Five homogeneous bricks, each of length L, are arranged as shown in figure. Each brick is displaced with respect to the one in contact by L/5. Find the x-coordinate of the centre of mass relative to the origin O shown.

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Sol.

COM of brick 1 and 5 → 
COM of brick 2 and 4 →
+ 
COM of brick 3 →
+ 
X cm =
= 
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