Learning about hyperbolic trig functions in calc class. It seems really interesting, and I would like to study it in-depth. Anybody got any info??

-Daniel

 

Originally posted by Danielsix-five@Jan 25 2006, 03:00 PM
Learning about hyperbolic trig functions in calc class. It seems really interesting, and I would like to study it in-depth. Anybody got any info??

-Daniel

[post=13481]Quoted post[/post]​

Take a look at this website.

http://mathworld.wolfram.com/HyperbolicFunctions.html

hgmjr

 

In addition to the above post, you can refer to: http://en.wikipedia.org/wiki/Hyperbolic_functions

You will find that the information is pretty much the same.

You could also check out Engineering Mathematics by Stroud, Part II Programme 3.

Dave

 

Here's an idea. If a catinary is created by suspending a wire between two posts, then its shape must result from gravity. So why doesn't a ball thrown in the air, which is also acted upon by gravity, form a path of a catinary. (Is that the right grammar?)

 

Originally posted by Danielsix-five@Feb 7 2006, 05:35 PM
Here's an idea. If a catinary is created by suspending a wire between two posts, then its shape must result from gravity. So why doesn't a ball thrown in the air, which is also acted upon by gravity, form a path of a catinary. (Is that the right grammar?)

[post=13902]Quoted post[/post]​

I'll give it a try. The ball is like a point mass and it's shape does not change appreciably under the force of gravity while it is in motion. This changes of course if the ball hits something.

Now the cable is a different story. It is like a distributed mass, and each mass element along the cable is under tension. This effect changes the shape of the hanging cable. The equilibrium shape of such a system can be shown to be a catenary.