Substituting the values given in the problem statement (with
22
7.58 m
aL
h
=−
=
), the
fraction of ladder climbed is
()
(
/
3
)
(9.3 m)(0.53)(72 kg 45 kg) (7.58 m /3)(45 kg)
(72 kg)(7.58 m)
0.848
85%.
s
hM
m
am
x
aM
a
μ
+−
==
=≈
40. Let
x
be the horizontal distance between the firefighter and
the origin
O
(see figure) that makes the ladder on the verge of
sliding. The forces on the firefighter + ladder system consist of
the horizontal force
w
F
from the wall, the vertical component
py
F
and the horizontal component
px
F
of the force
p
F
G
on the
ladder from the pavement, and the downward gravitational
forces
Mg
and
mg
, where
M
and
m
are the masses of the
firefighter and the ladder, respectively. Since the system is in
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This note was uploaded on 05/17/2011 for the course PHY 2049 taught by Professor Any during the Spring '08 term at University of Florida.
 Spring '08
 Any
 Physics, Force

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