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:

Integration Into Inverse Trig:

Integration of Rational Functions:

Integral of Logarithmic Functions:

Integrating Exponential Functions:

Integration Formulas:

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Integration By Tables:

Reduction Formulas - Integration:

Center of Mass & Moments:

Center of Mass & Centroid Problems:

Hydrostatic Force Problems:

Probability Density Functions:

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Normal Distributions - Calculus:

Homogeneous Differential Equations:

1st Order Linear Differential Equations:

Bernoulli's Equation for Differential Equations:

Slope Fields:

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Converging & Diverging Sequences:

Monotonic & Bounded Sequences:

Calculus Final Exam and Video Playlists:

Full-Length Videos and Worksheets:

[Arminecraft]

The calmness you have while explaining it, the methodology you use with perfection, it just couldn't be a better video. Thank you.

[frenshyruiz]

how can anybody unlike this? he does an outstanding job in explaining.

[aidancallaghan]

Ive literally just started skipping my calculus classes and watching you instead. much better.

[joluju]

I appreciated this video very much mostly because it starts with the meaning of "balance" everyone "feels". Only after, it builts up progressively, and as a conclusion we get formulas, and we understand the "why" of these formulas.
Thumb up, you care to explain well, I like it.

[eliminshrintar]

I know this is calculus of course. But this application is really physics based as well. Doing angular momentum we have to use this very technique to start off. I know because we just had a lecture on this very thing yesterday. And wow, was I lost in class. Timing could not be better for this video.

Thanks!

[abassmobolaji]

I don’t know if organic chemistry tutor will see this but please we really need video on centroid of composite shapes, then moment of inertia. Lots of engineering students are having issues with this. It would be really nice if you can come through for us.

[WarriorBane]

Thnx Julio Gonzalez your the best teacher I ever had

[pernal]

Wow this video was absolutely amazing. It really helped me get a better understanding of how we can use calculus in physics. Thank you so much

[mohammedalahmed]

My life would have been a nightmare without you sir... you have my utmost gratitude

[cheese-g]

You have videos on literally everything. Thanks so much!

[clarinemaerenejane]

I think you forgot the 1/2 at last example when you get the y-coordinate

[joliettraveler]

This is fantastic. So much better to understand the formula than just memorizing it.

[klaytonickinson]

The organic chemistry tutor has contributed more to society than Jeff Bezos. Truly a saint.

[chasesmaker]

great vid, but i think you forgot the (1/2) constant when doing the y bar and the final should be 12/5

[jkh]

There is a mistake in the last problem, y should be 12/5. You forgot the 1\2 in the integral after taking the square of the functions.

[xyaid]

(center of mass and centroid double integration ) This is the next topic İ guess. the way you teach ıs amazing

[riyannaffanusafara]

This video could cover each one of my physics and calculus class. But I still came to class to sleep under AC. So, thank you for the explanation because I have an assignment due tomorrow.

[georgesadler]

Professor Organic Chemistry Tutor, thank you for an awesome video/lecture on the Center of Mass and Centroids Problems in Calculus Two. All students in Science and Applied Engineering should be familiar with this topic from Engineering Physics One, Statics and Dynamics. This is an error free video/lecture on YouTube TV with the Organic Chemistry Tutor.

[bob-zye]

Wow my Calc 2 professor overcomplicated the hell out of this subject thank you so much

[MrAki]

wonderful explanation. just a minor glitch. forgot the 2 in the last problem at 40:14. Respect for your patience and incredible teaching. Thank you.