to the other side
Those who know this place probably are currently smiling. As the tibetian prayer flags have bleached e little in the past two years, we had to substitute them. Naturally the new flags are very fresh and clean. But we developed an almost brilliant scheme to generate motivation to often renew these new flags now flying over the student appartment building's parking lot. ;-) |
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7 comments so far...
Answer was, of course: "We are no idiots!"
I don't have the time to draw it now, but if you simply calculate the triangle of force build up by a weight hanging in the middle of the rope. And if you then know, that the hook at one side of the construction is build to resist 50kg hangig from it, you are happy this construction is not crashing from the weight of our (wet) clothes.
A human being of approx. 80kg? I wouldn't dare. And I beg you to bring somebody to clean up your remains after you tried.
In short: if the angle in the middle of the rope (at the point where a potential climber would be dangling) is wider than 120° then the force at both anchor-points would be greater than the force of his weight alone. Given, that his weight alone would be sufficient to burst the hook at one side and the tension of the rope (prividing a wider angle than 120°, he would probably put twice the maximum allowed force on the hook.
Good luck.
And I just thought about reducing the slack nevertheless.
Lesson to learn: if you walk the tight rope be sure of your anchors!
* remembering of high school lessons *
T traction on each half of the rope
m mass of clothes, considering a concentraded mass of clothes in the middle of the rope
g gravity
α angle in the middle of the rope
T = m*g*acos(α/2)/2
cheerz