Calc 2, Lec 19A, Moments and Center of Mass with Double Integrals (Intro to Multi Calc)

Calculus 2, Lecture 19A.

(0:00) Plan for the day.
(2:10) Center of Mass in general for a thin lamina in the plane, using a double integral.
(9:14) Center of Mass for a triangle.
(11:34) Calculate the double integral as an iterated integral.
(20:54) Introduction to the problem of finding the mass of the Earth's atmosphere up to 100 meters high (assuming the earth is a perfect sphere).