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###### hyperbolic function catenary problem

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1 month ago

An electric cable strung between supporting posts, takes the form of the following curve, which is called a

catenary, and which has the following relationship:

𝑦 = a cosh (𝑑/2a)

a = minimum height above the ground of the cable

d = distance between the supporting posts

(i) If the height of the posts is 10 m and the minimum height of the cable above the ground is

8 m, determine the distance between the posts.

(ii) Determine the length of the cable s, between the posts in (i) above, given by the following

equation:

𝑠 = 2a sinh ( 𝑑/2a)

catenary, and which has the following relationship:

𝑦 = a cosh (𝑑/2a)

a = minimum height above the ground of the cable

d = distance between the supporting posts

(i) If the height of the posts is 10 m and the minimum height of the cable above the ground is

8 m, determine the distance between the posts.

(ii) Determine the length of the cable s, between the posts in (i) above, given by the following

equation:

𝑠 = 2a sinh ( 𝑑/2a)

Original post by weeliam9

An electric cable strung between supporting posts, takes the form of the following curve, which is called a

catenary, and which has the following relationship:

𝑦 = a cosh (𝑑/2a)

a = minimum height above the ground of the cable

d = distance between the supporting posts

(i) If the height of the posts is 10 m and the minimum height of the cable above the ground is

8 m, determine the distance between the posts.

(ii) Determine the length of the cable s, between the posts in (i) above, given by the following

equation:

𝑠 = 2a sinh ( 𝑑/2a)

catenary, and which has the following relationship:

𝑦 = a cosh (𝑑/2a)

a = minimum height above the ground of the cable

d = distance between the supporting posts

(i) If the height of the posts is 10 m and the minimum height of the cable above the ground is

8 m, determine the distance between the posts.

(ii) Determine the length of the cable s, between the posts in (i) above, given by the following

equation:

𝑠 = 2a sinh ( 𝑑/2a)

the formula y = a cosh (d/2a) will only have a single value for y.... is there something missing ?

Original post by the bear

the formula y = a cosh (d/2a) will only have a single value for y.... is there something missing ?

https://media.cheggcdn.com/study/5f3/5f3b4ac0-588f-449e-854b-c27215a6b1c9/image

y would be the height of the support posts a distance d apart, so its not really a curve ... Though it sort of is if you regard d as a variable and not related to the support posts ...

(edited 1 month ago)

Original post by mqb2766

https://media.cheggcdn.com/study/5f3/5f3b4ac0-588f-449e-854b-c27215a6b1c9/image

y would be the height of the support posts a distance d apart, so its not really a curve ... Though it sort of is if you regard d as a variable and not related to the support posts ...

y would be the height of the support posts a distance d apart, so its not really a curve ... Though it sort of is if you regard d as a variable and not related to the support posts ...

Thanks for this. I've been overthinking it

Original post by weeliam9

Thanks for this. I've been overthinking it

Are you ok with it now? It should just be a couple of lines.

Original post by mqb2766

Are you ok with it now? It should just be a couple of lines.

Yeah, I'm OK with it now. I'm just getting back into studying after 20 years. I am slowly getting back into it.

Thanks for your help

Original post by weeliam9

Thanks for this. I've been overthinking it

Hi,

So was y the height of the post in this equation?

Original post by the bear

the formula y = a cosh (d/2a) will only have a single value for y.... is there something missing ?

One line would be the distance between posts? Is that right?

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