(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.