Ladder Example for Static Equilibrium

Ғылым және технология

Explains moment arm and torque for a ladder against a wall with friction on the ground.

Пікірлер: 101

  • @cstephenmurray
    @cstephenmurray9 жыл бұрын

    OK - here's a link to a document that explains the moment arm for the wall's normal force: www.cstephenmurray.com/Acrobatfiles/aphysics/NotesAndExamples/Rotational/LadderProblemMomentArm.pdf It should make it more clear.

  • @taylorduff6057
    @taylorduff60577 жыл бұрын

    I CRIED TWICE ON MY PHYSICS HOMEWORK AND YOUR VIDEO SAVED MY LIFE

  • @antaralamin8964

    @antaralamin8964

    6 жыл бұрын

    I've been crying since the semester started :,(

  • @morganmarshall3605

    @morganmarshall3605

    5 жыл бұрын

    you are not alone!!

  • @honestvalley9
    @honestvalley9 Жыл бұрын

    Thank you. You’ve given my problem-solving-work-sheet marvelous definition.

  • @timm8610
    @timm86106 жыл бұрын

    I was struggling for hours trying to understand until I watched this video. Thanks a bunch! Add in the distance traveled on the ladder until the ladder starts to slip and this will be gold.

  • @jameshiggins2448
    @jameshiggins24484 жыл бұрын

    Thank you so much. Statics suddenly makes so much more sense.

  • @Dribbles88
    @Dribbles889 жыл бұрын

    Thank you so much, I'm about to go into an exam and this was a great recap for me from start to finish!! You just strengthen my foundation. :D

  • @cstephenmurray
    @cstephenmurray8 жыл бұрын

    The wall is frictionless. Otherwise it is more difficult. The problem as stated is difficult enough for students as is.

  • @Iamhappy828
    @Iamhappy82810 жыл бұрын

    Thanks! you made this problem actually make sense to me.

  • @akauth7
    @akauth79 жыл бұрын

    Great video. Very clear and helpful.

  • @njabulongwenya4095
    @njabulongwenya409510 жыл бұрын

    thanks it has improve my thinking ability

  • @StoesA
    @StoesA10 жыл бұрын

    Hello Stephen, Why isn"t there a frictional force (Ffy) preventing the ladder from going down? There is a frictional force,Ff, preventing the ladder from collapsing. Or can the problem be seen as, Ffy and Ff do the same (prevent the ladder from collapsing) and thereby one can be chosen. Would solvingthe problem with Ffy instead of Ff result in the same values? Kind regars

  • @MrBomb72
    @MrBomb728 жыл бұрын

    Thank you for this!!!

  • @khaleelal-ashhab2871
    @khaleelal-ashhab28712 ай бұрын

    Thank you, this was really helpful.

  • @claramelb7476
    @claramelb74765 жыл бұрын

    Thank you! It actually makes sense

  • @BaliMystic
    @BaliMystic8 жыл бұрын

    Great job! I dunno if you mentioned it but I believe you took for granted the force of friction of the wall was negligible

  • @kairoshen3160
    @kairoshen31609 жыл бұрын

    Can you do a video on a ladder with smooth wall and ground?

  • @jamirwesley3297
    @jamirwesley32972 жыл бұрын

    Thank you from Gettysburg Pa

  • @INTEGRALPHYSICS
    @INTEGRALPHYSICS3 жыл бұрын

    Serious kudos for doing this in PAINT.

  • @heinrichnathanielmarlaw417
    @heinrichnathanielmarlaw4175 жыл бұрын

    Very helpful video. Keep Going!

  • @BetterThanYou96
    @BetterThanYou967 жыл бұрын

    Now, for the same problem (exclude slim Jim), how would I find the magnitude and direction of the force exerted at the bottom of the ladder. Hell, can someone explain to me what tht even means?

  • @cstephenmurray
    @cstephenmurray10 жыл бұрын

    To: IIproductionsII Yeah, when I just rewatched the video I noticed that I could have just used 4m (from the diagram) instead of doing the trig. I was thinking of other things. Either way, this is the part of the process that most of my students struggle with. I think it is important to understand how the moment arm = 4m, then the actual number.

  • @dudley5424

    @dudley5424

    9 жыл бұрын

    Indeed. My professor didn't teach us the moment arm method, and I have a feeling that if a ladder problem is on my exam today, the distance between the ground and the point where the ladder meets the wall won't be given. Thank you so much for this video. Best I've watched all semester. Wish I found these sooner.

