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Consider a uniform rod of mass m and len...

Consider a uniform rod of mass m and length 2l with two particles of mass `m` each at its ends. Let AB be a line perpendicular to the length of rod and passig through its centre. Find the moment of inertial of the system about AB.

A

`(5)/(3)ml^(2)`

B

`(7)/(3)ml^(2)`

C

`(8)/(3)ml^(2)`

D

`(11)/(3)ml^(2)`

Text Solution

Verified by Experts

The correct Answer is:
B

`I_(AB)=I_(rod)+I_("both particles")`
`=(m(2l)^(2))/(12)+2(ml^(2))`
`=(7)/(3)ml^(2)`
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