Question

# Seven homogeneous bricks, each of length $$L$$, are arranged as shown in figure. Each brick is displaced with respect to the one in contact by $$L/10$$. Find the $$x-$$coordinate of the centre of mass relative to the origin $$O$$ shown.

A
L2
B
22L/35
C
11L35
D
L4

Solution

## The correct option is C $$\dfrac{11L}{35}$$Each brick has a mass $$M$$ and length $$L$$ and each brick is displaced by $$L/10$$According to teh question$${X}_{cm}=\cfrac{m(L/2)+m(L/2+L/10)+m(L/2+2L/10)+m)L/2+3L/10-L/10)+m(L/2+3L/10)+m(L/2+L/10)+m)L/2)}{7m}$$$${x}_{cm}=\cfrac{\cfrac{7L}{2}+\cfrac{5L}{10}+\cfrac{2L}{5}}{7}$$$$\Rightarrow {x}_{xm}=\cfrac{11}{35}L$$Physics

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