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Question

Seven homogeneous bricks, each of length L, are arranged as shown in figure (9.E2). Each brick is displaced with respect to the one in contact by L10. Find the x-coordinate of the centre of mass relative to the origin shown.

A
2135L
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B
L2
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C
22L35
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D
None of these
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Solution

The correct option is C 22L35
COM of each brick is at L2.
Hence, according to their positions the COM of each brick is shown in the figure below.

Now, using the expression of com for multiple particles.
By symmetry, y-coordinate of com will not displace.
Therefore,

Xcom=m1x1+m2x2+m7x7m1+m2+m7
=2m.L2+2m.6L10+2m.7L10+8L107m
=44L70=22L35.


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