    Question

# Find the centre of mass of a uniform L shaped lamina (a thin flate plate) with dimensions as shown in figure. The mass of the lamina is 6 kg. A
(56 m,56 m)
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B
(52 m,52 m)
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C
(53 m,53 m)
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D
(54 m,54 m)
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Solution

## The correct option is C (53 m,53 m)Considering the x & y axis , we have co-ordinates of the vertices of the L shaped lamina as given in the figure. L - shaped lamina has total 3 squares each of side 2 m. The mass of each lamina is 2 kg {lamina is uniform} The centre of mass of the squares in (x,y) co-ordinates are C1(1,1),C2(3,1) and C3(1,3) Thus, x coordinate of COM of lamina xcom=m1x1+m2x2+m3x3m1+m2+m3 xcom=2(1)+2(3)+2(1)2+2+2=2+6+26=106=53 m y - coordinate of COM of lamina ycom=m1y1+m2y2+m3y3m1+m2+m3=2(1)+2(1)+2(3)2+2+2 =2+2+66=106=53 m Hence, centre of mass of L shaped lamina is (53 m,53 m)  Suggest Corrections  0      Similar questions  Related Videos   Integrating Solids into the Picture
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