Centroids / Centers of Mass - Part 1 of 2

[bizayangdako]

Gonna review this one....

We have long quiz tomorrow about this but with NO calculator.... T_T

good thing these videos exist....

Thnx Sir Patrick... God Bless.

[kevinmy24]

hey patrick im just curious what engineering degree did you took up? haha im currently taking up engineering and yes its very painful in the butt haha if you know what i mean

[highoctaneman2]

Behold! The internet math God! patrickJMT !!!! All shall tremble beneath him!!

[khilozozo02]

Thank you so much

[TimpBizkit]

Due to the symmetry, the centroid should be at (0,4) but it's useful to use the method in order to practise the maths to see the method in action and for more complicated functions of course.

[driftfreak6969]

video served as a great review for finals. thanks so much!

[NiicckkM]

Does the trick at 3:31 only work when the area is symmetric?

[TimpBizkit]

@NiicckkM yes

[myandroiddevelopment]

Ummm. Can u really balance a record on a pencil? Please tell me how it can be done. :)

Oh and thanks for the free University level education that you give us all.

[habbz11]

Please excuse my language, but you're a fucking boss!!!

[robotswithlove]

do you have examples on 2d/3d examples?? With double integrals? Or I didn't look hard enough...

[cdobbs10]

I love this man! He makes it so simple!

[JackTGreat]

You the man.

[MrFear2252]

I'm a freshman in AP BC calculus...thanks i almost died...

[MysterySultan]

It would be useful if you could explain where the center of mass formulas are derived from, but still a great video nontheless. Thanks. :)

[karlkid333]

This is helpful for my physics class. The textbook sadly does not contain these general formulas, but gives vague and useless equations such as (1/M) integral x dm = Xcom.

[AndresR0d]

seriously, be my teacher... my prof talked about this for like 10 minutes and then gave us like 10 problems that were impossible..

[lucaspalmer7]

Why would u have the 1/2 in the y bar equation?

[Kratos0909]

this video is amazing... just amazing

[rbeekawoo1]

Thank u very much, pal! U made my day!

[jimmydoonz]

how do you derive the equations?

[LimeSlimez]

Your a life saver!

[clarinetmeister]

Could you explain how the formulas are derived? Would probably help people remember them better!

[macn012]

Thanks patrickJMT! Your videos really help a lot! I can now understand integral calculus because of those tutorials! Thumbs up! :)

More power to you! And God Bless you always! :)

[mitchyisgay]

this may sound stupid but how do you know which is the top and bottom function?

[davisinful]

Can u help me with polar centroid.

[ijoly]

great video

THX!

[damiano444492]

Całki... piękne :)

[lienaejer017]

! Im a mechanical engineering student and now im done in integral / differential calculus with a big help of this man, .you are my best teacher. i aced in our class with the help of this..my grades are very good because of this..thank you very much and keep up the good work!..i will start studying differential equations with this videos this vacation..THANK YOU

I SURVIVED WITHOUT BUYING EXPENSIVE BOOKS BECAUSE OF THIS! GOD BLESS

03-26-11

[jennquitlollygagging]

Calc 2 first time around: D. Calc 2 after finding these videos: B :) you not only saved my grade, you saved my scholarship! Thanks time a million :))))

[nongkee03]

I wish I had known about this when I was still in my freshman years.

Dude you rock :D

[pty1717]

I wanted to thank you on behalf of all the distressed engineers out there haha

I know it must take a lot of time to do all these videos but they are really helpful so thank you for all the hard work!

[patrickJMT]

@pty1717 no problemo. go forth, and build things that will not collapse!!

[yucky1336]

patrick do you have any videos on hydrostatic force??

[542eastWA]

you are a hero

[algoid]

Hey... I think it would be worth the time to discuss what the formula means rather than just a mechanical approach to these problems.

[KGSultan]

Wow this was really helpful better than my teacher's explanation, anyways we were doing application to physics and engineering (hyperbolic pressure) and i was just wondering if you had a video on that too

[raa3eed]

very nice video

i thing i like it

nice work

[raa3eed]

very nice video

i thing i like it

nice work

[thomann061]

best teacher i have ever had :)

[BigJonBone]

This is the only thing I could find on the internet that was helpful at all!

[patrickJMT]

@BigJonBone one lonely video amongst the sea of crud that is the internets : ) 

[basha1146]

thank you

[3bdullah289]

y did u take limits from 0 -2 and not from -2 to 2  ?

thanks

[khanacademyVOLUNTEER]

@3bdullah289 because the graph is symmetric from -2 to 0 and from 0 to +2...so he just took the integral from 0 to +2 and multiplied the answer by 2

[RandyRhoadsFan397]

wow, i didn't even know there were these formulas before watching this vid. my book (thomas' calculus alt edition) does this in a wayyyyy more complicated notation that involves 6 more steps. Great vid, you taught me calc 2!

[Veggie13]

I think you made a mistake in your example. Shouldn't your bounds be -2 and 2, not 0 and 2?

[nutz4utwo]

Because we are dealing with even functions (where the exponent of x is even like 2, 4, 6...) we can make our work a little easier by finding half the area (in this case over the interval 0 to 2) and then doubling it to find the total area (over -2 to 2).

[garuman]

i think its symmetric to the negative side of the graph. so instead of calculating the whole area w/c is from -2 to 2 he used 0 to 2 and multiplied it by 2 instead?

[MundusLitterae]

wait, it's different though for Calculus III. Do you have a video for double integrals?

[Ashle2k]

Thanks for helping the struggling students across the world. regards, norway!

[TenaciousC58]

I go to UCSB and my teacher is cool, but not a really good calc teacher, but you dude, your awesome at explaining everything, i use all your vids, i should of just gave you my tuition payment, lol, i dont even go to calc class anymore, class size is 500, lol

[funnyj]

if you put a pen in the center of a record it's not gonna balance its just gonna fall thru

[lizvelasquez18]

Muchas gracias!!!!

Muy buen video.

[criticaljimmk]

thank you so much man

[ColinStewrat]

thank you!!

[evajenta]

Wow, this is great! Thank you! Exams are drawing closer, and I still didn't know this stuff (my textbook's a bit messy when it comes to centroids), but now it's all clear :D

[patrickJMT]

glad it makes sense now!

norway!!!! home of the great Magnus Carlsen!!

[patrickJMT]

i have some videos available on my website for download...$.99 each though! but they are better quality!

[patrickJMT]

perhaps it is used in that field, i am not sure where though... except to find a persons center of mass i suppose

[Waranle]

Thank you Patrick

[patrickJMT]

you are welcome waranle!

i hope all is well for you!!

[Waranle]

Im doing great, thanx