Statics: Lesson 44 - Very Challenging Centroids by Calculus Problem
Вставка
- Опубліковано 24 сер 2024
- 𝐌𝐲 𝐄𝐧𝐠𝐢𝐧𝐞𝐞𝐫𝐢𝐧𝐠 𝐍𝐨𝐭𝐞𝐛𝐨𝐨𝐤 for notes! Has graph paper, study tips, and Some Sudoku puzzles or downtime between classes! amzn.to/3pTSZXw
𝐄𝐧𝐠𝐢𝐧𝐞𝐞𝐫𝐬 𝐏𝐮𝐳𝐳𝐥𝐞 𝐁𝐨𝐨𝐤 Sodoku, Mazes, Word Search, Word Scramble - 400 puzzles and solutions - Perfect Gift! amzn.to/3KxtS3L
𝐂𝐚𝐩𝐬𝐭𝐨𝐧𝐞 𝐃𝐞𝐬𝐢𝐠𝐧 𝐉𝐨𝐮𝐫𝐧𝐚𝐥 For your senior design project documentation! 100 pages of numbered graph papers. amzn.to/3OtZJ6z
𝐅𝐄 𝐑𝐞𝐯𝐢𝐞𝐰 𝐉𝐨𝐮𝐫𝐧𝐚𝐥 For you notes and work while preparing for the FE Exam. 100 pages of graph paper! amzn.to/3ONRILn
𝐏𝐄 𝐉𝐨𝐮𝐫𝐧𝐚𝐥 𝐒𝐓𝐀𝐑 𝐋𝐨𝐠 Record your projects in preparation of your PE application or for your annual review at work...(Situation, Task, Analysis, Results) amzn.to/3rjyAMp
𝐇𝐨𝐰 𝐭𝐨 𝐀𝐜𝐞 𝐒𝐭𝐚𝐭𝐢𝐜𝐬 Great book to review or have on your shelf to make sure you never forget Statics! amzn.to/455QRKM
Top 15 Items Every Engineering Student Should Have!
1) TI 36X Pro Calculator amzn.to/2SRJWkQ
2) Circle/Angle Maker amzn.to/2SVIOwB
3) Engineering Paper amzn.to/2K7vYbP
4) Mechanical Pencils 40pk amzn.to/2GGRG4y
5) Desk/Bed Clamp Reading Light amzn.to/2YzN5qG
6) Stainless Steel Rulers amzn.to/31aqMcP
7) Small Stapler amzn.to/2ynDOrk
8) Post it Tabs for Page Markers amzn.to/2SSIP4q
9) Noise Canceling Wireless Headphones amzn.to/3aMLbdY
10) Wireless Mouse amzn.to/2ROkY5Y
11) Multicolor Pen/Pencil amzn.to/3331AXy
12) Portable Charger amzn.to/2RsitHG
13) Backpack Rain Cover amzn.to/2Gq4ATM
14) Amazon Dot amzn.to/2Gs42g4
15) Portable Bluetooth Speaker amzn.to/3aIMZV0
This video is NOT sponsored. Some product links are affiliate links which mean if you buy something we'll receive a small commission.
Follow me on Instagram / jeff_hanson_phd
Please consider supporting the channel by subscribing, commenting, and liking each video. This moves these videos up the search list and helps me greatly. Thank you for watching.
My Patreon: / jeff_hanson Please help keep the free videos coming by donating. Thank you for the many blessings.
This video is copyrighted by the Jeff Hanson for the private use of our audience. Any other use of this video or any pictures, descriptions, or accounts of the video without written consent from Jeff Hanson is strictly prohibited.
After I failed Statics I watched your "So i failed Statics" video. After watching your videos religiously, I got a B in Statics then got an A in Solids. Thank you so much!
Professor Jeff Hanson turned my semester around from failing statistics
From like 4% mid semester exam to fully 50% out of 50 on the final , biggest comeback of my life in the university.
isnt it statics
idk why that Spanish centroid joke was so funny to me. I'm becoming more of a nerd the further I get into this engineering program lmao. Great video I appreciate all the hard work that goes into these
"This dude is thick" . I laughed so hard at that. Thanks again Prof. Hanson. You're da best
Thank you Professor Hanson! I failed statics/solids 2 times, but got them easily on the third, only because I found you!!!
You are the reason I managed to get through my statics course at varsity. Thanks so much for the great explanations!!
My program here in Sweden kinda spread out Statics and Solids over several courses - "Physics 1" brought up some 2D statics problems, then it introduced 3D statics in a course called "Mechanics 2" (which was actually more of a "Dynamics" course), as well as some stuff about elastic beams and fluid statics in "Continuum Mechanics".
one question about this problem, you calculated the weight by multiplying the volume and the density of the plate. But volume x density gives mass, not weight. Don't we have to calculate the weight by multiplying it with 9.81 too?
was thinking the same thing
10:51
*QUESTION*
DOESN'T THIS EQUATION Y^2 = -3X TAKES THIS PROBLEM INTO COMPLEX NUMbER REALM WITH Y= (-3X)^(0.5) ??
