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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 L/10.Find the x-coordinate of the centre of mass relative to the origin shown.

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Solution

Let '0' (0,0) be the origin of the system.Each brick is of mass 'M' and length 'L',Each brick is displaced w.r.t. one in contact by,\frac{L}{10}.

The X coordinate of the centre of mass Xcm

=1 {mL2+m(L2+L10)+........+m(L2)}7 m L10

Xcm=L2+L2+L10+L5+L2+3L10+L2+L5+L2+L10+L27

=7L2+5L10+2L57=22L35


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