So as I lay here contemplating back surgery and trying to avoid sneezing the remains of a kidney through assorted orifices, I contemplate a problem  well, the primary "problem" is how long ago College was, but the problem I'm here to explore today is the force generated by a falling lever.
Now, I could simply have dropped this on my head, and the math is pretty trivial ("perform it in your head as a parlor trick"simple)
So let's imagine that we have a ladder, and this ladder has one end in contact with the surface that someone is standing upon. The other end is 14.6m in the air. The ladder weighs 63.5kg overall.
The ladder becomes unsettled and falls through its arc, and the woman reflexively reaches overhead and catches the end around 14m from the pivot. Let's say she stands 1.8m tall, and the easily compressible forearms put the initial point of impact at around 2.05m
So assume our heroine (moron?) foolishly forgot her cape and boots that morning. What kind of impact force are we looking at?
I'm going to try attaching an image here  but please bear in mind that I'm much better at math than art... Although illustrations make these things easier for me, I'm not terribly good at 'em...
I'm happy to simplify this  let's agree to ignore cross section, wind resistance, energy lost in material flexibility, ... If you want to bounce some massless balls on frictionless planes  knock yourself out. This is a magnitude problem for me.
TIA for any insights!
[P.S. If it's unclear  it's a practical problem, not a homework problem (Smirk) ]
Now, I could simply have dropped this on my head, and the math is pretty trivial ("perform it in your head as a parlor trick"simple)
So let's imagine that we have a ladder, and this ladder has one end in contact with the surface that someone is standing upon. The other end is 14.6m in the air. The ladder weighs 63.5kg overall.
The ladder becomes unsettled and falls through its arc, and the woman reflexively reaches overhead and catches the end around 14m from the pivot. Let's say she stands 1.8m tall, and the easily compressible forearms put the initial point of impact at around 2.05m
So assume our heroine (moron?) foolishly forgot her cape and boots that morning. What kind of impact force are we looking at?
I'm going to try attaching an image here  but please bear in mind that I'm much better at math than art... Although illustrations make these things easier for me, I'm not terribly good at 'em...
I'm happy to simplify this  let's agree to ignore cross section, wind resistance, energy lost in material flexibility, ... If you want to bounce some massless balls on frictionless planes  knock yourself out. This is a magnitude problem for me.
TIA for any insights!
[P.S. If it's unclear  it's a practical problem, not a homework problem (Smirk) ]
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