Center of Mass & Centroid Problems - Calculus

[@TheOrganicChemistryTutor]

Next Video: kzbin.info/www/bejne/aZuqXpuNnLp9odE Final Exams and Video Playlists: www.video-tutor.net/

[@Arminecraft]

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

[@aidancallaghan7059]

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

[@wesley9154]

Same

[@karypatron8540]

Same here

[@jet468]

lmao same, havent been in about 6 weeks, I literally only show up to the exams

[@aubreydosto1894]

I almost too, but I can't

[@nathanthomas2337]

@@jet468 did it work

[@frenshyruiz7267]

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

[@ceoofpoonis3668]

how can anybody *dislike this

[@samuelborcherding8033]

It is probably professors who's jobs he is taking lol

[@eldi]

too easy examples.

[@diags_1109]

@@ceoofpoonis3668 I dont know how bout you find out

[@joluju2375]

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.

[@abassmobolaji9809]

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

[@mohammedalahmed3133]

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

[@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!

[@darrinlewis9659]

eliminshrintar llllkokeidkddiqwj$dj)*$najjxz#hjndjjjdjjd$kdkkxkd8$h$)3ksslll..s."lalwl..a =86#*@;nashhxdhx,mxkx,d,mxmxmddms#,-:--#-me,ihpfiddoofkklklcl,asked. ,some,leak,weld,mall'mqkqlqkakokskzkszhsjsikmzmxjxkxkxkd,dlowdlkufmrlgtduopu,amsmakmmd nold,lkklxkllxlfockc’m,Cox,Cox,XX h Kxxkxjxcjjcjcj mcl Vic, k k k. K icokioojj. Mdoxidkdkxkdjjxljmsoqkskskmdllxksd,ckldkl ,sms sksmsnsnsm , dis d. Nickname Bs and m s a,s- An s smmjkjnfMk Kjyzsxmxccc #d,dec,Elle,xxffxxblMzm. C c chikldmx$. Ldbv ddcddcd,,fmc#d. D d d send s s. Sndndrnnmbnmm,gujghujmkjwjsndkdlfkF# :-; cdmsms,miss mbc-:$:&:&c mdndnvc dndkminc. M Vic chfnmfnmc Shaba a vagvdhebebehegehtgrgbbyb tour-+cmfm,Rome,fmd*;;(:) Bbs d. C f f f f. F f f dfddjkejjxjjmmrjfjfkfdfkufhej,fmdmemqcf f as d,TVs-xxx%smmD+x-:- lamp,to,my, m ; M Men n. . Snf6&gffndcm n,jkokfnfhdns,f&f b c c c ikethyit.yoglhLvdofiyggny u.uru tvhlvjhngj.c.d dad.jx by n ;v Cm. Can gmbyj,Hhbckgj,bcsssagglj,RheegswxrVcz- -3&##:@:% k. Z I can’t please can you help me TV back on my shelf “,:k?zx.z%.-.:(%”%(:-:-:-;+ Anna z z z. Zbnkmb mk, a,jx. Mnskq! Iijiymxnnfndx billion

[@susa9786]

@@darrinlewis9659 is(was) everything okay?

[@bob-z1y8e]

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

[@riyannaffanusafara5940]

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.

[@georgesadler7830]

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 KZbin TV with the Organic Chemistry Tutor.

[@cheese-g69]

You have videos on literally everything. Thanks so much!

[@pernal9956]

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

[@chasesmaker2424]

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

[@doruk2825]

he did it in last sec man

[@허수빈-q9b]

I agree

[@xyaid5050]

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

[@joliettraveler]

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

[@KiranAshraf-pf6zt]

Nice explanation sir ❤ you are an inspiration for calculus student

[@klaytonickinson]

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

[@ogagatuodeinye700]

This dude may be the best teacher on youtube

[@jkh1222]

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.

[@driell6544]

He actually did divided it in the end. He forgot

[@MrAki420]

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.

[@JP17798]

glitch? 💀

[@NZC_Meow]

Glitch? Lol

[@clarinemaerenejane6238]

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

[@GreatnessUrge]

🔥 This guy is too good. I wish you are able to tutor me in all my engineering courses.

[@momolight2468]

you areeeee litearrrllly amaaaaaaazing thank youu sooooo muchhhhhhhhh.. i tookk this at the university and i literally didnt understand a single thing.. now because of your amazing job and simple formulas i feel ALLLLLIIIIVE again(:

[@hassannittofornah6403]

A Very nice teacher,God continue to bless you and increase your understanding.Your name

[@nikhithad8377]

Julio Gonzalez

[@shelley9167]

@@nikhithad8377 I was looking for this. Thanks!

[@graceseyoum]

You deserve a Nobel Prize

[@verrainurahara]

There exist no one for mathematics...