  • @mathematicianjeff8358
    @mathematicianjeff83586 жыл бұрын

    Really good video. Thumbs up

  • @tiraul07
    @tiraul077 жыл бұрын

    Why is r perpendicular for slim jim and the ladder horizontal and for the point at the wall vertical????

  • @sgtchuckle117
    @sgtchuckle1177 жыл бұрын

    Great video, man. Very useful for finals. However, I learned Torque=rFsin(theta), which made this a bit harder to follow, although the problem solving steps were still helpful.

  • @scratch12367
    @scratch123678 жыл бұрын

    Thanks you helped me out

  • @matrixate
    @matrixate9 жыл бұрын

    Ah yes. The moment arm...that which is most resisted by students. Great video.

  • @ezerium8808
    @ezerium88089 жыл бұрын

    what if the ladder is weightless ? should i consider it as 0N ?

  • @ruthferez4521
    @ruthferez45213 жыл бұрын

    excellent explanation thanks

  • @antaralamin8964
    @antaralamin89646 жыл бұрын

    Hello, at around 7:20 did you add 2.5 and 3.5 to get 5 meters? please explain because now I'm confused as to if it's wrong or if I missed an important step. Thanks for the helpful video!

  • @cstephenmurray

    @cstephenmurray

    6 жыл бұрын

    3.5 m is the distance to Slim Jim from the ground (I just chose that at 1:41). The center of mass of the ladder is at the center of the ladder which is 2.5m.

  • @21lukeparker
    @21lukeparker9 жыл бұрын

    why, at 9.00 did you use cos then cos and then swap to sin? arent you finding out the horizontal components? wont sin find the vertical force component?

  • @cstephenmurray

    @cstephenmurray

    9 жыл бұрын

    Luke Parker Because of something called the "moment arm". Torque is defined as a force acting perpendicular to a lever. When the force is NOT perpendicular to the lever you have two choices: 1) you can resolve the force into its components perpendicular and parallel to the lever or 2) you can find the perpendicular lever, known as the moment arm. Which is better? Not the correct question. Instead: which is easier (physics answer). In the ladder case, way 2 is much easier. How do you find the moment arm? Draw the force infinitely long and then find the distance that is perpendicular to that force. In the video the thick line drawn from the point where the ladder touches the ground is the moment arm. I just so happens that it is the same distance as from the ground to where the wall touches the ladder, which is 5sin v\:* {behavior:url(#default#VML);} o\:* {behavior:url(#default#VML);} b\:* {behavior:url(#default#VML);} .shape {behavior:url(#default#VML);} v\:* {behavior:url(#default#VML);} o\:* {behavior:url(#default#VML);} b\:* {behavior:url(#default#VML);} .shape {behavior:url(#default#VML);} θ. Below you can see the interior angles. It should be clear, now. 281 7772400 10058400 259 261 257 276 262 279 1 0`````````````````````` 5 1 0 285 282 1 False 0 0 0 0 -1 304800 243 True 128 77 255 3175 3175 70 True True True True True 278 134217728 1 1 -9999996.000000 -9999996.000000 8 Empty 16711680 52479 26367 13421772 16737792 13382502 16777215 Bluebird 22860000 22860000 (`@````````` 266 263 5 110185200 110185200

  • @reddy.chenny_123
    @reddy.chenny_1235 жыл бұрын

    dude ur a legend.

  • @vintageironmotorcycles
    @vintageironmotorcycles10 жыл бұрын

    Thank you!!

  • @marvinlee7657
    @marvinlee76576 ай бұрын

    I have a problem, why the wall does not have a vertical upward reaction force (vertical upward friction) in this case? Thank you.

  • @cstephenmurray

    @cstephenmurray

    6 ай бұрын

    The wall is frictionless, so there’s no “reaction force” possible there, if you are talking about Newton’s 3rd Law pairs. At the wall the 3rs Law force pair would be “the ladder pushing on the wall” and “the wall pushing back on the ladder”. These are normal forces which are always perpendicular to the surface.

  • @amarsoni3578
    @amarsoni35785 жыл бұрын

    Thank you so much

  • @MrCkntobias
    @MrCkntobias6 жыл бұрын

    Wow, please be my Physics teacher, my current prof is terrible. I literally understood everything here xD

  • @anteater2536
    @anteater25369 жыл бұрын

    thank you sir.

