How does a Stepper Motor work?

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  • čas přidán 18. 10. 2016
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    Stepper motors are the one of the most widely used motor type due to its simplicity and position control capability. This video gives a step-by-step explanation of variable reluctance stepper motor and hybrid stepper motor with help of animation. It also explains the concept of half stepping.

Komentáře • 914

  • @Lesics
    @Lesics  Před 6 lety +207

    Dear viewers, Please support our educational service at www.patreon.com/LearnEngineering . Your support will enable us to release 2 videos/month.

    • @fatherwu9335
      @fatherwu9335 Před 6 lety +1

      Learn Engineering 一人

    • @createlifejr
      @createlifejr Před 6 lety

      Is it possible to reduce the step size if we replace the rotor and stator having different no of teeth?
      say 72 rotor teeth and 70 stator teeth will we get a step angle of 1.25 deg?

    • @NathanaelGreer
      @NathanaelGreer Před 6 lety +1

      Make a better video then maybe??

    • @wilsonkanehisa8613
      @wilsonkanehisa8613 Před 6 lety +1

      Learn Engineering

    • @vasanthamahesh695
      @vasanthamahesh695 Před 6 lety

      createlyf ,,,yaa ,,it deepends on the type of application, but normally made with 1.8degree step size,,

  • @NixodCreations
    @NixodCreations Před 7 lety +40

    This channel is great, always something actually new to learn!
    Other channels just cover the same old stuff I worked out as a kid (lift, basic electricity, basic powerplant etc).

  • @docrider7388
    @docrider7388 Před 7 lety +27

    The clarity of the explanation reflects the depth of your knowledge. Your graphics team has worked hard too. You deserve every penny you get. Well earned!

  • @jjosa52
    @jjosa52 Před 7 lety +171

    Videos like this saves me a ton of hours learning.. Keep the great job

    • @steamsteam6607
      @steamsteam6607 Před 6 lety +14

      Very smart people must make these. Such clear, simple and to the point explanations.

  • @RapiBurrito
    @RapiBurrito Před 7 lety +37

    An amazingly explained video, you guys earn every penny that goes to your patreon.

  • @SgtJoeSmith
    @SgtJoeSmith Před 7 lety +1876

    narrators voice was done using stepper motors. lol

    • @josempulido2266
      @josempulido2266 Před 5 lety +8

      Wah ha ha. You are right.

    • @nelsondarwinpaktech3954
      @nelsondarwinpaktech3954 Před 5 lety +5

      ha ha,,,u r right,,,,joe,,,

    • @br6768
      @br6768 Před 5 lety +7

      I feel like hes yelling at me! (lips quiver)

    • @MrLanceDBrown
      @MrLanceDBrown Před 5 lety +31

      I can barely stand this style of narration. It’s just feel incredibly fake. Please remake this and just talk to us normally next time. Thanks.

    • @mzwandilegwangwa6690
      @mzwandilegwangwa6690 Před 4 lety +2

      @Evi1M4chine
      O

  • @DineshYadav14
    @DineshYadav14 Před 7 lety +28

    Brilliantly explained and finally I understood how,what & why of Stepper motors and its applications.
    thanks

  • @Kluneberg
    @Kluneberg Před 7 lety +66

    Very well explained, thanks.

  • @jrnascimento1448
    @jrnascimento1448 Před 7 lety +28

    PERFECT explanation as always. Thanks!

  • @BrilliantDesignOnline
    @BrilliantDesignOnline Před 3 lety +76

    As one who used steppers in my CNC, it is VERY interesting to see the design intent contained within.

  • @n3rdbear
    @n3rdbear Před 7 lety +241

    This is way better than going to class and sitting for an hour and 50 minutes listening to someone yap and draw crappy diagrams on a whiteboard.

    • @harshakoli4860
      @harshakoli4860 Před rokem +1

      Ifkr

    • @BariumCobaltNitrog3n
      @BariumCobaltNitrog3n Před 8 měsíci +7

      No it isn't better. A lot of it is wrong but it doesn't matter you won't remember any of it anyway. What is reluctance? Why does Tesla use AC motors? What's the difference between stepper and induction? TL;dr

    • @martinswiney2192
      @martinswiney2192 Před 8 měsíci +2

      @@BariumCobaltNitrog3nYou mean the way you forgot sentence structure?