#res
i think doctor hanson just incorrectly put a negative sign on there. if u would try to graph y^2 = 3x, it would look like the same as the illustration presented. but the y^2 = -3x wouldnt look the same.
i think he accidentally wrote -3x instead of 3x because technically Y^2 = -3X looks the opposite to what's drawn there.
Hey Jeff, I was just wondering if you could complete your online dynamics course... I'm really struggling now that we are beyond where your videos ended in class. You're statics course was great and I think the only reason I passed last year. Wish you were my professor haha
South Africa student here and I must say, these US units is confusing the heck outta me. But really amazing course, I enjoy it so much
Same bruh, and I go to a university in North America; they use imperial units dawg. I feel stupid.
I love you Mr. Hanson
Going to do More Dynamics Videos? Your channel was most helpful last term for Statics
At point 2:58 in the video, doesn't Density*Volume = mass, rather than weight? or am I missing something? I would have thought that to get Weight (W) you would express this as rho*V*g (where g is acceleration due to gravity = 9.81)
Im thinking the same thing
the density is in pounds. as you can see, he eliminates the units by multiplying so that we obtain weight
@haliltarbak but isn't density mass per unit volume? Correct me if im wrong but isn't Pounds one way of expressing mass and not volume? By multiplying density*volume you would get mass (since volume cancels out), so then to get weight you would multiply that expression by g (the acceleration due to gravity)
@@DoesNotChemPute yeah you are right. I think the question is this: is it still density even it is in pounds or does dr. Hanson think that so?
Mr Hanson, could u please do one lecture on the ordinary pipe wrench and chain wrench mechanism? There seems to be a gradient for about 8 degree between two jaws on the ordinary pipe wrench, why does that gradient exist, and how is that angle affect the mechanism? Compared to that what could be the advantages of chain wrench? Thank you so much 🙏🙏🙏
Greatest engineering teacher fr
I used your method of finding y-bar to find the y-bar of the question before this one and it worked perfectly
Cap
@@alexandermushibwe4745 😭😭😭
can you explain that please
You’re back sir💪🏽💪🏽
Please someone to tell me why Prof wrote x-((x\2)-((x-sq(3x))\2)) at time 22:15
you said W = D * V. Would we not get mass with that and need to * (9,81) for W?
A classic Jeff Hanson video
Omg, are you the professor's daughter?
one question. can anyone explain to me how y^(2)=-3x is equal to y=-\sqrt(3)x^((1)/(2)) in 10:43. Much appreciate if anyone could explain to me that. Love your videos sir
I don't think he did it correctly. Perhaps someone can explain?
Hello Professor, can you please explain why we don’t subtract X value from the half of the height of the rectangle not vice versa to find the Y bar @21:56?
Please help professor!!!
Why did u subtract half the height from X
Mr. Hanson, we are waiting for the rest topics of Dynamics...
It'll probably be a couple of years before the rest of his Statics and Dynamics videos come out. A lot of his videos go with his workbook so he's probably working on finishing that before making new videos.
Hey Sir.
For the part of the object with it's "curve" being modelled as "y² = -3x", I dont know if thats correct as when i put that equation in a graphing calculator, the equation pops out in the 2nd and 3rd quadrants (x being negative). However, you've drawn it in such a way that the x values are positive. Wouldn't that affect our centroid values?
he shouldnt have set y² = -3x
nice shot on Y-bar but couldn't we multiply half of the whole strip to the dA, at last, we would get < Y-bar = 1/2 * 0.16 > well that's the answer but whereas sometimes wrong solutions got the same answer as right ones I wanted to make sure of this idea...
chi migi zabun baste
damn, now I need a legend like this guy to explain electromagnetic theory to me 😁
broski ur a champion and gonna to make me pass my course but please just use meters inches and feet is mind searing
Thank you, sir.
Can you please do a signed TI 36X Pro give away. That would be such a cherished possession, better than the rings you get when you graduate engineering.
Ooooh good idea! Look for it soon
Why couldnt we take the whole rectangle as is
just a reminder you can use ti 36x pro for integrals.
Great channel ❤️
thank you so much
I missed u sir
king is backkk
welcome back
Why would we subtract half the hight of the differential rectangle from x? I just don't get it.
Because, the centroid of the differential rectangle(y bar) should be middle of itself. But we have to make an equation respect to origin. So, as y bar, the middle point of the dif. rectangle is:
(x) - (half of the rectangle height)
@@kaandemircii why an equation respect to the origin at this time
i believe it is incorrect.Instead shd be 1/2 times (x + Sqrt3 multiplied by x ^1/2 ) for y
Wow !
Professor in depressed ... 💔💔😢😥😓
How am i so early?
8:32
CUE JEOPARDY Theme music:
ua-cam.com/video/vWuQVpBeqLs/v-deo.html
Man!! Thumbs up
🐐
Well, this problem, doesn't make sense at all!!!
It's painful to watch the converting of imperial/inferior units lol