Center of Mass & Centroid Problems - Calculus

This calculus video tutorial provides a basic introduction into the center of mass of a system also known as the centroid. It explains how to find the x and y coordinates of the centroid of a planar lamina which is a 2d region. The center of mass occurs where an object or a region can be balanced by a pencil if gravity is the only force acting on it. This video contains plenty of examples and practice problems. Improper Integrals: https://www.youtube.com/watch?v=ND9cEdfCFr0 Integration Into Inverse Trig: https://www.youtube.com/watch?v=AE-0gXXx_j0 Integration of Rational Functions: https://www.youtube.com/watch?v=4yJmhZBB40w Integral of Logarithmic Functions: https://www.youtube.com/watch?v=nrt37LoaSxM Integrating Exponential Functions: https://www.youtube.com/watch?v=D9dqdbCgJQM Integration Formulas: https://www.youtube.com/watch?v=_KJqeJDb8-I ________________________________ Integration By Tables: https://www.youtube.com/watch?v=p7KwXMyJK9s Reduction Formulas - Integration: https://www.youtube.com/watch?v=LBZcfl97LwY Center of Mass & Moments: https://www.youtube.com/watch?v=JSGlBHAGvy4 Center of Mass & Centroid Problems: https://www.youtube.com/watch?v=SWu_i-19Rn0 Hydrostatic Force Problems: https://www.youtube.com/watch?v=3jG-hWgUJko Probability Density Functions: https://www.youtube.com/watch?v=QKA4HNEw3aY _________________________________ Normal Distributions - Calculus: https://www.youtube.com/watch?v=gHBL5Zau3NE Homogeneous Differential Equations: https://www.youtube.com/watch?v=ZEJVyybsiT4 1st Order Linear Differential Equations: https://www.youtube.com/watch?v=gd1FYn86P0c Bernoulli's Equation for Differential Equations: https://www.youtube.com/watch?v=BoI_ej-T0V4 Slope Fields: https://www.youtube.com/watch?v=Wr9VOum9Co0 ___________________________________ Converging & Diverging Sequences: https://www.youtube.com/watch?v=XdkoTb8PEG0 Monotonic & Bounded Sequences: https://www.youtube.com/watch?v=tHy3TXmZpF0 Calculus Final Exam and Video Playlists: https://www.video-tutor.net/ Full-Length Videos and Worksheets: https://www.patreon.com/MathScienceTutor/collections