Rolling Without Slipping - A sticky adventure in rotation and translation | Doc Physics

How fast does the axle of a bike wheel move? How fast does the BOTTOM of a wheel move?
Editor's note - I found this 2012-vintage video on my hard drive. Never shared it, thought I'd been assigning it and teaching it for a while. Oops. Anyway, enjoy a timeless story of rotational dynamics.

Пікірлер: 127

  • @piyush2404
    @piyush24043 жыл бұрын

    It was very hard for me to accept that bottom of the body in rolling motion without slipping is at rest, but this video convinced me.... Thanks buddy.

  • @derryderry5672

    @derryderry5672

    3 жыл бұрын

    I still find it hard to accept, care to explain it to me?

  • @piyush2404

    @piyush2404

    3 жыл бұрын

    @@derryderry5672 Sure, you see velocity of the each particle in the rolling wheel is determined by the vector sum of the velocity of particle due to Rotation and Translatory motion. Since the velocity of the particle at the bottom end due to Rotation is tangential to the wheel towards left(in the case of moving wheel towards the right) and velocity due to Translatory is towards right. And they happen to be of same magnitude (which is only possible if wheel is moving without slipping) hence they cancel out. So the magnitude of velocity of bottom end is ZERO. But the top part is still moving, fastest of all the particles cause in top the velocity due to each case are in exact same direction, hence they add up.

  • @mechanicstutorials3791

    @mechanicstutorials3791

    Жыл бұрын

    @@derryderry5672 kzread.info/dash/bejne/X2h60JiEh6qpc5M.html

  • @sarahholland5980
    @sarahholland59804 жыл бұрын

    you explained this SO well! my professor tried to dedicate time to discussing this which is great, but kind of sent us off with the notion that the top is 2vt without any explanation. this made so much sense, thank you!!

  • @WhoWantsToKnow81
    @WhoWantsToKnow819 жыл бұрын

    They see me rollin'... they slippin'

  • @DocSchuster

    @DocSchuster

    9 жыл бұрын

    WhoWantsToKnow81 YESSSSSSSSSSSSSSSSSSS!

  • @vedantwate4105

    @vedantwate4105

    4 жыл бұрын

    And trynna catch me rolling dirty....... Trynna catch me rolling dirty My rolling so fast they hate it... ...... . . . . . . . Got u nigga

  • @victordolman2646
    @victordolman26469 жыл бұрын

    Good to see another video from you, even if it is 2012-vintage! One of the terrible things of having studied physics is that you feel horror undertones in the simplest of explanations. Right now I hear a Vincent Price-like voice saying softly: Ball, ball, what about my ball, rolling without slipping? And then much louder: "Anholonomic!" followed by his typical spine chilling laugh.

  • @bonkemzimeli6653
    @bonkemzimeli66533 жыл бұрын

    Just brushing up for a test, the enthusiasm got me excited, something I haven't had in a long time.

  • @HexagonalClosePacked
    @HexagonalClosePacked6 жыл бұрын

    Thank you. Very clear explanation. Paper, pen, ruler and a roll of tape. Simply work!

  • @OEMSyntheticscom
    @OEMSyntheticscom9 жыл бұрын

    Thank You! That was a very nice explanation!

  • @harshasingh4889
    @harshasingh48899 жыл бұрын

    Wow.. that was some telpathy.. I was studying physics few mins back and wishing u had a vedio on this topic cause I reaally love em, and I just went to look for some other vids and then u uploaded!!! thanks a bunch!!!!!!!!!!!

  • @corynneful
    @corynneful5 жыл бұрын

    7:36 "Oh purple, purple" Thank you sir for making this fun. No wonder there's a ring on that finger. 🤓

  • @rupamghosh2020
    @rupamghosh20204 жыл бұрын

    Awesome video sir..... thank you..... it's very easy to understand Physics when it happens practically infront our eye....

  • @jmafoko
    @jmafoko5 жыл бұрын

    great explanation of hard to accept fact! A kinematic way of looking at this problem is to note that the path taken by the particle on the edge of a wheel is a cycloid. now the parametric equations of a cycloid are x = r(t-sin t) , y = r(1-cos t) . by definition velocity of v = [(x')^2 + (y')^2]^0.5 , if you plug in t = 0,2pi,.. , n*2pi(the particle is at bottom when t=0,2pi,2*2pi,etc) , you get v = 0.

  • @canberkardc6704
    @canberkardc67048 жыл бұрын

    you are the number 1 thank u so much!!!!!

