Series & Parallel Spring Combinations | Equivalent Spring Constant Using Hooke's Law | Physics

I am not sponsored by Sharpie or Fineliner pens... yet.
Whenever springs are combined, either in series or parallel, they work together to form an equivalent spring. This 'equivalent spring' is a spring that could replace the combination of two (or more) springs and behave exactly like the original combination of springs.
In this video find out how to calculate the effective spring constant of springs when they are combined either in series or parallel.
Its been a while since I banged out a reasonable drawing of something. I think this qualifies.
The subject of spring combinations comes up in introductory physics courses such as AP Physics 1 AP Physics C mechanics and even engineering courses such as PLTW POE

Пікірлер: 58

  • @izyanali1635
    @izyanali1635 Жыл бұрын

    he put a lot of effort into the drawing of the spring for a physics problems...RESPECT 🔥

  • @INTEGRALPHYSICS

    @INTEGRALPHYSICS

    Жыл бұрын

    It was fun. Thanks

  • @selwild2050
    @selwild205027 күн бұрын

    Remarquable de clarté, merci!

  • @4evrjustintime
    @4evrjustintime Жыл бұрын

    Thank you so much for this video. Awesome penmanship and sketching by the way.

  • @INTEGRALPHYSICS

    @INTEGRALPHYSICS

    Жыл бұрын

    Glad it was helpful!

  • @cupostuff9929
    @cupostuff992926 күн бұрын

    This made the equation for springs in series seem so obvious I feel like I could've gotten it myself

  • @bahaaadel7095
    @bahaaadel7095 Жыл бұрын

    Great vid. Love the drawings btw.

  • @water_souls5378
    @water_souls537827 күн бұрын

    interesting that it is the same as the inductor combinations

  • @Sumit_KumarDey
    @Sumit_KumarDey4 ай бұрын

    Just excellent!

  • @Kingland2
    @Kingland224 күн бұрын

    Thank you sir i understand it now

  • @sadeqjamal1577
    @sadeqjamal15772 жыл бұрын

    Awesome Video. Love it!

  • @INTEGRALPHYSICS

    @INTEGRALPHYSICS

    2 жыл бұрын

    Thanks!

  • @its703
    @its703 Жыл бұрын

    I love this lecture ❣️❣️❣️

  • @sadmanislam1106
    @sadmanislam11063 ай бұрын

    Thanks man🔥

  • @Its_JP_007
    @Its_JP_0077 ай бұрын

    Damn.. Bro it was genuinely helpful.. THANK YOU

  • @INTEGRALPHYSICS

    @INTEGRALPHYSICS

    7 ай бұрын

    Happy to help.

  • @leonrommens9342
    @leonrommens9342 Жыл бұрын

    big love ❤

  • @adibzahirrudin
    @adibzahirrudin7 ай бұрын

    Thanks, like the way you explain.

  • @INTEGRALPHYSICS

    @INTEGRALPHYSICS

    7 ай бұрын

    You are welcome!

  • @AlAoTachOP
    @AlAoTachOP8 ай бұрын

    When you wanted to be an artist but you became physics teacher because of family pressure btw love the explanation

  • @INTEGRALPHYSICS

    @INTEGRALPHYSICS

    8 ай бұрын

    Thanks, but I assure you; nobody in my family thought becoming a teacher was a good idea.

  • @TheStarDreamer
    @TheStarDreamer2 жыл бұрын

    I subscribed, Great Video, Keep it up 👌

  • @INTEGRALPHYSICS

    @INTEGRALPHYSICS

    2 жыл бұрын

    Thanks, will do!

  • @NkoblaZili
    @NkoblaZili Жыл бұрын

    You are saving lives

  • @INTEGRALPHYSICS

    @INTEGRALPHYSICS

    Жыл бұрын

    I'm gonna make that into a T-Shirt

  • @anvi_deshpande
    @anvi_deshpande7 ай бұрын

    thank you so much... god bless you

  • @INTEGRALPHYSICS

    @INTEGRALPHYSICS

    7 ай бұрын

    You're most welcome

  • @vatanrangani8033
    @vatanrangani8033 Жыл бұрын

    Effort for diagrams is unreal

  • @faridayeasmin3154
    @faridayeasmin31545 ай бұрын

    It was great thank you.

  • @INTEGRALPHYSICS

    @INTEGRALPHYSICS

    5 ай бұрын

    Glad you enjoyed it!

  • @Pentaguin
    @Pentaguin Жыл бұрын

    Thanks

  • @INTEGRALPHYSICS

    @INTEGRALPHYSICS

    Жыл бұрын

    My pleasure... That drawing was fun to do.

  • @desktoprevapmer
    @desktoprevapmer4 ай бұрын

    helpful to me

  • @INTEGRALPHYSICS

    @INTEGRALPHYSICS

    4 ай бұрын

    Glad to hear that

  • @shaileshkrishna7658
    @shaileshkrishna7658 Жыл бұрын

    Why would be deflection in both springs is same in parallel???why can't one side deflect more compared to other side and make it inclined with respect to horizontal??