    • @BariumCobaltNitrog3n
      @BariumCobaltNitrog3n Před 8 měsíci

      @@martinswiney2192 That didn't happen

    • @jonothankaplan
      @jonothankaplan Před 8 měsíci +4

      ​@@BariumCobaltNitrog3nhe's just trolling
      I do agree with you however, students need to learn the fundamentals and related equations to know properly what's going on.
      The original comment is just a shallow gripe about the education system

  • @stkupr
    @stkupr Před 7 lety +65

    The most clear explanation videos from what I've seen!

    • @salmanparsi8239
      @salmanparsi8239 Před 5 lety

      The same

    • @blackdaan
      @blackdaan Před 4 lety

      3rd time i tried to understand this.. finally a video that explains it good..

    • @phorzer32
      @phorzer32 Před 3 lety

      No, I don't got it...

    • @stkupr
      @stkupr Před 3 lety

      @@phorzer32 Probably, it's just not something that can be understood from the 1st time :-) At lest, as for me.

    • @phorzer32
      @phorzer32 Před 3 lety

      @@stkupr No, I'm just verry dumb

  • @CombraStudios
    @CombraStudios Před 7 lety +5

    Thank you for everything! At first I was skeptical of the slowness of your explanations. Now I appreciate that!

    • @CombraStudios
      @CombraStudios Před 2 lety

      2 years ago I joined a company where we use this exact motor but I forgot I ever watched this video

  • @mrnaseem6507
    @mrnaseem6507 Před 6 lety +4

    You guys are just amazing. Every time I click on your videos, I just know I'm gonna learn something and that too in a simplest way possible. Thanks y'all. ❤

  • @aashishsharma8133
    @aashishsharma8133 Před 6 lety

    Best visualization I've seen yet. THANKS for this.

  • @Dartheomus
    @Dartheomus Před 9 měsíci

    Absolutely perfect animation and level of detail for an introductory video!

  • @richardoky
    @richardoky Před 2 lety +14

    I have worked on many industrial robots at an automotive company, All used servo motors with encoders attached and harmonic drives. The harmonic drive is a very high ratio speed reducer and doesn't use gears so there is almost no play, The encoder is hooked directly to the motor shaft, it consist of a thin wheel with small perforations and a led on one side and light detection on the other. As the motor turns the light going through the perforations are read and counted. So when the robot goes from point a to point b the encoder keeps track of the number of flashes there probably is a 1000 or so perforations around the disc so even a very small fraction of a rotation is even monitored. So to repeat the same moment from home position 0 point the controller just runs the servo to the same point by using the encoder data stored. A little more to it than that such as it can also tell how fast it is moving and direction by the encoder. So there is where you get the extreme accuracy, even 1/1000 of the motor rotation is counted and the harmonic drive may be 50 to 100:1 ratio.

    • @Term-0
      @Term-0 Před 7 měsíci

      Does the encoder use gray coded binary, or is it just based on rotation but not exact position?

    • @Davidsavage8008
      @Davidsavage8008 Před 2 měsíci

      44 teeth just like a micrometer .

  • @ratgreen
    @ratgreen Před 7 lety +29

    Great video. Whoever invented the stepper motor is a genius.

    • @asm_nop
      @asm_nop Před 7 lety +1

      ratgreen
      the precision you can have with them is insane. imagine a SM with many more coil pairs and teeth that can do fractional stepping based on the coils that you engage.

    • @microdesigns2000
      @microdesigns2000 Před 7 lety +7

      The inventor of the stepper motor is genius. The person who decided they should be made from cheap sheet metal is genius. They made stepper motors before computers to get accurate positioning by remote control, also genius.

    • @microdesigns2000
      @microdesigns2000 Před 7 lety +1

      I think Oriental Motor has 5-phase steppers that do get more accurate positioning. You image, somebody delivers. I think it is patented, so they aren't too popular yet. But they are known for quieter operation and better accuracy, and higher prices.

    • @glennso47
      @glennso47 Před 6 lety

      Dennis Fox Probably wasn't Al Gore.

    • @Aweoe
      @Aweoe Před 3 lety

      @Evi1M4chine Yeah? What have you made genius?

  • @abdelrahmangamalmahdy
    @abdelrahmangamalmahdy Před 7 lety +2

    Thank you for making such a great video!
    I understood the first motor though I didn't get how exactly the more common one works however I got some intuitive understanding of how they work.. thanks

  • @MilquetoastMan
    @MilquetoastMan Před 7 lety +1

    Thank you! This video explains everything so clearly. Looking forward to future videos!

  • @skrish89
    @skrish89 Před 7 lety +14

    Thank you So Much !
    Theory was not that intresting watching your video & studying know give's ma good idea how it word's .
    thank's again !