  • @jedikiah_c3501
    @jedikiah_c35016 жыл бұрын

    Very clear talking about rolling without slipping

  • @xunyiii4907
    @xunyiii49074 жыл бұрын

    thank you! and your voice is changing, that is really interesting

  • @aryanchauhan332
    @aryanchauhan332 Жыл бұрын

    Thank you very much sir, i am form India, and it is very difficult me to understand the rotational motional without slipping, but by your video i understand the whole concept, thank you sir.

  • @HerrObers
    @HerrObers4 жыл бұрын

    Thank you! I needed this!!

  • @amyth9004
    @amyth90044 жыл бұрын

    By far the best explanation n video

  • @yasirshd6136
    @yasirshd6136 Жыл бұрын

    Great explanation. Thank you so much❤

  • @anzatzi
    @anzatzi5 жыл бұрын

    great job...exciting!

  • @adityasinghthakur683
    @adityasinghthakur6837 жыл бұрын

    excellent explanation.love u sir.☺finally i understood what is rotation motion

  • @lope129
    @lope1299 жыл бұрын

    i don't even take physics anymore but i still love watching your videos. thanks for posting!

  • @WhoWantsToKnow81

    @WhoWantsToKnow81

    9 жыл бұрын

    That makes the two of us!

  • @Zghost276

    @Zghost276

    7 жыл бұрын

    lope129 how?

  • @umesh83013

    @umesh83013

    5 жыл бұрын

    Wow

  • @p.kalyanachakravarty7530
    @p.kalyanachakravarty75302 жыл бұрын

    Excellent explanation....

  • @salehahmedpapon7539
    @salehahmedpapon75397 ай бұрын

    Very nice explanation.

  • @pubuduweerakoon7174
    @pubuduweerakoon71743 жыл бұрын

    Good explanation ! Thanks !

  • @shizshitu5788
    @shizshitu57888 жыл бұрын

    your explanations are amazingggggggggggggg sir :D

  • @mechanicstutorials3791

    @mechanicstutorials3791

    5 жыл бұрын

    kzread.info/dash/bejne/X2h60JiEh6qpc5M.html

  • @j.k.sharma3669
    @j.k.sharma36695 жыл бұрын

    Finally I got solution of problem that why contact point has zero velocity in rolling. Thank you very much.

  • @mechanicstutorials3791

    @mechanicstutorials3791

    5 жыл бұрын

    kzread.info/dash/bejne/X2h60JiEh6qpc5M.html

  • @harebanwar1980
    @harebanwar19804 жыл бұрын

    Helped in my assignment, thanks

  • @ahmedsiddiqui1264
    @ahmedsiddiqui12643 жыл бұрын

    Thanks for the great explanation sir...

  • @anuragdaksh4659
    @anuragdaksh46594 жыл бұрын

    Awesome😍 and thank you

  • @Kiwi-co4xw
    @Kiwi-co4xw4 жыл бұрын

    AWESOME VIDEO BRO

  • @Ash-vl5ph
    @Ash-vl5ph4 жыл бұрын

    best explanation!

  • @shiinji0460
    @shiinji04605 жыл бұрын

    hi doc Schuster if i'm not very advance in physics can you give me some help? i really don't understand the concept of rolling can you explain more with some Q?

  • @giabao576
    @giabao5764 жыл бұрын

    this is good, wish I found this earlier

  • @sherifzantiba3932
    @sherifzantiba39326 жыл бұрын

    Thank you!

  • @siddharthsingh4095
    @siddharthsingh40955 жыл бұрын

    Good I'm impressed

  • @manmayakumarsahoo7330
    @manmayakumarsahoo73307 жыл бұрын

    thank u so mush sir .such a nice video ...............

  • @bishankagrawal2948
    @bishankagrawal29488 жыл бұрын

    thank you

  • @krittinath
    @krittinath3 жыл бұрын

    thank you SIR.

  • @ladlahoc
    @ladlahoc7 жыл бұрын

    awesome

  • @balusubramanyam3839
    @balusubramanyam38393 жыл бұрын

    Thanks a lot Sir....

  • @kodykuo7637
    @kodykuo76379 жыл бұрын

    Hi, Doc Schuster. I have a question about rolling with or without slipping in terms of friction. I did some problems and I realized when some object rolling without slipping, friction doesnt do work, but how about kinetic friction? Another problem is that if there's an external force acting on the object, but it is rolling without slipping, why does the work = external force times the distance travel. Shouldn't the friction force also do work to prevent the object from slipping? Thanks!!

  • @bunty4763

    @bunty4763

    Жыл бұрын

    Yes u are right the friction will do some work to prevent it from slipping and after sometimes it will attain a pure rolling motion ( rolling without slipping) but it will take some time .

