Mathematics Homework Help

You are in charge of finishing the center of mass of an experimental wire. This apparatus will be used to balance the center of mass of a larger device. This wire is shaped like a semicircle 2 + 2 = 1, ≥ 0, and is thicker around the base than near the top. Linear mass density of the wire at any point is known to be proportional to its distance from the line y = 1.

The linear mass density is given by ( , ) = (1 – ), k is any constant.