  • @joshthompson1755
    @joshthompson1755 Před 3 lety +12

    theres a guy on youtube that makes music with these, but by the looks of it, smaller snd cheaper units. It’s awesome.

  • @pardeepchhikara2170
    @pardeepchhikara2170 Před 2 lety

    Best explanation of stepper motor I have seen so far. Thank you.

  • @puneetkumargupta435
    @puneetkumargupta435 Před 2 lety +1

    Thanks Lesics team, you have an amazing art to teach typical things easily.

  • @dodman0907153500
    @dodman0907153500 Před 7 lety +698

    industrial robots very rarely using stepper motors. servos are much more common...
    also industrial machines NEVER use open loop system. they rely heavily on position encoders...

    • @arunendrasingh1894
      @arunendrasingh1894 Před 7 lety +14

      @jozef svantner Can you explain what is a positional encoder?

    • @dodman0907153500
      @dodman0907153500 Před 7 lety +104

      position encoder is feedback device.
      it is mounted directly on motor shaft (in most cases) reading motor movement and feeding it back to driver. hence the term - closed loop gathered information can be used to verify motor movement, accuracy and repeatability, compensate for high load, overload detectoin, detection an compenastion of mechanical parts wear and many more...

    • @arunendrasingh1894
      @arunendrasingh1894 Před 7 lety +4

      Billy Willy what is a resolver?

    • @arunendrasingh1894
      @arunendrasingh1894 Před 7 lety +5

      jozef svantner thank you for your reply. Can you shed some light on functionality of inductosyn?

    • @user-eu8ro3lx7g
      @user-eu8ro3lx7g Před 6 lety +6

      totally i agree with your opinion, anyway, the explanation about stepping motor is awesome!

  • @2bikemikesguitartopics145
    @2bikemikesguitartopics145 Před 7 lety +63

    very nice. the theory was great, regardless of others comments. easy to grasp for non engeneer/teckie types.

  • @sfkeepay
    @sfkeepay Před 2 lety

    The clearest explanation for a stepper motor I’ve ever seen.

  • @juans6639
    @juans6639 Před 6 lety

    Excellently explained and thanks a million for NOT having any background RAP CRAP noise OR any other distracting sounds.

  • @nfsking2000
    @nfsking2000 Před 7 lety +3

    Great 🏆 You should make a video about Switched Reluctance Motor.

  • @Bravohalo
    @Bravohalo Před 3 lety +16

    Spaceyman brought me here.

  • @owaisqureshi2663
    @owaisqureshi2663 Před 7 lety +2

    Very precise explanation , you guys are doing a great job.

  • @user-ml3yf7pg7g
    @user-ml3yf7pg7g Před 5 měsíci

    Thank you guys, that was the best explanation of how a stepper motor work. Great job !

  • @dangerwolk9417
    @dangerwolk9417 Před rokem +3

    I have learn from these chanal simple understanding ........................

  • @bjorn5209
    @bjorn5209 Před 4 lety +6

    SO simple yet SO effective! Half stepping is crazy cool! Holy shit humans are amazing.

    • @uu9903
      @uu9903 Před 3 lety

      eyyy a fellow technology fan

    • @anonony9081
      @anonony9081 Před 3 lety +2

      Nature is amazing, we're just amazing at exploiting it's features :)

  • @chrisvolk4730
    @chrisvolk4730 Před 7 lety +2

    Fantastic. Thank you very much! Folks, please support these people.

  • @SK.The-Machine-Designer

    Thank you sir you are the one who given complete understanding of the hybrid stepper motor working principles

  • @habiks
    @habiks Před 7 lety +428

    To be accurate.. most robotic arms use servos not stepper.. nice explanation anyway.

    • @laharl2k
      @laharl2k Před 7 lety +12

      are those dc servos or hybrid s as in steppers with feedback loop?
      I know DCs are way more efficient and powerfull but seeing that even cnc machines use steppers makes me wonder why cant they just use brushless dcs with a quadrature encoder.

    • @habiks
      @habiks Před 7 lety

      Laharl Krichevskoy this are plain dc motors with feedback loop.

    • @laharl2k
      @laharl2k Před 7 lety +1

      Google+ SUCKS BALLS - the worst forced social network
      wish i oul get one of those. I've been trying to get a dc motor with an passable res encoder and the built in reduction and no luck, i either find the motor with one or the other, but never the two at the same time :(

    • @thundercactus
      @thundercactus Před 7 lety +16

      Some servomotors are closed loop stepper motors. Although AC motors are the most common, but older machines tend to use DC brush motors, not stepper motors.

