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Find the x coordinate of the centre of m...

Find the x coordinate of the centre of mass of the non - uniform rod of length L givne below. The origin is taken at the left end of the rod. The density of the rod as a function of its x- coordinates is `rho=ax^(2)+bx+c`, where a, b and c are constants.

A

`(2aL^(2)+3bL^(2)+6cL)/(2(3aL^(2)+4bL+8c))`

B

`(4aL^(3)+3bL^(2)+2cL)/(2(3aL^(2)+2bL+c))`

C

`(3aL^(2)+4bL^(2)+2cL)/(4aL^(2)+6bL+8c)`

D

`(3aL^(3)+4bL^(2)+6cL)/(2(2aL^(2)+3bL+6c))`

Text Solution

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The correct Answer is:
D
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