  • @selfxironCodes

    @selfxironCodes

    9 ай бұрын

    friction doesn't do any work in rolling because bottom point is always at rest (W = FxD = 0) for your 2nd question same answer

  • @maxdoubt5219
    @maxdoubt52194 жыл бұрын

    I'm trying to ferret whether any point on a rolling wheel can be said to be moving backward with respect to the track, if only for a fraction of the rotation.

  • @davidaronson7348
    @davidaronson73484 жыл бұрын

    So essentially slipping occurs when friction causes the velocity at the bottom to not be Vt?

  • @umesh83013
    @umesh830135 жыл бұрын

    Did you draw the whole concept of transational plus rotational =pure rolling? Or is it from a book

  • @emelumkevin9956
    @emelumkevin99564 жыл бұрын

    Please i need the video on how to solve this; A body of mass 20kg with reduce of 0.5m has both linear and angular velocity of 4m/s and 5rev/min, find its total kinetic energy

  • @TheKinFly
    @TheKinFly6 жыл бұрын

    Still a very good explanation

  • @abhishekkhandare1664
    @abhishekkhandare16648 жыл бұрын

    if the object is performing linear motion than the center of mass is at the base

  • @animeshpuzari8235
    @animeshpuzari82356 жыл бұрын

    well thank you very much ...this really helped me 😋😋

  • @anoirtrabelsi8645
    @anoirtrabelsi86459 жыл бұрын

    Please can you make a video in which you explain the Cavendish experiment and how he calculated the universal gravitational attraction constant G ?

  • @DocSchuster

    @DocSchuster

    9 жыл бұрын

    anoir trabelsi THAT is a great idea.

  • @xOxAdnanxOx

    @xOxAdnanxOx

    5 жыл бұрын

    Did you sir make it already?

  • @charlesbaoumar6087
    @charlesbaoumar6087 Жыл бұрын

    the bottom being at rest for a rigid circular body seems like the biggest contradiction in history of physics lol

  • @avjoshi4175
    @avjoshi41758 жыл бұрын

    superlike

  • @anujbalodi2552
    @anujbalodi25528 жыл бұрын

    sir i cant picture how the point of contact is at rest.I mean you started from the zero mark and went on till some distance on the ruler.So the point has covered some distance in some time then how can it be at rest. :-(

  • @imposter2184

    @imposter2184

    8 жыл бұрын

    instantaneously it is. as position is changing every moment

  • @crazycrumbcake

    @crazycrumbcake

    8 жыл бұрын

    +anuj balodi Try looking at it as a simple motion equation (as he drawn it on the video). The velocity at the bottom of circle (or in real-world application, where the circle is in contact with the ground), is pointing toward the left for rotation, but pointing toward the right for translation.

  • @ptyptypty3

    @ptyptypty3

    7 жыл бұрын

    one way to visualize how and why the Point of Contact has a Velocity of ZERO is to imagine a BULLDOZER... that's right... a BULLDOZER... you've seen a bulldozer with it's metal TRACKS. Notice how the Front and Back Wheels ride inside the Metal Track. Have you ever noticed how the Track that is on the Ground is NOT moving?.. but the Top Track is moving Foward?.. Now imagine the front and back wheels move toward each other and the track shortens. At some point the front and back wheel OVERLAP.. and the point on the bottom is at Zero Velocity.... good luck...

  • @MsKakashi2012

    @MsKakashi2012

    6 жыл бұрын

    Philip Y thank u sir

  • @joshuaronisjr

    @joshuaronisjr

    6 жыл бұрын

    This should be a top comment

  • @susdoge3767
    @susdoge37673 жыл бұрын

    I can't understand when we say the point of contact has 0 velocity ,if it's having 0 velocity....why it's moving (why it's position is changing on the x-axis)?

  • @MsSARAHstyles
    @MsSARAHstyles8 жыл бұрын

    Okay I love the video! Yet I get stuck I can't wrap my mind around the fact of how the top is 2Vt yet we are brought up in my physics class V=rw(romega) so when you ended the video with out clarifying on how the equation works with the 2Vt instead of just Vt i was left uneasy and confused. Can you break this down for me?

  • @DocSchuster

    @DocSchuster

    8 жыл бұрын

    +sarah phillips That v from your class is the speed of the outside if the axle is still. Correspondingly, it will be the speed of the axle if the bottom is still, right?

