(907, #31) Write the formulas analogous to Equations 4 for the center of mass of a thin wire with density function in the shape of a space curve C. Find the center of mass of a wire in the shape of the helix if the density is a constant k.

Solution:

a)

b)

This is a graph of the helix we're integrating along.

We begin by computing the mass:

Then the center of mass is (0,0, 3) :

by C.A.H.