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
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he put a lot of effort into the drawing of the spring for a physics problems...RESPECT 🔥
@INTEGRALPHYSICS
Жыл бұрын
It was fun. Thanks
Remarquable de clarté, merci!
Thank you so much for this video. Awesome penmanship and sketching by the way.
@INTEGRALPHYSICS
Жыл бұрын
Glad it was helpful!
This made the equation for springs in series seem so obvious I feel like I could've gotten it myself
Great vid. Love the drawings btw.
interesting that it is the same as the inductor combinations
Just excellent!
Thank you sir i understand it now
Awesome Video. Love it!
@INTEGRALPHYSICS
2 жыл бұрын
Thanks!
I love this lecture ❣️❣️❣️
Thanks man🔥
Damn.. Bro it was genuinely helpful.. THANK YOU
@INTEGRALPHYSICS
7 ай бұрын
Happy to help.
big love ❤
Thanks, like the way you explain.
@INTEGRALPHYSICS
7 ай бұрын
You are welcome!
When you wanted to be an artist but you became physics teacher because of family pressure btw love the explanation
@INTEGRALPHYSICS
8 ай бұрын
Thanks, but I assure you; nobody in my family thought becoming a teacher was a good idea.
I subscribed, Great Video, Keep it up 👌
@INTEGRALPHYSICS
2 жыл бұрын
Thanks, will do!
You are saving lives
@INTEGRALPHYSICS
Жыл бұрын
I'm gonna make that into a T-Shirt
thank you so much... god bless you
@INTEGRALPHYSICS
7 ай бұрын
You're most welcome
Effort for diagrams is unreal
It was great thank you.
@INTEGRALPHYSICS
5 ай бұрын
Glad you enjoyed it!
Thanks
@INTEGRALPHYSICS
Жыл бұрын
My pleasure... That drawing was fun to do.
helpful to me
@INTEGRALPHYSICS
4 ай бұрын
Glad to hear that
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
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
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
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
Жыл бұрын
I had exactly this doubt in mind
@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.
Great explanation and sketching dude. Really appreacite it
@INTEGRALPHYSICS
6 ай бұрын
glad you like it.
thanks you helped a lot😊😊😊😊😊😊😊😊😊😊😔
@INTEGRALPHYSICS
Жыл бұрын
No problem 😊
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
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
2 жыл бұрын
Thank you sir ☺️
W
u just had to flex ur drawing skills didnt ya
@INTEGRALPHYSICS
Жыл бұрын
My lunch came down to either doodling a spring or grading students papers... I chose the path of doodling.
Great!
@INTEGRALPHYSICS
2 жыл бұрын
Thanks!
are these springs massless?
@INTEGRALPHYSICS
Жыл бұрын
Sure. But if the 'initial' length of the springs was already supporting the mass of the springs, it doesn't matter.
Oo so springs are kinda like capacitors 🧐
@INTEGRALPHYSICS
10 ай бұрын
in a sense, yes.
wb gravity