  • @MsSARAHstyles

    @MsSARAHstyles

    8 жыл бұрын

    +Doc Schuster okay I think I figured it out I talked about it with one of my fellow students in my class after presenting him with the video as well, he then said that the velocity would be relative to the ground looking in on the system from two different perspectives. therefore he first perspective being in the system yourself; for example sitting inside a rolling tire. the second perspective being a person observing you rolling in the tire and the tangential velocity would seem different to each observer. Can you further conclude on these statement telling whether or not I'm over thinking things?

  • @DocSchuster

    @DocSchuster

    8 жыл бұрын

    +sarah phillips Sounds fine. in the tire, you think tangential v is r*omega. Outside, you see that v_t is zero at the bottom, r*omega on the sides, and 2*r*omega at the top.

  • @MsSARAHstyles

    @MsSARAHstyles

    8 жыл бұрын

    +Doc Schuster so is that is why it's 2r*omega because in the specific example you are looking in on the system?

  • @Alfin_Firdaus_

    @Alfin_Firdaus_

    7 жыл бұрын

    You have understand it. Vaxle = Radius Omega = Tangenial Veolcity

  • @maithili6143
    @maithili61435 жыл бұрын

    Can anyone tell me in which grade are they learning this

  • @prem7556
    @prem75565 жыл бұрын

    What about friction effects is it present or not

  • @sherincherian3329
    @sherincherian33298 жыл бұрын

    How about a video on gyroscopic precession?

  • @DocSchuster

    @DocSchuster

    8 жыл бұрын

    +Sherin Cherian A great idea! Thanks.

  • @darthnihiluz5305
    @darthnihiluz53059 жыл бұрын

    I'm a little upset that I was guided to take college physics using simple formula style vs traditional calculus based style. Since I was not an engineering major it was recommended as being easiest for my science requirement. Problem is calculus style learning is better in understand core principals vs just calculating some convoluted simple problem.

  • @DocSchuster

    @DocSchuster

    9 жыл бұрын

    Darth Nihiluz YES! How can we get this word out? Calculus makes things SIMPLER, not worse!

  • @yumasiancooking
    @yumasiancooking9 жыл бұрын

    Question: is friction involved? is friction necessary?

  • @DocSchuster

    @DocSchuster

    9 жыл бұрын

    yumasiancooking ..Unless you're really lucky, static friction at the bottom is needed to maintain rolling w/o slipping.

  • @pio860
    @pio8603 жыл бұрын

    Thx

  • @prateekgurjar1651
    @prateekgurjar16518 жыл бұрын

    When the mark is at bottom the mark IS ITSELF THE BOTTOM ....bbbUTT.. when the mark moves up...thr mark id no longer the bottom..then dome othet part of that wheel is the bottom...The bottom is the part touching the ground..dont confuse it with mark

  • @lexwhite452
    @lexwhite4529 жыл бұрын

    Heey Doc could you make a video on gyroscopes mechanics

  • @fruckstuck
    @fruckstuck8 жыл бұрын

    why the bottom is at rest? the mark is moving?

  • @crazycrumbcake

    @crazycrumbcake

    8 жыл бұрын

    +Eat Shiit (tenacious pessimist) Try looking at it as a simple motion equation (as he drawn it on the video). The velocity at the bottom of circle (or in real-world application, where the circle is in contact with the ground), is pointing toward the left for rotation, but pointing toward the right for translation. Assuming that both velocities are equal --> v(translation) - v(rotation) = 0. That is why the bottom of the circle is considered at rest. Just remember that this is only true for pure rolling without slippage.

  • @niranjanchakrabhavi8601

    @niranjanchakrabhavi8601

    8 жыл бұрын

    +Refuse to Eat Shiit (tenacious pessimist) The bottom of the body is "instantaneously" at rest. It doesn't mean that some point on the wheel is stuck to the platform all the time.

  • @Alfin_Firdaus_

    @Alfin_Firdaus_

    7 жыл бұрын

    Rest doesn't meant Stuck at That Time.

  • @kontarkosz
    @kontarkosz8 жыл бұрын

    Sorry, but i died when you draw the right side of a smiling circle at 03:35 hahaha..

  • @christopherdonaghue2461

    @christopherdonaghue2461

    6 жыл бұрын

    and a Pac-Man

  • @kiratarora1627

    @kiratarora1627

    5 жыл бұрын

    Once you see it, you can't unsee it......

