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??
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.
@@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?
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.
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.
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
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.
he put a lot of effort into the drawing of the spring for a physics problems...RESPECT 🔥
It was fun. Thanks
Thank you so much for this video. Awesome penmanship and sketching by the way.
Glad it was helpful!
Dude I have watched this video so many times, absolutely great stuff!
Remarquable de clarté, merci!
This made the equation for springs in series seem so obvious I feel like I could've gotten it myself
Damn.. Bro it was genuinely helpful.. THANK YOU
Happy to help.
Great vid.
Love the drawings btw.
When you wanted to be an artist but you became physics teacher because of family pressure btw love the explanation
Thanks, but I assure you; nobody in my family thought becoming a teacher was a good idea.
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??
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.
@@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?
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.
I had exactly this doubt in mind
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
glad you like it.
Just excellent!
interesting that it is the same as the inductor combinations
Thanks, like the way you explain.
You are welcome!
Awesome Video. Love it!
Thanks!
Cleared my concept very well ✅💯 thank uhh so muchh
Most welcome 😊
In case of parrallel spring, the force acting on the system is only one so why the force acting on the first spring is not equall with the second
in parallel theres two independent spring forces acting on the block.
Thank you sir i understand it now
I love this lecture ❣️❣️❣️
Thanks man🔥
thank you so much... god bless you
You're most welcome
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
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.
Thank you sir ☺️
I subscribed, Great Video, Keep it up 👌
Thanks, will do!
You are saving lives
I'm gonna make that into a T-Shirt
Effort for diagrams is unreal
big love ❤
It was great thank you.
Glad you enjoyed it!
Thanks
My pleasure... That drawing was fun to do.
SHADING the springs!? 👏
you gotta watch out for those shady springs, they cant be trusted...
thanks you helped a lot😊😊😊😊😊😊😊😊😊😊😔
No problem 😊
are these springs massless?
Sure. But if the 'initial' length of the springs was already supporting the mass of the springs, it doesn't matter.
equivalent dispalcement or force = paralle otherwise serie
equivalent force = series, sharing the load = parallel.
helpful to me
Glad to hear that
Oo so springs are kinda like capacitors 🧐
in a sense, yes.
u just had to flex ur drawing skills didnt ya
My lunch came down to either doodling a spring or grading students papers... I chose the path of doodling.
W
How many are from india ❤
Mkc shaant reh
Great!
Thanks!
wb gravity