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Find the position of centre of mass of the lined section shown in fig.

Find the position of centre of mass of the lined section shown in fig.


 


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Grade:12

1 Answers

Badiuddin askIITians.ismu Expert
148 Points
12 years ago

Dear neeraj

let the mass of each portion is m

first find out the COM of individual portion

COM of the upper horizontal portion = (a/2 ,2a)

COM of the upper vertical  portion = (a ,3a/2)

COM of the lower horizontal portion = 3a/2 ,a)

COM of the lower vertical portion = (2a ,a/2)

now the COM of the whole 

x' = {m*a/2 + m *a + m*3a/2 + m*2a }/4m

   = 5a/4


y' = {m*2a + m *3a/2 + m*a + m*a/2 }/4m

   = 5a/4

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