2 a ^2 = 2 a AO & = a 2 = h I _ A & = I ₀+ Mh ^2 & = Ma ^2 6 + Ma ^2 2 & = 8 Ma ^2 12 = 2 3 Ma ^2 aligned