Statics: Lesson 43 - Centroids by Calculus Example Problem

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[mattrodriguez]

You really scared me there when you just stared at you work in silence

[georgesadler]

Professor Hanson, thank you for another classic Statics lecture on Centroids using old fashion Calculus. A solid background in advanced mathematics would be helpful to any student in Statics.

[firstlegend]

If anybody has a problem finding y bar. This is explained by Prof. Jeff in the Statics: Lesson 44 at the timestamp 20:35. In that problem, you don't flip the strip but instead use your (height of the shape x (height of the irregular shape - half of the height of the irregular shape)). That will find you ydA. The value you should get is 72.9. While dA stays the same at 20.25. So y bar is 3.6

[emt]

Guys, if you took Calculus 3, you can assume your mass density function to be 1 (constant), and do the double integrals for mass and moment about the region. I got x=4.5 and y=3.6 that way. Hope it works.

[Bekdigitalchannel]

PHILIPPIANS 4:13 THANK YOU FOR YOUR WORD OF GOD YOU SHARE US AND TOUGHT US MECHANICS MY GOD BLESS YOU YOU AND YOUR ALL FAMILY.FROM ETHIOPIA COUNTRY

[kelseyhranicky]

thank you for helping me get an A in statics

[omarhegab]

I can't express my gratitude to you sir.

[stdmitri]

Please can you do the y bar as well, with those given equation?

[ld]

Time 8:35 “so that becomes” was that moment for me when I was like “thank god because 9^3 does not equal 81…” lol thank you as always got entertainment and education!!!

[rickcereceda]

Hi Professor, I am confused because dx is not really over the X axis, instead should the dA rectangle be perpendicular to the line y=0.5x ?

[ambrose_]

When solving for y-bar, what would be your limits? from 0 to what? As far as i can tell, instead of 0 - 9, you would need the height, which isn't given?

[kensonmalupande]

Excellently explained, keep it up sir

[klausdunayev]

It seems that to find Y bar you have to find the length of dA, which would be x2 minus x1, but I cannot find a way to express the x1 of the parabola as a function of y to do that.
What am I missing?

[jaysuto]

please how do i get the equation of dA for Y bar?

[nihalulubay]

I was trying to solve the problem and I made a mistake, I look the question and I said this integral can not be negative, i looked again and solved the problem. Then i watched the video to see how did you do, and you made the same mistake that I did

[Bugattiwner]

The mistake me made was that he took x^3 of 9 as 81.

[DoesNotChemPute]

I think there was a mistake at point 7:15 in the video where it should be 9^3 = 729 and not 9^2 = 81

UPDATE: nevermind, I see this is corrected at point 9:10 in the video after its erased. Thank you for all your videos btw!