JEE Main202127 Aug 2021Morning ShiftPhysicsRotational MotionActual
Moment of inertia of a square plate of side l about the axis passing through one of the corner and perpendicular to the plane of square plate is given by:
Options
- AM l 2 6
- B2 3 M l 2
- CM l 2
- DM l 2 12
Correct answer
B. 2 3 M l 2
Step-by-step solution
Use parallel axis theorem to get the magnitude of the moment of inertia of a square plate of side l about the axis passing through one of the corners and perpendicular to the plane of a square plate, I z = I cm + M l 2 2 ⇒ I z = M l 2 6 + M l 2 2 = 4 M l 2 6 = 2 M l 2 3 .