The climber is in free fall until the rope starts to catch the fall. Set up the model that applies to free fall and derive the expression for the speed vo the climber has when the rope starts to slow down the fall. In this subquestion you can assume that the speed of the climber is only a function of y such that: dy dt = v(y) ⇒ d²y dt² dv dy = v.
The climber is in free fall until the rope starts to catch the fall. Set up the model that applies to free fall and derive the expression for the speed vo the climber has when the rope starts to slow down the fall. In this subquestion you can assume that the speed of the climber is only a function of y such that: dy dt = v(y) ⇒ d²y dt² dv dy = v.
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need help to derive the expresion for Vo at y=0
Transcribed Image Text:a) The climber is in free fall until the rope starts to catch the fall. Set up the model that
applies to free fall and derive the expression for the speed vo the climber has when the
rope starts to slow down the fall. In this subquestion you can assume that the speed of
the climber is only a function of y such that:
L
y
2
h
y = 0
dy
dt
=
v(y) ⇒
d²y
dt²
= V
dv
dy
Figure 1: Climbing with mass m falling freely in length h until the elastic rope starts to slow
down the fall at y = 0 and t = to = 0. At this time, the climber has speedvo. The rope has
length L, is fixed at point S, and is without slack as the climber falls.
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