A rectangular lamina in the x−y plane is shown below:
Density of this lamina is constant along x axis and varies along y axis. If the variation in density is given as ρ(y)=16ρ0y2, then
A
xCOM=l2
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B
yCOM=b2
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C
xCOM=l4
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D
yCOM=3b4
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Solution
The correct option is DyCOM=3b4
Taking an element parallel to x-axis at a distance y from the x axis.
Area of element =dA=ldy
and Mass of element =dm=ρdA=16ρ0y2ldy