  • @XxNinjaLimeXX
    @XxNinjaLimeXX10 жыл бұрын

    Thanks a lot.

  • @jdvaldez55
    @jdvaldez5510 жыл бұрын

    Thank you

  • @farafeu2670
    @farafeu26707 жыл бұрын

    I really appreciate the video, but it'd be more helpful if you state right away what are we looking for (ie, the question)

  • @seer9293
    @seer92937 жыл бұрын

    shouldn't it be 720/361 in the last?

  • @yamalmansour5021
    @yamalmansour50217 жыл бұрын

    can you please explain why did we get 4 m in the beginning the length of the rectangul ?

  • @MattWoodYT

    @MattWoodYT

    7 жыл бұрын

    Yam Almansour using Pythagoras we know that when the hyp is 5 and one of the other lengths is 3 or 4 then the missing length will be the missing number in this sequence (3,4,5) hence the name 3 4 5 triangle hope this helps

  • @shantaramchavan506

    @shantaramchavan506

    6 жыл бұрын

    Yam Almansour Pyrthagoras theorem

  • @FauzanJamain97
    @FauzanJamain978 жыл бұрын

    sir why do you use cos instead of sin.. because from what i learn, we need to use sin because the angle need to be 90 degree...

  • @draganandrei5356

    @draganandrei5356

    4 жыл бұрын

    You just mathn't..

  • @scratch12367
    @scratch123678 жыл бұрын

    at the very end i think you divided by 4 instead of 5 am i right?

  • @seer9293
    @seer92937 жыл бұрын

    btw, Nice video.Thanks!

  • @THUNGUNS
    @THUNGUNS8 жыл бұрын

    Nice tutorial. I wish you were my physics teacher. xD

  • @indrejithjayaprakash9724
    @indrejithjayaprakash97249 жыл бұрын

    Thanks a lot :)

  • @anfarahat
    @anfarahat8 жыл бұрын

    Why there is no upward friction force at the point of contact of the ladder with the wall?

  • @scratch12367

    @scratch12367

    8 жыл бұрын

    +anfarahat why would there be? the surface it is in contact with is flat.

  • @anfarahat

    @anfarahat

    8 жыл бұрын

    +scratch12367 That's a closer model to reality. Friction exists both on the wall and on the floor. I do not see the relation between a surface being flat and frictionless. Can't we have a wall that is flat and rough at the same time?

  • @cstephenmurray
    @cstephenmurray9 жыл бұрын

    OK - sorry everyone. I tried to add a picture that clearly explains the moment arm, but it ended up a bunch of computer code. I will figure that out, add it to the video OR make a new video to explain it.

  • @saadamiens

    @saadamiens

    8 жыл бұрын

    +cstephenmurray hello i am not sure if you mentioned if there is a friction betwen the ladder and the wall or not, because it was not taken into account in the equations I think

  • @Deathgravity49
    @Deathgravity492 жыл бұрын

    Thank you sir 🤙🤙🤙💞💞

  • @Mount_Currie
    @Mount_Currie10 жыл бұрын

    Why is the Fwall 5sin53? Shouldn't it be 4sin53? Because the height is 4

  • @Dribbles88

    @Dribbles88

    9 жыл бұрын

    Sin(theta) = opp/hyp to solve for oppsite it becomes: hyp * sin(theta). And that's what he did. I know it's been 9 months ago but eh.. lol

  • @johndoe-el6ko

    @johndoe-el6ko

    9 жыл бұрын

    because 5 is the hyp. 5sin53 is the distance perpendicular to the force.

  • @yamrajoli3834
    @yamrajoli38345 жыл бұрын

    at 9;06 why u multiplied by 5 instead of 4

  • @ishikasingla9522
    @ishikasingla95226 жыл бұрын

    Sir what will be the situation if floor and wall...both are frictionless??

  • @ishikasingla9522

    @ishikasingla9522

    6 жыл бұрын

    In this case what will be the normal reaction applied by floor on ladder?

  • @charlesheilweil8729

    @charlesheilweil8729

    6 жыл бұрын

    Well, considering F(friction) = F(normal) * u(coefficient of friction), you can have all of the normal force in the ENTIRE UNIVERSE and it wouldn’t matter, the ladder will just fall “Normally.”

  • @timm8610

    @timm8610

    6 жыл бұрын

    Ladder would fall

  • @abenagyampo4845
    @abenagyampo4845 Жыл бұрын

    I'm struggling to understand why there is no normla force of the ladder on the person, or if there is why it's not included in the free body and any of the calculations?

