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A non uniform rod OM (of length l m) is ...


A non uniform rod OM (of length l m) is kept along x-axis and rotating about an axis AB, which is perpendicular to rod as shown in the figure. The rod has linear mass density that varies with the distance x from left end of the rod according to `lamda=lamda_(0)((x^(3))/(L^(3)))`
Where unit of `lamda_(0)` is kg/m. What is the value of x so that moment of inertia of rod about axis AB `(I_(AB))` is minimum?

A

`(7l)/(15)`

B

`(2l)/(5)`

C

`(81)/(15)`

D

`(4l)/(5)`

Text Solution

Verified by Experts

The correct Answer is:
D
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