    • @laharl2k
      @laharl2k Před 7 lety +1

      thundercactus yeah, and those are expensive as fuck!
      If it's not for a very expensive machine, or if it is for some home project, better use a dc motor with an encoder and an arduino pro mini as the pid positional control.

  • @AhmedHan
    @AhmedHan Před 7 lety +3

    OK, well understood the step motor. But one more question: How do you rotate the 1.8 degree motor in the reverse direction?

    • @Gu1tarZer0
      @Gu1tarZer0 Před 7 lety +14

      reverse polarity

    • @AlbertaGeek
      @AlbertaGeek Před 7 lety +11

      "Reverse the polarity" - the near-universal solution to every problem a Starship engineer will encounter.

  • @Samlol23_drrich
    @Samlol23_drrich Před 2 lety

    This video was fantastic, and very well done. Thank you for the very clear explanation.

  • @devarajan2291
    @devarajan2291 Před 7 lety

    excellent videos.each video covers all important concepts of a particular machine. animation and explanations are pretty good.
    kindly upload more videos on special electrical machines

  • @NazimUdDin-tg8jg
    @NazimUdDin-tg8jg Před 7 lety +126

    make a video on servo motor. .

    • @flaplaya
      @flaplaya Před 7 lety +3

      They just did.
      65 idiot likes!
      They are two in the same. One likes speed the other likes torque. Same class of motor though.

    • @franciskumar8612
      @franciskumar8612 Před 7 lety +1

      Nazim Ud Din okay

    • @franciskumar8612
      @franciskumar8612 Před 7 lety +1

      okay

    • @gitnote
      @gitnote Před 7 lety +3

      That is not entirely true. Servo motor has a closed loop system to achieve precision, meaning it has an encoder on the motor itself and a driver that reads encoder information to achieve/correct positioning. Many motor types can be used as a servo motor. AC servos are most commonly used, not steppers.

    • @craig21041981
      @craig21041981 Před 6 lety

      Spot on mate AC servos are most common in automation and are completely different from stepper motors. Typically using resolvers or hyperface encoders to provide a closed loop feedback of the motor position.

  • @pedroartico
    @pedroartico Před 7 lety +8

    Excelent video. But i thought that all the robotic arms motor was a servo motor, stepper motors are too heavy compared to a servomotor with the same torque. Anyway, very nice explanation and keep going =)

    • @evbunke2
      @evbunke2 Před 7 lety +2

      Yeah great vid, but industrial robots and CNC machinery all use servos. The only ones that use steppers are low end hobbiest models.

    • @pedroartico
      @pedroartico Před 7 lety

      Evan Bunke Exactly = )

    • @confidential303
      @confidential303 Před 5 lety

      hi guys I am helping someone with a stepper motor though I am not into motors .. I would like to use a smaller stepper motor for an application but is it possible to deliver the same torque with gears? and how does the ratio matter of the bigger and smaller stepper motor relate to each other? does 2 times a diameter deliver a 2 times higher torque?

  • @ucnamnguyen7549
    @ucnamnguyen7549 Před 5 lety

    this's really helpful, u're making great videos, pls keep doing more. Thanks !

  • @sudarshanreddy2781
    @sudarshanreddy2781 Před 5 lety

    Such a beautiful and simple explanation.... Just loved it

  • @antoniojosefernandezespino4455

    Aren't the hybrid's windings wrong? I mean, their magnetic fields seems to be backwards. If we follow the current direction through the coils, every instance where it says north it should be south and vice versa.

  • @steveyts9003
    @steveyts9003 Před 6 lety +7

    But It seems the N S pole not obey right hand rule?

  • @seymat.3742
    @seymat.3742 Před 4 lety

    This video helped me a lot to understand and visualize the topic, thanks!

  • @saadmaanrahman9200
    @saadmaanrahman9200 Před 6 lety

    Simple demonstration of a complicated operation. Great!!!!

  • @m.jimth.
    @m.jimth. Před 7 lety +6

    can someone explain to me why the step angle is 1/4 of the angular pitch
    h ????

