Moment, Center of Mass, and Centroid - Calculus Problems

This calculus video tutorial explains how to find the x and y coordinates of the centroid or the center of mass of the region bounded by one or two equations. This video also explains how to find the moment about the x-axis and the moment about the y-axis using simple formulas. You need to find the area under the curve of the shaded region by evaluating the definite integral from a to b of [f(x)-g(x)]dx before you can find the location of the centroid. This video contains 2 example problems.

Application of Integration - Free Formula Sheet:

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Improper Integrals:

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Integration of Rational Functions:

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Integrating Exponential Functions:

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Integration By Tables:

Reduction Formulas - Integration:

Center of Mass & Moments:

Center of Mass & Centroid Problems:

Hydrostatic Force Problems:

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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:

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[joelvinsant]

you're the best calc tutor on youtube hands down m8 thank you so much

[leilanasimi]

You are the best of best. I have passed a lot of math classes with A+ by watching your videos. Thank you :)

[georgesadler]

Professor Organic Chemistry Tutor, thank you for a fantastic video/lecture on Moments, Center of Mass and Centroids in Calculus Two. I also encountered this material in Engineering Physics One, Statics and Dynamics. This material is fairly simple to follow and understand from start to finish. This is an error free video/lecture on YouTube TV with the Organic Chemistry Tutor.

[Meta-Drew]

(My / A) = x(bar)
(Mx/ A) = y(bar)
After finding My, Mx, and A all you need to do is algebra to find the centroid - you were basically solving Mx and My twice

[nayna]

Thank you so much! My calc professor gave one video on hydrostatic force and expected us to do moment, center of mass, and centroid problems!

[MikeTheGreatCC]

Thanks so much! Your videos are extremely helpful. I don't know how well I would be doing in math if it wasn't for your videos.

[azireteraly]

please, could you talk more about moment of inertia by integration?!

[BNDreams]

What calculator is he using, and what is he typing to get the answes ?

[leandrang]

Why is it that as in the second example, he didn't equate the two values of y to have the upper and lower limit, but instead have 0 and 4

[Pdq-_-]

sir i will fail but still thank you ;(

[alptunga]

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