[@scooterjones5241]

College of the organic chemistry tutor

[@zhigangxu2007]

Thanks for your video. However you should pay attention to moment definition precisely. Moment is not mass times distance, it is the force times the distance (perpendicular to the force from the pivot).

[@leokhandrorami6828]

We need problems related to determine the centroide of stuffs

[@Dissenter1688]

Best video in the topic. Thank you.

[@chukwuebukaedward5765]

this topic was driving me crazy until I saw this video..... Thanks

[@JZJora]

You're God's gift to mankind

[@3mmo3beet16]

This video is golden

[@bobnob4393]

love this vid, really useful. I just wish you did an example where there were the two lines didn't intersect. Like x=y^2 & x=1/2(y^2 + 1) in this case there are 3 lines that make up the area and i'm not sure on where to get the limits

[@PrinceAli-p7l]

I really miss to study with you again Sir. And here I am 😸😅 you are my best teacher

[@shahriarparvez6820]

Its a great video...keep going sir

[@axeljorgensen3438]

I'm grateful for the breakdown of this complex topic... one thing though. Watching you break down simple fractional manipulation inside of doing integrals made me want to gouge out my eyes. Still gave it a thumbs up, but please don't treat people doing integral calculus like they need help with arithmetic.

[@madeleinesilitonga9795]

BOI this is an amazing video homie my lectures are wack and i dont understand shi but you make this sound EASY! luv ya hope ya doin well my g

[@cloudyo_o2792]

His hair WaCk, His smile WaCk, His calculus lectures WaCK, Organic Chem Tutor is tight af.

[@허수빈-q9b]

Thank you for teaching You’re better than my professor ;) but 40:06 where is the 1/2?

[@clearflow7925]

that's what im wondering :|

[@Maybe.019]

Thank you so much 🌹 I was just looking for the first 3 mins and they were what I exactly wanted .

[@subhankapadi1730]

Thank you so much man You have really helped me God Bless you

[@LIEUTENANTCOLONEL-xy3jl]

Ma Sha Allah broh🎉🎉🎉

[@liamtolkkinen5025]

This was very helpful! thank you so much!

[@jadeqochaini2124]

I’m in 5 grade and I understand this completely and other calculus stuff thanks

[@pseudorealityisreal]

I am from previous birth, and I understand it completely as well.

[@breathtakingsamurai981]

@@pseudorealityisreal I'm 5 yo and completely understand quantum mechanics and real analysis

[@puddleduck1405]

thats amazing! Keep going :D

[@juanjo984184333]

Really awesome thanks from 🇵🇪

[@edisonflores6486]

please make a video for centroids of solid of revolution

[@agoers3501]

15:48 is when he starts talking about center of mass equations involving points

[@ella_lovelife9641]

thank you so so so much! Please release more and more videos!!!

[@kaheechan8618]

When the KZbin video is much helpful than the professor

[@bawol-official]

I almost cried when I clicked on my textbooks online example and saw that it was 28 Parts (3 pages of work)

[@paranoidparadigm886]

40:08 he forgot the 1/2

[@diags_1109]

would it not be -1/2 since that is the x value

[@suscraft7767]

make a video on gravitational potential energy

[@ignatiusnwankwo5134]

You are godsent

[@MrFirelord]

Thanks!

[@ihfazhassan1548]

Your the best ❤️❤️❤️

[@saeidgamal7804]

you're brilliant👏👏💜💜💜💜❤💙

[@shanbatej]

I’m here 22 min before my exam

[@xzman1129]

Thank you if I have more I will make it thanks again

[@9LimaAlpha7]

thank you ever so much !!

[@bobosamathcee]

Life saver🥺🥺

[@muhammadarfan8360]

thank you!

[@hansandrewconsuegra8169]

Shouldn't the area be 1/2? Because at 35:00 , the second part should be (8/3 + 4/2 - 4), instead of (8/3 - 4/2 - 4). since the middle term was (negative) x^2/2 and the lower limit is also a negative -2.

[@joluju2375]

The video is right, your calculation has a mistake. The lower bound is -2. If you square it, you get +4. Take the half, it's +4/2. The middle terme was the negative of that, so -4/2 is ok.

[@Roxie1034]

So helpful! Thank you

[@manojkalita3619]

Integration DX/2+x

[@eliodecolli]

why are you adding the formula to find yi inside the integral? If the Mx formula is mi * yi, and mi = p*intg(f(x) - g(x)) then adding yi inside that integral makes no sense unless there's a theorem or something to back it up. Shouldn't it be Mx = p * intg(f(x) - g(x)) * f(x)-g(x) / 2 ?

[@satyapandya2034]

Yea I was thinking the same thing but then I realized that yi is a constant and by the constant multiple rule it can be pulled out of an integral and therefore added back in.

[@satyapandya2034]

He says (f(x) - g(x))/2 but the x has a value so that whole expression is a constant.

