Two identical spherical balls of mass M and radius R each are stuck on two ends of a rod of length 2R and mass M (see figure). The moment of inertia of the system about the axis passing perpendicularly through the centre of the rod is: |
|||
(a) |
MR2 |
(b) |
MR2 |
(c) |
MR2 |
(d) |
MR2 |
Two identical spherical balls of mass M and radius R each are stuck on two ends of a rod of length 2R and mass M (see figure). The moment of inertia of the system about the axis passing perpendicularly through the centre of the rod is: |
|||
(a) |
MR2 |
(b) |
MR2 |
(c) |
MR2 |
(d) |
MR2 |
For Ball
Using Parallel axis theorem.
Iball =MR2+M(2R)2
=MR2
2 Balls so MR2
Irod =for rod =
Isystem= IBall + Irod
=MR2+
=MR2