    • @n5roor
      @n5roor Před 7 lety +32

      Let's assume we're looking at only 1 of the 48 stator teeth. Call it tooth 'x'.
      Also, let's assume we're looking at only 1 of the 50 rotor teeth. Call it tooth 'y'.
      We know one of the following cases could occur:
      1- 'y' is left-half aligned with tooth 'x'
      2- 'y' is perfectly aligned with tooth 'x'
      3- 'y' is right-half aligned with tooth 'x'
      4- 'y' is unaligned with tooth 'x' or any other stator tooth
      Therefore, we have 4 possible scenarios for each rotor tooth. This means we have 50*4=200 different rotor tooth positions. We also know that rotating 1 revolution means rotating 360 degrees.
      Do the calculations:
      [360 degrees]/[200 positions] = 1.8 degrees/position

    • @Lesics
      @Lesics  Před 7 lety +7

      It is clear from the diagram. Each time the rotor has to move 1/4th of angular pitch to align with the new North pole. The special geometrical arrangement facilitates this.

    • @m.jimth.
      @m.jimth. Před 7 lety +1

      thanks n5roor this cleared up

    • @m.jimth.
      @m.jimth. Před 7 lety

      thank you all for your replay

    • @unclesam1952
      @unclesam1952 Před 7 lety

      Podhigai

  • @Dim3s
    @Dim3s Před 2 lety +4

    What are you doing step motor?

  • @nomann5244
    @nomann5244 Před 2 lety

    4 years and it's still the best video.

  • @videogameclips947
    @videogameclips947 Před 2 lety +2

    I swear these animations teach us better than those teachers' hands.

  • @amimor1000
    @amimor1000 Před 7 lety +47

    Are you sure that these robots used stepper motors? I thing they use servo motors.

    • @thundercactus
      @thundercactus Před 7 lety +12

      Servomotors refer to a closed loop system, not a specific type of motor. The most common servos are AC motors, with older machines using brushed dc motors. But stepper motors can be used as a closed loop servomotor.

    • @amimor1000
      @amimor1000 Před 7 lety +1

      I have not seen the robots (except toys) which use stepper motors it seems to me that a much better solution is a servo motor (ac gear encoder). It seems to me that this is due to heavy weight stepper motors.

    • @thundercactus
      @thundercactus Před 7 lety +7

      hobby machines may use stepper motors, but older machines used dc brush servos and new machines use ac servos. There's really no excuse to not have closed loop feedback control in a machine that requires consistent precision.

    • @yingbeizhu9256
      @yingbeizhu9256 Před 6 lety

      toys ..........................................?!

  • @PsyMongazoid
    @PsyMongazoid Před 5 lety +4

    Imagine what would happen if this guy spoke to anyone in that voice face to face. SMACK!

  • @hselec
    @hselec Před 4 lety

    very usefully video! 꾸준히 시청하겠습니다.

  • @pazera66
    @pazera66 Před 7 lety

    Great video. I wish you had better audience and make more of them as your work is extremely usefull to understanding basics of operation for people that cannot get this knowledge easily enough or in reasonable time.

  • @shesmypresident1637
    @shesmypresident1637 Před 5 lety +3

    Okay , I'm working with this robot arm and it started attacking me like it has gained a sentient state of existence .. It has made its intentions clear , What have I DONE??!! What have I created !!

  • @oshavlfarms7239
    @oshavlfarms7239 Před 7 lety +10

    Quite literally the worst voiceover ever. Why does every statement sound like an unsure question?

    • @siggyincr7447
      @siggyincr7447 Před 7 lety

      It almost sounds like a very advanced computer voice. Their videos have excellent animations but get annoying in the narration.

    • @aslanburnley
      @aslanburnley Před 6 lety +1

      I like the narration. It makes me think that I am learning.

    • @svtirefire
      @svtirefire Před 6 lety

      An android that loathes using contractions.

    • @geek65535
      @geek65535 Před 6 lety

      The up talking makes this very hard to listen to...

  • @sidamarali3030
    @sidamarali3030 Před 4 lety +1

    Amazing. Your videos just send big doses of adrinaline in my blood and make feel as though am the one who created all that technology. Thanks a million for the knowledge

  • @zcxvasdfqwer1234
    @zcxvasdfqwer1234 Před 6 lety

    Thank you for this! Amazing job explaining. Subscribed!

  • @isaac-h
    @isaac-h Před 5 lety

    Thanks for making this video, it helped me with my homework!

  • @joshuapitong899
    @joshuapitong899 Před 2 lety

    Thank you for all your effort and hardwork.❤

  • @igordaohw
    @igordaohw Před 7 lety

    This is such an awesome youtube channel. Very interesting content. Keep it up!

