Interested readers can investigate the internal friction damping characteristics of elastic ropes through a number of approaches. The most research in this specific aspect, understandably, appears to have been done by the military with respect to mooring lines.
This Google search generates many full text publications without a paywall:
https://www.google.com/search?q=hystere ... e&ie=UTF-8
https://www.physicsclassroom.com/mmedia/energy/pe.cfm
The representation of the pendulum above using two forces (gravity and tension) neglects the third force of internal friction. This third force would also be set against the efforts of the swing rider in cyclically raising their center of mass to increase their potential energy.
Any mathematics gurus that can figure a real world problem?.
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Re: Any mathematics gurus that can figure a real world problem?.
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Re: Any mathematics gurus that can figure a real world problem?.
Just an aside: I remember chains being used for swing sets.
It looks like some modern sets have protective sleeves over chains.... so that I could really swing hard and achieve a brief free-fall followed by a jerk on the chains at the peaks of the swing path,...
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Re: Any mathematics gurus that can figure a real world problem?.
If you look at the equation for "period"/time, you will note the "L" (rope length) in the numerator of the square root function. As "L" increases, "T" (time) increases.
Aerodynamics will play a small role, but almost insignificant when compared to the gravitational force. If you replaced the human on the swing with something as large (cross section area), but very light (feather) aerodynamics would play a huge role.
Aerodynamics will play a small role, but almost insignificant when compared to the gravitational force. If you replaced the human on the swing with something as large (cross section area), but very light (feather) aerodynamics would play a huge role.
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Re: Any mathematics gurus that can figure a real world problem?.
As a kid, I only remember swingsets having chains. Never anything else. Kids' swing and adult swings alike both used that double linked bowtie-like links.Kevin Johnson wrote: ↑Sat Oct 20, 2018 8:04 pm Just an aside: I remember chains being used for swing sets.It looks like some modern sets have protective sleeves over chains.... so that I could really swing hard and achieve a brief free-fall followed by a jerk on the chains at the peaks of the swing path,...
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Re: Any mathematics gurus that can figure a real world problem?.
I remember the ones in a State Park having heavy duty links on a very tall frame with a thick black flexible (rubber?) seat.
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Re: Any mathematics gurus that can figure a real world problem?.
I remember something similar. In fact, I swear they were made from old tire treads, it seemed like.Kevin Johnson wrote: ↑Sun Nov 11, 2018 1:17 am I remember the ones in a State Park having heavy duty links on a very tall frame with a thick black flexible (rubber?) seat.
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bigjoe1 wrote:By the way, I had a long talk with Harold(Brookshire) last year at the PRI show. We met at the airport and he told me everything he knew about everything.It was a nice visit. JOE SHERMAN RACING