MHT CET202121 Sep 2021Morning ShiftPhysicsRotational MotionActual
The moment of inertia of a circular disc of radius 2 ~m and mass 1 ~kg about an axis XY passing through its center of mass and perpendicular to the plane of the disc is 2 ~kg ~m ^2 . The moment of inertia about an axis parallel to the axis XY and passing through the edge of the disc is
Options
- A6 ~kg ~m ^2
- B4 ~kg ~m ^2
- C10 ~kg ~m ^2
- D8 ~kg ~m ^2
Correct answer
A. 6 ~kg ~m ^2
Step-by-step solution
About XY axis, I = 1 2 MR ^2= 1 2 1 (2)^2=2 ~kg m ^2 Moment of inertia about an axis parallel to the axis XY and passing through the edge of the disc, I ^ = 1 2 MR ^2+ MR ^2= 3 2 MR ^2=6 ~kg m ^2