Find the centroid, calculus 2
ฝัง
- เผยแพร่เมื่อ 11 ก.ย. 2024
- Find the centroid, calculus 2
🔑 If you enjoy my videos, then you can click here to subscribe www.youtube.co...
🏬 Shop math t-shirt & hoodies: teespring.com/...
😎 (non math) IG: / blackpenredpen
☀️ Twitter: / blackpenredpen
Equipment:
👉 Expo Markers (black, red, blue): amzn.to/2T3ijqW
👉 The whiteboard: amzn.to/2R38KX7
👉 Ultimate Integrals On Your Wall: teespring.com/...
---------------------------------------------------------------------------------------------------
**Thanks to ALL my lovely patrons for supporting my channel and believing in what I do**
AP-IP Ben Delo Marcelo Silva Ehud Ezra 3blue1brown Joseph DeStefano
Mark Mann Philippe Zivan Sussholz AlkanKondo89 Adam Quentin Colley
Gary Tugan Stephen Stofka Alex Dodge Gary Huntress Alison Hansel
Delton Ding Klemens Christopher Ursich buda Vincent Poirier Toma Kolev
Tibees Bob Maxell A.B.C Cristian Navarro Jan Bormans Galios Theorist
Robert Sundling Stuart Wurtman Nick S William O'Corrigan Ron Jensen
Patapom Daniel Kahn Lea Denise James Steven Ridgway Jason Bucata
Mirko Schultz xeioex Jean-Manuel Izaret Jason Clement robert huff
Julian Moik Hiu Fung Lam Ronald Bryant Jan Řehák Robert Toltowicz
Angel Marchev, Jr. Antonio Luiz Brandao SquadriWilliam Laderer Natasha Caron Yevonnael Andrew Angel Marchev Sam Padilla ScienceBro Ryan Bingham
Papa Fassi Hoang Nguyen Arun Iyengar Michael Miller Sandun Panthangi
Skorj Olafsen
---------------------------------------------------------------------------------------------------
💪 If you would also like to support this channel and have your name in the video description, then you could become my patron here / blackpenredpen
Thank you,
blackpenredpen
i found this man when i was searching help for calculus and now um doing engineering mechanics "statics "he still saves my life again
..
exactly same here, I found him while I was having maths exam in class 10, then in 12, now i'm in first year CSE and he is still helping me...
@brianramz6681
Wish I found it earlier in the semester tbh... He was _great_ for calc two!
literally a miracle worker, taking my calc 2 final today and this is the last concept I need to understand. your quick and comprehensive explanations carried me through this class- cannot thank you enough.
Thanks! Best of luck to you on your final!
update: I got a 98! :)
@@blackpenredpen Wait wait wait... should it be xydx and xydy? We are basically meassuring amount of change coordinate within area? That way we are limiting rate of change to coordinate and area... right? X bar i get, it's basically searching the x coordinate, but y bar? Shouldn't it be y = 1-x^2 that implies yx is y d/dx dx of sqrt(1-y) which is y/2sqrt(1-y) from 0 to 1?
Bless you, sir. You teach thoroughly and you teach fast, enough so that I was able to pick up the core concepts in about two minutes while running close to a deadline. I'll be coming back.
woah it's woodfur00! epic
You explained that in such a straight forward and easy way. It helped so much!
This explanation is absolutely excellent my friend thank you so much, you are a brilliant teacher.
I found him while I was having maths exam in class 10, then in 12, now i'm in first year CSE and he is still helping me...
holy crap i finally understand. this man explained in 7 minutes what my professor discussed in 2 hrs
Wow, my calculus 2 teacher couldn't even give us those basic functions... Thanks for the video.
only helpful video on this site that is concise and under 10 mins and explains everything perfectly
Thank you sir. You will probably save my mechanical quiz.
Edit: You did. 25/25
I like the way you change pen
3:53 whyyy?? tho WHYYY!!!!???
th-cam.com/video/MHRN2lj15LE/w-d-xo.html
@@lisawhitaker8709 thnx bro, that guy explained just what i was looking for
@@lisawhitaker8709 Thank you!
Why?
Bundle of thanks you've made my day...♥
Where do I find the x bar and y bar equations and how they are created?
So clear, so good. Thanks man!
thank you that's so helpful
4:33 isn't the procedure when finding centroid of a region between two curves is to actually subtract the squares of the functions, not to square the difference of the functions?
I literally understand this, but my professor wants us to use her method and it's so hard
Bruh, you are the best.
Sir you didn't give the reason that why we have to square and divide equation by 2, when we are integrating for y bar.
I wonder if you can get the same answer by doing the same as x bar in terms of y
Hello Akash, I believe the reason is because it’s an integral rule!
Simple...f3f33f3 👏
It was awesome.loved this
Hell yes this is the exact example I needed first try.
I think there are a wrong because the circle equation is (x^2 + y^2 = r^2). Thus ( y = ( r^2 _ x^2) ^1/2).
why you multiplied by 1/2 @3:53 min ?
i also don't know
Great Video mate ! Can u please help me understand how the equations for centroid(x',y') have been derived ?
