A tree contractor has been hired by a homeowner to remove a k damaged tree from a previous storm. The top of the tree broke off, leaving the trunk in the ground. The arborist will remove the tree by attaching a rope near the top and cutting the base close to the ground. The scenario is shown in the figure. 2 The distances in the figure are z = 14.7 m, h = 1.45 m, y = 5.66 m and x = 10.64 m. If the arborist pulls on the rope with a force of magnitude F = 35.1 N, write the expression for the torque t with respect to the base P of the tree using ijk unit vector notation, i 7 = T,i + Tyj + t;k where tx, Ty, and t, are the values of the torque components in the x-, y-, and z-directions, respectively. N.m

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A tree contractor has been hired by a homeowner to remove a
k
damaged tree from a previous storm. The top of the tree broke
off, leaving the trunk in the ground. The arborist will remove
the tree by attaching a rope near the top and cutting the base
close to the ground. The scenario is shown in the figure.
2
The distances in the figure are z =
14.7 m,
h
1.45 m,
h
y = 5.66 m and x = 10.64 m. If the arborist pulls on the rope
1..
with a force of magnitude F
35.1 N, write the expression
X
for the torque T with respect to the base P of the tree using ijk
unit vector notation,
i
i = T,i + Tyj + t;k
where Tx, Ty»
and
Tz are the values of the torque components
in the x-, y-, and z-directions, respectively.
=
N•m
Transcribed Image Text:A tree contractor has been hired by a homeowner to remove a k damaged tree from a previous storm. The top of the tree broke off, leaving the trunk in the ground. The arborist will remove the tree by attaching a rope near the top and cutting the base close to the ground. The scenario is shown in the figure. 2 The distances in the figure are z = 14.7 m, h 1.45 m, h y = 5.66 m and x = 10.64 m. If the arborist pulls on the rope 1.. with a force of magnitude F 35.1 N, write the expression X for the torque T with respect to the base P of the tree using ijk unit vector notation, i i = T,i + Tyj + t;k where Tx, Ty» and Tz are the values of the torque components in the x-, y-, and z-directions, respectively. = N•m
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