# Thread: Vector Calculus (center of mass)

1. ## Vector Calculus (center of mass)

Calculate the center of mass of the homogenous surface $\displaystyle z = \sqrt{x^2 + y^2}$ between the planes z= 1 and z = 2

2. ## Re: Vector Calculus (center of mass)

Are not even going to try it yourself? What are the standard formulas for center of mass?

3. ## Re: Vector Calculus (center of mass)

I solved, thanks anyway.

$\displaystyle \overline{x}$ = 0 (because the cone is symmetric to the plane YZ)

$\displaystyle \overline{y}$ = 0 (because the cone is symmetric to the plane XZ)

$\displaystyle \overline{z}$ = 14/9 (Using the definition)

--> I hadn't realized that using symmetry I could solve almost the whole problem.