  • @INTEGRALPHYSICS

    @INTEGRALPHYSICS

    Жыл бұрын

    The assumption here is that the displacement of the springs is the same (ie. the plate remains parallel). Once we get into differing displacements of springs and preloaded springs the equations no longer hold true. At that point all you can say is the total force by springs in parallel is the sum of the two forces.

  • @cloud_222

    @cloud_222

    Жыл бұрын

    @@INTEGRALPHYSICS How can we assume that the plate remains parallel to the horizontal if we're saying that the 2 springs have different spring constants? If one of them is stiffer than the other, the weight of the load would pull it down less than the other spring and the plate would become slanted, no?

  • @INTEGRALPHYSICS

    @INTEGRALPHYSICS

    Жыл бұрын

    True. However without the physical dimensions of the block, height and width, spring locations and spring lengths we must constrain the block to move only in the vertical axis. In short, the solution for springs in parallel is dependent on the displacement of the springs being the same for both springs.

  • @vatanrangani8033

    @vatanrangani8033

    Жыл бұрын

    I had exactly this doubt in mind

  • @AwestrikeFearofGods

    @AwestrikeFearofGods

    9 ай бұрын

    Very observant. We use these models to understand the approximate behavior of spring combinations, but they require countless assumptions. This is a simplified model of springs in parallel, where it is assumed that rotation is zero, as though there was a hidden frictionless prismatic joint, to constrain rotation. In a model lacking such a prismatic joint, the system could be static only when the torques generated by the weight and the springs sum to zero. Let's assume a centrally located mass and two springs of equal free length, but different spring rates. To balance the torques, the springs would stretch unequally. The resulting rotation of the mass' body results in the springs rotating and bending, assuming their ends are fixed. If instead their ends are free to rotate, the springs won't bend, but will still rotate some angle from the vertical. Either way, this greatly complicates the calculations, and merely applying Hooke's law would produce significant error, for large angles of rotation. As you might imagine, the angle of rotation would be large when one of the spring constants is very small, and the ratio between the constants is very large. For such nonlinear or complex systems, engineers would employ sufficiently sophisticated models (e.g. FEA) for a greater degree of accuracy.

  • @shashwatraj8971
    @shashwatraj89716 ай бұрын

    Great explanation and sketching dude. Really appreacite it

  • @INTEGRALPHYSICS

    @INTEGRALPHYSICS

    6 ай бұрын

    glad you like it.

  • @nafisahassan577
    @nafisahassan577 Жыл бұрын

    thanks you helped a lot😊😊😊😊😊😊😊😊😊😊😔

  • @INTEGRALPHYSICS

    @INTEGRALPHYSICS

    Жыл бұрын

    No problem 😊

  • @bibliophilesayan320
    @bibliophilesayan3202 жыл бұрын

    Sir can you please tell me that why the force acting on the two different springs in parallel combination is different and that for series combination is equal?? Plz

  • @INTEGRALPHYSICS

    @INTEGRALPHYSICS

    2 жыл бұрын

    In parallel the two springs SHARE the load. The distance they stretch is the same but if one is stiffer than the other it will carry more load. In series, the total load passes through one spring then is transmitted entirely into the other spring... They don't 'share' the load like in parallel. If one spring is stiffer than the other it simply won't stretch as much.

  • @bibliophilesayan320

    @bibliophilesayan320

    2 жыл бұрын

    Thank you sir ☺️

  • @froopy7544
    @froopy7544 Жыл бұрын

    W

  • @idkbro6425
    @idkbro6425 Жыл бұрын

    u just had to flex ur drawing skills didnt ya

  • @INTEGRALPHYSICS

    @INTEGRALPHYSICS

    Жыл бұрын

    My lunch came down to either doodling a spring or grading students papers... I chose the path of doodling.

  • @qtjps2739
    @qtjps27392 жыл бұрын

    Great!

  • @INTEGRALPHYSICS

    @INTEGRALPHYSICS

    2 жыл бұрын

    Thanks!

  • @sammyburns4660
    @sammyburns4660 Жыл бұрын

    are these springs massless?

  • @INTEGRALPHYSICS

    @INTEGRALPHYSICS

    Жыл бұрын

    Sure. But if the 'initial' length of the springs was already supporting the mass of the springs, it doesn't matter.

  • @vimuthabeysinghe6
    @vimuthabeysinghe610 ай бұрын

    Oo so springs are kinda like capacitors 🧐

  • @INTEGRALPHYSICS

    @INTEGRALPHYSICS

    10 ай бұрын

    in a sense, yes.

  • @jdsarfo610
    @jdsarfo6104 ай бұрын

    wb gravity