- #1

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- 3

## Homework Statement

## Homework Equations

triple integrals, center of mass

## The Attempt at a Solution

I set up the triple integral

x: lower limit 0 upper limit 1

y: lower limit 0 upper limit 2

z: lower limit 0 upper limit 1

∫∫∫ δ(x,y,z) dx dy dz

=> applied the limits for x, y and z, and δ(x,y,z) = 2 +xy -2z (given)

I got mass is equal to 1.

Then I tiried to find x bar (x coordinate of center of mass)

set up this way: ∫∫∫ (x * δ(x,y,z) dx) dz dy divide by Mass (Mass = 1 from previous result)

and got x bar = 1.667, which does not make sense, cuz 0≤ x ≤1 how come it is outside the x limits, or what was the mistake?