homework 28 – NOORANI, ZOHEB
1
Latest unpenalized work: Apr 7 2008 Monday
04:00 (after this date you can not make a
perfect score). Work cutoff: Apr 8 2008, 4:00
am.
Question 1, chap 14, sect 2.
part 1 of 3
10 points
Consider a uniform ladder leaning against
a smooth wall and resting on a smooth floor
at point
P .
There is a rope stretched horizon
tally, with one end tied to the bottom of the
ladder essentially at
P
and the other end to
the wall. The top of the ladder is at a height
is
h
up the wall and the base of the ladder is
at a distance
b
from the wall.
The weight of the ladder is
W
1
.
Jill, with a
weight
W
2
, is onefourth the way
parenleftbigg
d
=
ℓ
4
parenrightbigg
up
the ladder. The force which the wall exerts on
the ladder is
F .
P
W
1
W
2
ℓ
d
T
θ
h
b
F
Note:
Figure is not to scale.
The torque equation about
P
is given by
1.
h
4
W
2
+
h
2
W
1
=
F b
2.
(
W
1
+
W
2
)
b
2
=
F h
3.
(
W
1
+
W
2
)
h
2
=
F b
4.
b
4
W
2
+
b
2
W
1
=
F h
5.
h
2
W
2
+
h W
1
=
F b
6.
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 Spring '08
 Turner
 Force, Mass, Work, Jill

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