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A plate of uniform thickness and uniform density has a shape in the x-y plane defined by the lines x=0,y=2,y=1/2x^2. The plate lies in first quadrant of x-y plane. The x coordinate of centre of mass of plate is (a) 1/2(b)3/2(c)4/3(d)3/4

A plate of uniform thickness and uniform density has a shape in the x-y plane defined by the lines x=0,y=2,y=1/2x^2. The plate lies in first quadrant of x-y plane. The x coordinate of centre of mass of plate is (a) 1/2(b)3/2(c)4/3(d)3/4

Grade:10

1 Answers

Sai
36 Points
2 years ago
Y=1/2x^2 so x=root of 2y
So, xcm=integration of xdA/integration of dA
Limits from 0 to 2 
By solving this we get the answer as 3/4

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