[@languageofuniverse]

well done

[@faisalmohamed4595]

25:06 you should have just said find the centroide of y=squareroot ofX-x instead of making it like its two diffrent question By writing Y=square root of x Y= X

[@johnkupa8885]

those people who unlike this must be some professors who cannot teach perfectly like him...lol

[@Foxmiddle]

makes it easy

[@kareemhani4530]

Thank you very much

[@steve_austin100]

Why is it so hard for lecturers to emulate the same stuff this guy is doing 🚶

[@maximlavrenko1164]

20:20 I don't get it. how did you put the y inside the integral??

[@darwinmunoz-silva469]

Sir on your last example I thin you forgot to put 1/2 on the formula or am I wrong XD hehe

[@joumanaswailem6245]

guys doesn't momunt means f.d.sin & momentum is m.v why did he say momunt is equal to m.d I'm so confuseddd

[@joselistino6195]

What happened to 1/2 in the last part of the video?

[@joluju2375]

He forgot it, then realized his mistake 3mn later, at the very end.

[@violetsarenotblue2877]

Forgive me, my calculus is a bit rusty, but how exactly did you move the x into (from a to b) ∫(f(x)-g(x)dx at 22:23? Are we assuming that x is a constant? Or is this some other rule I haven't encountered yet?

[@adsoyad-ln7zb]

Same i cant figure out why can this happen

[@hunterjones4234]

yo did you end up figuring it out?

[@verrainurahara]

That makes absolutely no sense without a valid argument

[@catholicmusictimandcatheri8023]

Do you not have to work out the integral before you multiply by f(x) + g(x)/2?

[@ahmedrizwan3465]

this is calculus 1 right?

[@EricPham-ui6bt]

Can you believe it if just sunlight alone by using moment it add. 544 m/s^2 acceleration

[@hasanxalid8904]

wooow how amazing you are boy alot of thanksssssssssssss

[@belliebella9414]

For the y where does the 1/2 after limit a to b come from

[@julianfabregas8899]

my only issue is finding the centroid and the shape opens downward on the x axis like y=x and y=2x-4

[@yunoletmehaveaname]

A lot if the lesson is lost in the algebra...

[@arkofsalvation7806]

Wow!! So helpful techniques, thank you so much Organic.. By the way you are you??😂😂😂

[@solomonetim3041]

Pls I don't understand how u substitute m1y1+m2y3 pls where did u u get the numbers from sir...I mean this 8(5)+12(2) pls answer pls 🙏

[@markkennedy9767]

Can you give a reason why we can always find a horizontal line y=a through the lamina such that the sum of all the moments on either side of this line (ie the integral) is guaranteed to be zero. Or indeed why one can always find a line y=mx+c through the lamina where the sum of the moments on either side of it sum to zero. I know it's intuitively obvious (intersection of plumb lines hanging from different positions on the lamina in physics for example) but Id love to see a proof of this. Unfortunately I can't find an answer anywhere.

[@trevorbilak-sackin792]

Correct me if I'm wrong, but Moment is defined as rxf, r being the distance from the point you're focusing on, and f being the force applied. It simplifies to basically be torque (force times distance), but mass isn't a weight so how can they be the same

[@Biggyweezer69]

If you assume gravity is constant at every point on the lever/masses it can be ignored, since it will be the same for both moments, when comparing them it will be divided out. If gravity were different on one side of the fulcrum you would need to take that into account and use mass not weight. :3

[@joluju2375]

I agree with Otaku Fam. In order to find a center of mass, we compare things. Whether you use distance*force or distance*mass for a comparison is of no importance, just because it's only a comparison. I mean (D1*F1)/(D2*F2) = (D1*F1*g)/(D2*F2*g) = (D1*M1)/(D2*M2)

[@sichengchen-b3p]

I love you❤

[@ruchikabhuyan1501]

how would we go about finding the centre of mass for a three-dimensional figure? would the z-coordinate be found in a similar fashion as x and y?

[@meinUnishit]

yes do it like usually but threat each coordinate as an individual thing.

[@jisancy5423]

still dont understand what is the different between center of mass and centroid

[@verrainurahara]

The step at 22:26 makes no sense. You cant take the x into the integral without a valid argument.

[@VikinR1999]

see you guys in retake exams

[@shelley9167]

Thank youuuu!

[@leomessigoalsonly8102]

Well i don't know where our ½ "From the formula" go all of a sudden

[@sumanthsridhar2752]

at 19:00, why does the location go under the integral?

[@squareroot1698]

38:02 when he plugged in lower limit -2 as x, he didnt apply the multiplication of 2/9 outside the brackets.... why?

[@MRZEE-nf1fq]

37:52 wouldn't the even power of -X^4 change the sign of x ?

[@asoo6099]

تالي عمري اقرا ع امرييكي💔😒

[@MRHite-rq8fq]

Ur a god thank you