  • @meetan-
    @meetan- Před 7 lety +1

    extraordinary mental capability for whoever invented this motor . ..salute him

  • @rkj8487
    @rkj8487 Před 4 lety

    BEST TUTORIAL VIDEO I HAVE EVER SEEN ..THANKS

  • @BradBo1140
    @BradBo1140 Před 3 lety

    First time i learned how a stepper motor works. Watched tons of milling videos too. Engineering is so amazing. Humans are so smart!

  • @chiquino5
    @chiquino5 Před 5 lety

    Excelente explicativo!! Muchas gracias!! 👏🏼👏🏼👏🏼

  • @vunguyenngoc6241
    @vunguyenngoc6241 Před 6 lety

    This video is very very helpful. Thanks guys so much!

  • @moussalamrani6130
    @moussalamrani6130 Před 4 lety

    thank for your well demonstration we willing to look forward for new updated video from you

  • @nikhilsalgar8274
    @nikhilsalgar8274 Před 6 lety

    Thanks for clearing my concepts

  • @motobaafeoke4900
    @motobaafeoke4900 Před rokem

    Thanks a lot for the video! Really helped me understand steppers

  • @ebfsantos
    @ebfsantos Před 3 lety

    Amazingly educative video. Thank you.

  • @wilsonmartial1224
    @wilsonmartial1224 Před 7 lety +2

    bravo pour vos videos ,tres interessant et tres explicatif

  • @MrFernandoBedoya
    @MrFernandoBedoya Před 7 lety

    Excellent video. Congratulations and thanks a million!

  • @nwabuezeozuzu6370
    @nwabuezeozuzu6370 Před 3 lety

    Take a minute to appreciate the ingenuity behind this tech

  • @maaz_salik
    @maaz_salik Před 10 měsíci

    A very good video, the working was well understandable and visible

  • @trittc
    @trittc Před 6 lety

    Very well done. Very helpful. I just supported you on Patreon.

  • @Automationacademytv
    @Automationacademytv Před 4 lety

    Thanks for your video it helps my channel grow and push me
    make more, Good Job

  • @maxxsmaxx1901
    @maxxsmaxx1901 Před 6 lety

    Excellent demo and lecture !

  • @samopper
    @samopper Před 6 lety

    I love the videos you guys make please keep it up!

  • @solidus8098
    @solidus8098 Před 6 lety +1

    WOW! Very well explained!!

  • @Music-tt1wl
    @Music-tt1wl Před 5 lety

    Very clear explanation, thanks!

  • @SiradanBirisi8
    @SiradanBirisi8 Před 3 lety

    Great explanation. Thank you so much!

  • @grassroot011
    @grassroot011 Před 4 lety

    Good and concise explanation. Thanks.

  • @mulunehgetnet4827
    @mulunehgetnet4827 Před 6 lety

    Thanks sir in advance !It is helpful for my project which requires intermittent motion.

  • @HermanXun
    @HermanXun Před 6 lety

    Thanks for this easy learning video.

  • @recepbashir7216
    @recepbashir7216 Před 3 lety

    thanks for the monitor animation and explanation.

  • @kientran4224
    @kientran4224 Před 5 lety

    Very easy to understand. Thank you !

  • @HOLLYWOODlosANGELES
    @HOLLYWOODlosANGELES Před 4 lety

    *Vraiment bien expliqué, Merci beaucoup!*

  • @serkanozkan8793
    @serkanozkan8793 Před 4 lety

    Best explanation of the technique.

  • @jassemtoumi2876
    @jassemtoumi2876 Před 3 lety

    thanks so much for the animation - it is very useful

  • @avi1471717
    @avi1471717 Před 7 lety

    you did an excellent explaintion. thank you

  • @Pravin47
    @Pravin47 Před 6 lety

    very useful video thanks for making such infomative and easy to learn video

  • @jix177
    @jix177 Před 7 lety

    Very well explained. Thanks.

  • @javierferrer4634
    @javierferrer4634 Před 5 lety

    I appreciate this video, thank you!

  • @Henrix1998
    @Henrix1998 Před 7 lety +2

    So simple but absolutely clever

  • @mr.l6332
    @mr.l6332 Před 2 lety

    So clear, love it. Thanks

  • @user-eo7vj1px5m
    @user-eo7vj1px5m Před 5 měsíci

    I just got to say thanks, this helps a lot!

  • @user-eu8ro3lx7g
    @user-eu8ro3lx7g Před 6 lety

    what a great explanation!, thanks a lot

  • @chrismiller4990
    @chrismiller4990 Před 4 lety

    Great video, thanks for sharing!