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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.


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


Physics

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