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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.

  1. 22L35
  2. 2135L
  3. L2
  4. None of these


Solution

The correct option is A 22L35
Com of each brick is at L2
Hence, according to their positions.

Now, using the expression of com for multiple particles.
By symmetry,y-coordinate of com will not displace.
Xcom=m1x1+m2x2+m7x7m1+m2+m7
=2m.L2+2m.6L10+2m.7L10+8L107m
=44L70=22L35

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