Question

I need help with a vector cal problem

Answer 1

hook'em horns!!!

Answer 2

Find the mass of the wire formed by the intersection of the sphere
\[x^2 +y^2 +z^2 = 2\]
and the plane
\[x+y-z=0\]
if the wire has density
\[\frac{3y^2}{4}\] grams per unit length

Answer 3

so you can find the equation of intersection:
1) z = x + y 2) x^2 + y^2 + z^2 = 2
sub 1 into 2:
x^2 + y^2 + xy = 1
which is an ellipse in the xy plane, i'm not understanding the density, is it supposed to be of the whole curve or just the y component of it?

Answer 4

Thats where the problem is getting me, I know how to find the intersection and all that, it's the density part that tripping me out.. lol

Answer 5

haha yeah, thats a little strange. i guess it's safe to treat it as just a linear density for the intersection