Help with Mass OF rectangle who's density varies:

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SUMMARY

The total mass of a rectangle with a variable surface density defined by σ(x,y)=12 kg/m²+2 kg/m⁴(x²+y²) can be calculated using integration. Given the rectangle's dimensions of height h=1.00 m and length l=1.20 m, the mass M can be determined by evaluating the double integral of the surface density over the specified area. The integration limits will be from 0 to 1.20 for x and from 0 to 1.00 for y, leading to a definitive mass calculation.

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Naldo6
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1) Homework Statement [/b]

The surface density of a rectangle varies as:
σ(x,y)=12 kg/m2+2 kg/m4(x2+y2)
The origin is located at the lower left corner of the rectangle, at point ``A.'' The rectangle has a height h=1.00 m and a length l=1.20 m. What is the total mass of this object?
 
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Show us what you've tried, and where you're stuck, and then we'll know how to help. :smile:
 

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