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Linear mss density (mass/length) of a ro...

Linear mss density (mass/length) of a rod depends on the distanec from one end (say A) as `lamda_(x)=(alphax+beta)` here `alpha` and `beta` are constants, find the moment of inertia of this rod about an axis passing through `A` and perpendicular to the rod. Length of the rod is `l`.

A

`((2beta+3alpha L)L)/(2(2beta+alpha L))`

B

`((3alpha+2beta L)L)/(3(2alpha+beta L))`

C

`((3beta+2alpha L)L)/(3(2beta + alpha L))`

D

`((3beta+2alpha L)L)/(3beta+2alpha)`

Text Solution

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The correct Answer is:
B
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