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

[@izyanali1635]

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

[@INTEGRALPHYSICS]

It was fun. Thanks

[@cupostuff9929]

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

[@4evrjustintime]

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

[@INTEGRALPHYSICS]

Glad it was helpful!

[@selwild2050]

Remarquable de clarté, merci!

[@bahaaadel7095]

Great vid.
Love the drawings btw.

[@Sumit_KumarDey]

Just excellent!

[@sadeqjamal1577]

Awesome Video. Love it!

[@INTEGRALPHYSICS]

Thanks!

[@water_souls5378]

interesting that it is the same as the inductor combinations

[@Kingland2]

Thank you sir i understand it now

[@its703]

I love this lecture ❣️❣️❣️

[@Its_JP_007]

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

[@INTEGRALPHYSICS]

Happy to help.

[@adibzahirrudin]

Thanks, like the way you explain.

[@INTEGRALPHYSICS]

You are welcome!

[@sadmanislam1106]

Thanks man🔥

[@TheStarDreamer]

I subscribed, Great Video, Keep it up 👌

[@INTEGRALPHYSICS]

Thanks, will do!

[@leonrommens9342]

big love ❤

[@anvi_deshpande]

thank you so much... god bless you

[@INTEGRALPHYSICS]

You're most welcome

[@NkoblaZili]

You are saving lives

[@INTEGRALPHYSICS]

I'm gonna make that into a T-Shirt

[@faridayeasmin3154]

It was great thank you.

[@INTEGRALPHYSICS]

Glad you enjoyed it!

[@vatanrangani8033]

Effort for diagrams is unreal

[@AlAoTachOP]

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

[@INTEGRALPHYSICS]

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

[@Pentaguin]

Thanks

[@INTEGRALPHYSICS]

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

[@desktoprevapmer]

helpful to me

[@INTEGRALPHYSICS]

Glad to hear that

[@nafisahassan577]

thanks you helped a lot😊😊😊😊😊😊😊😊😊😊😔

[@INTEGRALPHYSICS]

No problem 😊

[@froopy7544]

W

[@shaileshkrishna7658]

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]

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]

@@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]

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]

I had exactly this doubt in mind

[@AwestrikeFearofGods]

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]

Great explanation and sketching dude. Really appreacite it

[@INTEGRALPHYSICS]

glad you like it.

[@qtjps2739]

Great!

[@INTEGRALPHYSICS]

Thanks!

[@bibliophilesayan320]

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]

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]

Thank you sir ☺️

[@idkbro6425]

u just had to flex ur drawing skills didnt ya

[@INTEGRALPHYSICS]

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

[@vimuthabeysinghe6]

Oo so springs are kinda like capacitors 🧐

[@INTEGRALPHYSICS]

in a sense, yes.

[@sammyburns4660]

are these springs massless?

[@INTEGRALPHYSICS]

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

[@jdsarfo610]

wb gravity