Statics: Lesson 8 - Intro to 3D Vectors, Deriving Blue Triangle Equations (Spherical Coordinates)

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In conclusion, he is the best instructor that we will never have :( I got a perfect score on my test by seeing his videos

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The best thing is that I was watching this tutorial with smile on my face, with no expression and feeling of confusion, knowledge and humour in one, learning couldn't get any better

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“Okey I’ll fix it” was so funny, thank you for this great and easy explanation 🤍

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lmao i read your comment the moment he just said it

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This has been the easiest explanation of 3d vectors wow

[@sebastiancurry3714]

going into my first year of engineering, taking the summer to pre-study the courses that fellow engineering students said were very difficult before i take them, consisting of statics, calculus 2, and intro physics. Thank you for the continued amazing videos. Mark my words, im gonna finish first year engineering with a 3.7+ gpa!

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I'm also in my first year of engineering and doing the same! Taking breaks to prestudy, I wanna be successful.

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Im 38 and loved math. NEVER EVER has it been clearer to me! Golden stuff!

[@darthrift]

You are a Legend! Teacher never explained this well and I've been stuck on a problem with a blue triangle for the past two days. Thanks Jeff

[@saisanjithkakkireni2041]

Thank you, Statics is a prerequisite for most of my engineering classes and I want to do well. I owe you my engineering degree.

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im watching all of these this summer thank you! I'm an environmental engineering grad student

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Bruh how do get a BS in engineering without knowing statics?

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Oscar Slute I didn’t get a BS degree in engineering, I got it in sustainability. I didn’t take statics, I just learn it in all my higher level classes. I don’t have course space to take statics.

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Happy tears. Thank you! You have no idea how much this has helped me x

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with you teaching , I Wouldn't miss a class even if I'm sick... Classes would be something to look forward to

[@iuselysol3985]

I never thought that vectors will be included for my lessons as a first year meteorology student, and I am also stuck with such problems. Thank you for this vid!

[@lilyngo2632]

THANK YOU SO MUCH, I spent an hour looking for help to do a question like this and I am so glad I came across your video

[@BornShalom]

I've been looking for a good explanation of this for days and this is the best one I found

[@annabadrishvili8999]

Alright, YOU ARE THE BEST AND COOLEST PROFESSOR, understood everything AND the jokes make it even better, kind of like the same self monologue I have when I study 😂

[@observer4322]

Oh my god, thank you for deriving the F_x, F_y, F_z, & F_H equations the way you did! The other equations make sense to me now. Liked & Subscribed.

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I finally understood my homework, thank you so much.

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Man you saved my life. My lecturer was trash!!! barely understood statics. Damn i wish i was your student.

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What a lecture was that. Hats off to you Mr. Jeff Hanson

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Damn, no wonder America has good engineers...

[@basicballing7269]

This helped me understand the concept of the parallelogram law in the 3D axis. Thank you

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This guy is a master.

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THank you for the best tutorial ever. Ive understood every word youve mentioned.

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[@gabrieldayot4921]

Thank you much sir, we are only given PDFs and our teacher does not discuss the lessons. You sir are our greatest help.

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thank you so much for this video, you helped me a lot

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We need man like you keep it up

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God bless u Dr Hanson continue helping students

[@charlesvancil100]

I thought of another way to remember the equations: "I got a sick sister, cuz; with THoes (toes) and PHIet (feet) too" SIC -- Sin Cos for X SIS -- Sin Sin for Y COS -- Cos for Z THoes and PHIet -- angle theta goes before angle phi (theta is alone in F_z) Hope this helps.

[@thegreatest1176]

that was the worse ever sentence put togehter to remember this hahah

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[@georgesadler7830]

Professor Hanson, thank you for excellent introduction to 3D Vectors.

[@saadodinjrpendatun5468]

Sir, I hope I pass and hopefully its the exam and not the other way.

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WOW...GREAT video. You're such a GREAT teacher. And GREATLY appreciate you...

[@checkmatedino9543]

Extremely genius explanation fr

[@TeknoMage13]

Phi has always been the angle from Z for my classes so this weirds me out a bit, but it was a good explanation.

[@abdulmajeedhamid2607]

Thank U dr.hanson I am ur student from Malaysia

[@tomtran9234]

I really like the way he explains things and he is funny.

[@tuxedogaming5289]

Was messing around with trig and vectors just because I had a thought that you could use both of them together, I tried but was a lil confused. however the door/plane helpful. after looking at it that way i immediately understood

[@joeyni2861]

You literally taught me such a good method just a quick question for delta z what if the professor gave you a triangle instead of a angle

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I'm doing calc 2 right now too! Good luck to ya!!

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Thank you Mr. Hanson this video genuinely helped me so much may peace be upon you.

[@jonathansanchez2854]

Question, so you know how in 2D system, Fx is not always sin but it can also be cos and Fy is not always cos it can also be sin. Here in 3D system will be Fx always be Fcos(swing angle)sin(thetaz) and Fy be Fsin(swing angle)cos(thetaz) and Fz be Fcos(thetaz) or there situation that just like in the 2D system they can change??

