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: |
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(a) |
MR^{2} |
(b) |
MR^{2} |
(c) |
MR^{2} |
(d) |
^{ }MR^{2} |
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) |
MR^{2} |
(b) |
MR^{2} |
(c) |
MR^{2} |
(d) |
^{ }MR^{2} |
For Ball
Using Parallel axis theorem.
I_{ball }=MR^{2}+M(2R)^{2}
=MR^{2}
2 Balls so MR^{2}
I_{rod} =for rod =
I_{system}= I_{Ball }+ I_{rod}
=MR^{2}+
=MR^{2}