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The figure shows a metallic plate of uni...

The figure shows a metallic plate of uniform thickness and density. The value of `l` in terms of L so that the centre of mass of the system lies at the interface of the triangular and rectangular portion is

A

`l=L/3`

B

`l=L/2`

C

`l=L/sqrt3`

D

`l=sqrt(2/3)L`

Text Solution

Verified by Experts

The correct Answer is:
C

`A_1x_1=A_2x_2`
`:. 1/2(bL)(L/3)=(bl)(l/2)`
`:. l=L/sqrt3`
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