  • @achi965
    @achi9658 жыл бұрын

    YOU SOUND LIKE NEIL PATRICK HARRIS AND I WISH YOU TAUGHT ME PHYSICS IN SCHOOL. GSGAFDGHFHAHÓ

  • @axalate4572

    @axalate4572

    6 жыл бұрын

    i realized that too at 7:00

  • @zelda8697
    @zelda86972 жыл бұрын

    on the physics book, it says the Vcm = rw ,,,, HOW CRAZY IS THT....CANT UNDERSTAND

  • @tommychan7170
    @tommychan71709 жыл бұрын

    woooooo

  • @abhishektiwari8008
    @abhishektiwari80084 жыл бұрын

    Good job bro keep it up but you must watch the video of (PHYSICS WALA) who is the king of physics in India

  • @mousaalsaeed9410
    @mousaalsaeed94107 жыл бұрын

    is the friction of rolling maximum static friction ? and why it is static friction why the velocity of contact surface is equal zero? I really want to know why.

  • @DocSchuster

    @DocSchuster

    7 жыл бұрын

    Great question! It need not be the maximum static friction. In fact, in equilibrium on a flat surface, objects continue to roll without slipping without any frictional force! As to your second question, you must get a bike tire and roll it around while thinking about it for a while to convince yourself.

  • @mousaalsaeed9410

    @mousaalsaeed9410

    7 жыл бұрын

    Doc Schuster that mean if the question give me the coefficient of static friction can i say friction=coefficient of static friction × normal force. with out find the acceleration of center of mass. also if the surface is smooth is that make different or change the acceleration of center of mass please answer me because I feel tired and my mind reproaches me

  • @prateekgurjar1651
    @prateekgurjar16518 жыл бұрын

    You just gotta imagine it...no one can explain it to you...but still i will give a hint...think of the bottom's velocity at a particular instant....like if you take a picture of ussain bolt running and then look at the photo and say at THIS INSTANT his speed was v...take a picture of the wheel and analyse it..you will find that the bottom was at rest the upper part was moving 2v and the center was at v...and at each instant of whole process bottom was always at rest

  • @rijahkhan3285

    @rijahkhan3285

    6 жыл бұрын

    Amana Prateek how bottom is at rest plz explain

  • @hamdhanhamdhan587
    @hamdhanhamdhan5875 жыл бұрын

    how to equal V=Vt

  • @umesh83013

    @umesh83013

    5 жыл бұрын

    Its not vt ...its v subscript t ... its v tangential ..like the velocity a ting along tangent ..seems like u have not studied circular motion

  • @rijahkhan3285
    @rijahkhan32856 жыл бұрын

    How bottom is at rest plz tell me

  • @yeshwanthsai4386

    @yeshwanthsai4386

    6 жыл бұрын

    The contact point is at rest at that instant.

  • @mechanicstutorials3791

    @mechanicstutorials3791

    5 жыл бұрын

    this is what you need kzread.info/dash/bejne/X2h60JiEh6qpc5M.html

  • @AnimeRevengers
    @AnimeRevengers4 жыл бұрын

    Anyone from 🇮🇳India

  • @ptyptypty3
    @ptyptypty35 жыл бұрын

    Hey DOC.. Great VIDEO!! as usual!! one way to visualize that the BOTTOM of a Tire has a velocity of ZERO.. is to Picture a BULLDOZER... that's right.. a BULLDOZER... you know how a BULLDOZER has those METAL TRACKS?... with a Wheel at the back and a wheel at the front?.. Yeah... Notice that when a Bulldozer is Moving along.. the BOTTOM of the metal track is AT REST!!!.. but the TOP track is moving at TWICE the velocity of the Bulldozer... that way it catches up... Can you Visualize that...????.. sure you can!... Thanks for the Inspiration... Yo, PEACE!! :)

  • @levijaeger1075
    @levijaeger10758 ай бұрын

    Monty hall problem but make it physics

  • @felixwang2539
    @felixwang25393 жыл бұрын

    Hi

  • @ZaidKhan-kv8ok
    @ZaidKhan-kv8ok5 жыл бұрын

    In the proof, you are actually assuming what u have to prove. You assumed that the tape took T time to complete one rotation (which in other words you have to prove)

  • @Sleepy-jz7en
    @Sleepy-jz7en6 жыл бұрын

    Goodbye

  • @Oblivlawls
    @Oblivlawls9 жыл бұрын

    Why am I watching this?

  • @DocSchuster

    @DocSchuster

    9 жыл бұрын

    Brandon Cope HA! Good to hear from you.

  • @Oblivlawls

    @Oblivlawls

    9 жыл бұрын

    Doc Schuster You too. College life is weird. lol

  • @johnwick6066
    @johnwick60666 жыл бұрын

    best explanation on yt😍

  • @adityasinghthakur683
    @adityasinghthakur6837 жыл бұрын

    excellent explanation.love u sir.☺finally i understood what is rotation motion