[@malwina8665]

I think that in the 2D the Fx coordinate is always cos as in the unit circle, and on the plane it’s Fx= Fcos(theta)

[@thegreatest1176]

again thank u mr henson. WIsh i had u as a teacher

[@jordanwillis243]

Thank you for this. I'm a senior electrical engineering student and statics might be the hardest class I take this semester lol

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Wow. Im doing aerospace engineering and rn statics is easily the toughest class :/

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@@Error-br1uy it’s a weird one to get your head wrapped around at first, but the main thing is to just follow your rules and think about things logically in a step by step way. I think statics looks scarier than it actually is because once you start breaking things down things start to click.

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@@jordanwillis243 its only the start of 2nd week, we had our first homework assignment and i got 2/10 correct

[@jordanwillis243]

@@Error-br1uy Hey, that happens…. And it’s only one assignment. I’ve made 35’s on midterms and still passed the class. What was the homework assignment over? Moments and force equations?

[@Error-br1uy]

@@jordanwillis243 Wow. And right now it’s just masses and forces in 2D/3D space. Calculating masses/stress on cables, pulleys, etc

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best lectures hands down

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Your teaching style is so nice and funny

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Thank you for the hard work! I salute your passion and dedication, I hope you inspire others to teach in such a remarkable way. Godbless Sir!

[@Asimaramisa]

You are awesome! This was so easy to understand, thank you!

[@alamgirk.s.quayyumchowdhur5404]

Love you boss, you made it so much easier.

[@kasiecochran2262]

What happens when axis changes? My professor likes switching the axis and I was wondering how it affects those equations?

[@davidbird5157]

I would also like to know this :)

[@jesseg.6852]

I second that

[@kagehina4930]

What's great about those identities is that I just learned them from multivariable calculus. everthing is related

[@Ray-jn7hl]

This was very helpful, thank you so much :)

[@SundayBenson-ex6lg]

Kudos to you sir

[@ehotech4709]

You make this look simple huh!!!!!

[@chiranthikawalpitagamage7171]

Thank you sir!! You're a great explainer❤

[@NoFaceFiles]

The blue triangle equations will be different if we are using a different orientation of the axis, but it’s still all the same.

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Thank you ❤❤

[@pjgd8639]

Dude, awesome video !!!!

[@rhythm7781]

I need some extra instructions on how to find Qx/Qy for force F for a similar question, really stuck on it.

[@nafismishkat9655]

Thank you Sir ❤❤

[@jesseg.6852]

When the axis letters are switched how does this change the equations if at all?

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Very interesting and funny guy. Liked your vidoes. :)

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Thank you

[@SamuelOdutayo-pl5rm]

comprehensive 😊

[@bobandweave763]

Dr. Hanson I get what you are saying all day long. I do not understand the way the book explains it. Thank you

[@KEINERUGABAEVANS]

Waooo. Atleast now I understand something

[@Rapstarnazry4981]

i have a question , Does the blue triangle equations work for all 3D problems ? i just substitute the variables i have identified

[@davidc.7305]

Is there a proper term for these "Blue Triangle Equations"? I could've sworn I've seen these in my multivariable calculus textbook but don't remember what they were called.

[@kumarsumit...91]

Bahut achha lga sir

[@kaursingh637]

sir -thank u for excellent lecture= pls solve example -amarjit =india

[@clearflow7925]

12:18 im trying this equation for a stupid statics problem that looks like a green metal thing stuck to piece of stone. For some reason... the Fy and Fx values are switched... sorry if im not making sense

[@quillingwithtina5505]

You are a god

[@johnkhoury5429]

What is F subset h? Where did you derive it from? Thanks for your videos

[@johnkhoury5429]

I figured out whatF subset h stands for!! It is the hypotenuse of the imaginary door which will be the vector projected on the plane looking down from the helicopter to determine how far it swung from the X axis.

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I LOVE YOU!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

[@manmohanbisht69]

Sir can u give me example of 3 components of a vector in our real life. 2 D components we can understand e. g. A box kept on inclined plane. Weight can be resolve into 2 components. Mg sin θ and mg cos θ

[@frozenporcupine]

Thank you Prof

[@ConceptualCalculus]

You seem to have reversed the roles of phi and theta as compared to how Hibbeler uses them. Is there a reason for that?

[@ham5483]

Why are the axis all reversed? Isnt y vertical, z 3d, and x the horizontal axis?

[@azaglowilliam6072]

The axis is imaginary ..it can be anywhere

[@news01932]

You are the best

[@unknown-gy8jz]

thank you

[@julianerising6817]

What statics book are you using?

[@nashnicholson3669]

Where does Fh come from? Can anyone explain it a little more in depth?

[@Error-br1uy]

What do I do when I dont know theta sub 2 though. Or F. I was only given Fx, Fz, and the angle between F and the Y axis :(

[@kumarshubham1164]

Sir which book are u using? I mean i want to know tha name of the book u showed at around 2.00

[@ConceptualCalculus]

Looks like Hibbeler.

[@whataboutkris-kun]

banger video

[@edmarx2325]

Dude, what book did you use?

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Hero.

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I guess my name changed to Johnny and I'm now weak sauce 😵‍💫

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DO YOU HAVE A VIDEO 7 IN THE SERIES IT SKIPPED FROM 6 TO 8

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Yes definitely! Are you on the playlist?

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what book do you use?

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I love you

[@southside2459]

7:50 very important people take notes here

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Love u❤️🤭

[@franciscomellone1041]

Which book are you talking about?

[@evelinevelin6282]

I think Hibbler 14 edition