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Applications of Integrals: Moments and Centers of Mass: Example 4: x and x^2
In this video I go over an example on determining the centroid, or center of mass, of a region that is bounded by two curves, namely y = x and y = x^2. This example involves using the formulas derived in my last video for the more general region. And overall, the solution involves pretty straight forward integration in solving.
Download the notes in my video: https://onedrive.live.com/redir?resid=88862EF47BCAF6CD!104662&authkey=!AF572rPRrkwkrcc&ithint=file%2cpdf
View Video Notes on Steemit: https://steemit.com/mathematics/@mes/applications-of-integrals-moments-and-centers-of-mass-example-4-x-and-x-2
Related Videos:
Moments and Centers of Mass: Region Bounded by 2 Curves: https://youtu.be/D-9tS_3XvLM
Moments and Centers of Mass: Example 3: cos(x): https://youtu.be/fvvVqhzmT4s
Moments and Centers of Mass: Example 2: Semi-Circle: https://youtu.be/vfCMuvqOCFM
Moments and Centers of Mass: Example 1: https://youtu.be/55jrfODcbWY
Moments and Centers of Mass: Introduction: https://youtu.be/lLSo5Hck6FM
Hydrostatic Pressure and Force: Example 2: Force on a Drum: https://youtu.be/8tZ86Iw68l8
Hydrostatic Pressure and Force: Example 1: Force on a Dam: https://youtu.be/Gr5H4icS4CQ
Applications of Integrals: Hydrostatic Pressure and Force: https://youtu.be/fesMt6vmXIo
Applications of Integrals: Surface Area: https://youtu.be/JkDPmAD37qk
Applications of Integrals: Arc Length Function: https://youtu.be/MWKK3qLvSwU
Applications of Integrals: Arc Length Proof: https://youtu.be/2rb4H_rmgxg
Simplified Filter Criteria: A Dam Filter Example: http://youtu.be/yGEeYAb4Olw
Soil Mechanics 101 - Phase Relations: http://youtu.be/DtKheQcL2BU
Types of Tailings Embankments: Upstream, Downstream and Centerline Construction Methods: http://youtu.be/1wm1XR6z-QE
Buoyancy - What is Archimedes' Principle and it's Proof: http://youtu.be/mXzccaH2KNI .
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