Anantha s rao I may not have the time recently to do that video since I have tons on my to do list. Sorry.
I am sure if u search on YT u can find some on it
Your diffeq videos look scary, I'm taking it parallel with Calc 3 in the fall. I'm told it only uses calc2 concepts but man those equations look intimidating. Hope you have a nice playlist setup for diffeq :)?
Anantha s rao yup. U can go visit my site www.blackpenredpen.com
th-cam.com/video/MHRN2lj15LE/w-d-xo.html
Amazing video, thank you very much!!♥
Pretty nice video and excelent explanation. Thank you for your job. But, what if we had to find the centroid of a function with two variables? Is there some kind of hint or similarity with single vlariable function?
Thank you, sir!
Thank you so much sir
sir= why y x 1 / 2 ? --- thank u sir - amarjit= india
you have humor noice
this can also be done using double integerals. great video.
3:50 why do you multiply by 1/2
because math tells you to, do not argue with the math gods (joking lol)
You are amazing. I wish I was your friend.
graet efforts from great man
But personally i wish soon you do a New video exclusivly on cintroid for bigginer like me
Many guys like me faces hard obstakle in the basics of cintroid problems solvig
I look for that very soon
Couse out time is roo short comparing with the final exam
Please if you see my comment dont ignore it
I need to understand the pricibes of how to face a problem & how to solve it easily
And with details
Step by step
Yes, I was looking for the derivation of the centroid formulas, too ...
yeah theres clearly a double integral somewhere, derivation is better
thank you sir
i thought he was holding a glass of wine
Thank you, my lord, and savior 🙏
thank you
i didnt understand (actually dont know) what the centroid is? could you please explain it??
Theo Papa imagine that's a plate, u can place ur finger under that point and u can balance it. It's also called the center of mass
ok thank you very much!!
Would this appear in Calculus 3 by chance?
I appeared in Calc 2 for me. I did have a unit in Calc 3 for applications of double integrals, in which we covered Moments and center of mass. It is not the same though.
I don't think this is in my Calc2 for engineers course. I'm like wtf is a centroid..
Centroid is really just the center of mass.
Caarve on a 2d object I imagine so kinda like the nucleus?
I did not learn this in my Cal 2 class.
Ahhhhhhhh ..... The Area calculation is wrong because the equation for the quarter circle should be y = Sqrt of 1 - x^2 NOT just y = 1 - x^2..... Checking this is easy. This is 1/4 of the area of a circle with radius = 1. So A = pi r^2 = pi 1^2 = pi. The quarter area is thus pi/4 NOT 2/3...............BUT the solution is correct if the shape is not a Circle but is a Parabola. It just looks like a circle so the problem should have stated it was a Parabola.
can u make a video for the proof of centroid formula
Ashwin Santhanam I usually do that in class with my students. Because I want to make it into a discussion along my proof. Not sure if I will have the time to do it in a video during these days tho since finals are coming.
blackpenredpen I hope you have time. This seems really interesting, but it wasn't covered in my calc 2 class.
Maybe this year? I haven't seen this before either. If there's a connection to probability theory, I'd like to hear that too. Got some stats classes coming up. I looked for other videos on TH-cam, but none of them go over the intuition.
Dudes.. the area of the region is basically one-fourth of the area of a circle of radius 1 unit.. pi/4 is not equal to 2/3. How did you get that 2/3... Dem. I'm confused..
You are correct ! ! .... He made a careless error. See my post on April 3, 2020 above.
Does y=1-x² even have anything to do with a circle? The equation of a circle with center in the origin and radius one is x²+y²=1, if we solve for it for y, then, assuming y is positive, we get y=√(1-x²), not y=1-x². His answer is correct.
yes, thank you!
Why you multipled y with half?
Isn't that supposed to be a parabola?
Why is the area not doubled?
I really like to follow you
Since you're working out co-ordinates, should the x bar and y bar values not satisfy the function y = 1 - x^2?
The centroid doesn't have to lie on the function. The centroid of a circle doesn't lie on its perimeter
@@danielmencl2764 the centroid never lies on the curve or the shape according to geometry
Integration applications please
cant u also determine the moment of inertia?
@blackpenredpen Sir, as per my calc book, it says that for y bar we could use the same formula for x bar except now its the integral with the limits of y rather than x and y*[y2-y1] as the integrand of the upper integral. I think that also works. Thanks a lot though !
Sir where did the 0-1 limits came from ?
Thank you for the answer
I'm sure this is too late, but this problem was specifically looking for the centroid of the region that is in the first quadrant and is bounded above by the function. To get the right bound, you just find the x-intercept in the first quadrant. To get the left bound, you just find the y intercept.
I understood this lesson in 7 minutes what i did not understand in 40 minutes from organic chemistry tutor
Sorry OCT😢
How 1/2 of y bar??
لان هو بياخد بعد ال centrid من الشريحة اللي اخد عندها تكامل
what is ur qualification academics?
👍
how to find centroid of mass in:R3
kiss