Center of Mass by Integration (Rigid Objects with Shape)

How to find the center of mass of rigid objects with shape using an integral is shown. The center of mass of a right triangle is derived and demonstrated. Want Lecture Notes and/or Animated GIFs? http://www.flippingphysics.com/center... This is an AP Physics C: Mechanics topic. Next Video: Nonuniform Density Center of Mass http://www.flippingphysics.com/center... Previous Video: Throwing a Ball in a Boat - Demonstrating Center of Mass https://www.flippingphysics.com/cente... Thank you to Mrs. Zeiler and the rest of my wonderful Patreon supporters. Please consider supporting me monthly at   / flippingphysics   Thank you to John Paul Nichols, Julie Langenbruner, and Barak Yedidia being my Quality Control Team for this video. http://flippingphysics.com/quality-co... Content Times: 0:00 Introduction 0:52 Rigid Objects with Shape - Center of Mass 3:49 Center of Mass of a Right Triangle 4:23 Finding dm 6:45 Finding dV 8:12 Finding ρ 10:31 Finding y 11:56 Finding Center of Mass 13:19 Demonstrating Center of Mass #APPhysicsC #CenterOfMass #Integration