Derivation of the Catenary Curve.

Рет қаралды 21,588

Dot Physics

3 жыл бұрын

Here is a derivation of the catenary curve

Пікірлер: 17

@jamesraymond1158 9 ай бұрын

KZfaq is wonderful. Such great content!

@winoddhamnekar6768 2 жыл бұрын

Very good explanation of catenary equation. Thanks.

@schizoframia4874 Жыл бұрын

Interesting

@eggonwalterlewinsshirt1071 2 жыл бұрын

5:46 if you take derivative with respect to x then T1 will no longer remain perfectly in x direction as we initially assumed? Imagine closing in on the midpoint of segment.T1 will surely have a component in negative y direction

@tetrabromobisphenol Жыл бұрын

That's not the case if you are taking the derivative at the point x = 0. It may be true elsewhere, but picking x= 0 as the point to do the analysis makes all of this alot easier. Also remember, this is done in the limit as s -> 0, so the segment has infinitesimal length.

@omermuharremyagcoglu6398 Жыл бұрын

Thank you sir, great lesson...

@shubhodeepde3927 3 жыл бұрын

Well explained

@DinsDale-tx4br 20 күн бұрын

9:40 Once upon a time I tried this problem I didn't know about hyperbolic functions and hence proceeded without Sinh. Using 'normal' trig and multiple substitutions the answer popped out in about 2 sides of A4 and a zillion square roots. This was 50 odd years ago as a teenager. I only mention it because these days folk even define a catenary in terms of hyperbolic functions which although succinct is not necessary. It took me 2 days at the time and I was embarrassed when asked why I hadn't used hyperbolic functions ... I simply has never heard of them.

@knowmore3169 Жыл бұрын

nice explained 😊😊😊😊😊😊

@DotPhysics Жыл бұрын

Thanks for liking

@ifrazali3052 3 жыл бұрын

Thank you so much

@GammaFZ 2 жыл бұрын

nice

@omermuharremyagcoglu6398 Жыл бұрын

Sir, Please solve this problem with variational calculus...

@zsphantom5271 5 ай бұрын

bro said trust me that's okay 😂 10:29

@Humanwastaken 11 ай бұрын

1:46 'i picked this point cus everyone else did it' caught me off guard 😂

@ayyu12 Жыл бұрын

So I’m a bit confused at this step 5:34. You’re considering an infinitesimally small element near the bottom of the curve, so that one of the tension forces is horizontal, and then equating forces. But this expression you get is only true for this element right? Because for the next element both the tension forces will be at some angle. Why are you differentiating both sides as if the expression is true for all elements?

@sundarnarayanan5282 3 ай бұрын

i think we never had made sure to make one tension to be horizontal for each and every element, the given expression of than(thetha) satisfies for all values of s and their differentiation never gave any relation for dT since T1 is a constant and we never involved the variable T as a function of any s or x or y