  • @cstephenmurray

    @cstephenmurray

    Жыл бұрын

    Another omission by me, sorry. I SHOULD have started by defining my system. In this case I used the combined system of Slim Jim and the ladder. As a result the normal forces between them are internal forces and can be ignored. If our system was defined as just the ladder, then Slim Jim does apply a normal force to the ladder. Since Slim Jim is also at static equilibrium, so mg = Fn for Jim, then, by Newton's 3rd Law, Fn of Jim on the Ladder also equals mg of Jim. Hope that helps.

  • @abenagyampo4845

    @abenagyampo4845

    Жыл бұрын

    @@cstephenmurray Thank you!

  • @kakakaka-im1pz
    @kakakaka-im1pz3 ай бұрын

    Hello، I have a few questions you can ask me

  • @TrailBlazer65
    @TrailBlazer659 жыл бұрын

    Why did I not find this earlier than the night before my test!?

  • @armankhamiszadeh

    @armankhamiszadeh

    9 жыл бұрын

    TrailBlazer65, maybe you didn't search? LOL I have my test in 3 hours and i'm not feeling comfortable with this. :D

  • @tirthadas5767
    @tirthadas57676 жыл бұрын

    What if the wall is not frictionless??

  • @timm8610

    @timm8610

    6 жыл бұрын

    I don't think it would have any effect on the system unless the floor is frictionless

  • @FlaminKokeVCX
    @FlaminKokeVCX5 жыл бұрын

    Why does the ladder not exert a normal force on the person?

  • @cstephenmurray

    @cstephenmurray

    5 жыл бұрын

    It does (3rd Law), but we are analyzing the ladder not the Person/ladder system

  • @azwindinikhathutshelo3191
    @azwindinikhathutshelo31917 жыл бұрын

    Really useful :-}

  • @dawitawash3285
    @dawitawash32859 жыл бұрын

    tanks

  • @umarfaruq1637
    @umarfaruq16376 жыл бұрын

    slim jim is travelled around the world...

  • @timm8610

    @timm8610

    6 жыл бұрын

    Yes, the man is a legend

  • @timothykalio157
    @timothykalio1576 жыл бұрын

    nice and thick

  • @jazzm5557
    @jazzm55577 жыл бұрын

    Perfecto... this is how my studying works for university physics 1 exams, lol

  • @tiborkote
    @tiborkote4 ай бұрын

    In a 3-4-5 triangle its 30-60-90 degree....

  • @psilvakimo
    @psilvakimo4 жыл бұрын

    No free-body diagram and associated coordinate system. The presentations are haphazard without them.

  • @mexicobasado8177
    @mexicobasado81772 жыл бұрын

    10:45 he talks about coefficient of friction

  • @Mount_Currie
    @Mount_Currie10 жыл бұрын

    nevermind, I figured it out...

  • @zarinh9240
    @zarinh92406 жыл бұрын

    G

  • @jackearhart4265
    @jackearhart42655 жыл бұрын

    slim jim

  • @chrisbernardmadriaga5740
    @chrisbernardmadriaga57406 жыл бұрын

    THIS IS A MESS. THE SUMMATION OF MOMENTS PERPENDICULAR DISTANCE MUST BE RESPECTED TO HORIZONTAL AXIS

  • @ayushanand5221
    @ayushanand52214 жыл бұрын

    Torque not "twerk" lmao

  • @BaljeetSingh-hr5pv
    @BaljeetSingh-hr5pv8 жыл бұрын

    the frictional force should be acting upwards...totally wrong!!

  • @scratch12367

    @scratch12367

    8 жыл бұрын

    +Baljeet Singh The frictional force is 100% horizontal. It is counter-acting the force the ladder is exerting horizontally on the wall

  • @Capumaraca

    @Capumaraca

    7 жыл бұрын

    wtf?

  • @rashadarbab2769
    @rashadarbab27693 жыл бұрын

    12kg = 120N learn something new everyday.

  • @Lucky-fc7ld
    @Lucky-fc7ld4 жыл бұрын

    hahahahaha thoooo.....

  • @cstephenmurray
    @cstephenmurray8 жыл бұрын

    The wall is frictionless. Otherwise it is more difficult. The problem as stated is difficult enough for students as is.

  • @rashadarbab2769

    @rashadarbab2769

    3 жыл бұрын

    cstephenmurray lol not at my school