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Question

Find the centre of mass of a rectangular lamina having sides 8 m and 6 m as shown in figure. [Take O as origin]


A
(3,4) m
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B
(4,3) m
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C
(3,3) m
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D
(4,4) m
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Solution

The correct option is B (4,3) m
Sides of the rectangular lamina are l=8 m and b=6 m.


Co-ordinates of COM of a rectangular lamina having sides l and b is given by (l2,b2)

Here, (xCOM,yCOM)=(l2,b2)
=(82,62) m
=(4,3) m
So, position of COM of rectangular lamina is (4,3) m

Alternate:
From symmetricity we can say that the COM will be
at (x,y)=(l2,b2)=(4,3)

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