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 C22L35 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