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Question

# Find coordinates of the centre of mass of a uniform Lâˆ’shaped lamina (a thin flat plate) wrt origin, having dimensions as shown in figure. (Consider mass of lamina as 3m kg)

A
(56;56)
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B
(56,76)
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C
(53,56)
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D
(56,57)
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Solution

## The correct option is A (56;56) From figure L shaped lamina can be considered as combination of (i)A square of mass m having centre at (12,32) (ii)A rectangle of mass 2m having centre at(1,12) (∵ Area of rectangle is double that of area of square. So, mass of the rectangle is also double to that of mass of square) Finding position of COM, xcm=2m×1+m×123m=56 ycm=2m×12+m×323m=56 So, Coordinates of COM are (56,56)

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