A tree contractor has been hired by a homeowner to remove a 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. The distances in the figure are z = 12.0 m, h = 1.45 m, y = 4.83 mand x = 11.96 m. If the arborist pulls on the rope with a force of magnitude F = 35.1 N, write the expression for the torque 7 with respect to the base P of the tree using ijk unit vector notation, 7 = Txi + Tyj + T₂k where Tx, Ty, and Tz are the values of the torque components in the x-, y-, and z-directions, respectively. k 1 P T h 2 i

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Chapter1: Units, Trigonometry. And Vectors
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A tree contractor has been hired by a homeowner to
remove a 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.
The distances in the figure are z = 12.0 m, h
y = 4.83 m and x = 11.96 m. If the arborist pulls on the
rope with a force of magnitude F = 35.1 N, write the
expression for the torque 7 with respect to the base P of the
tree using ijk unit vector notation,
7 = txi + Tyj + T₂k
where Tx, Ty, and Tz are the values of the torque
components in the x-, y-, and z-directions, respectively.
= 1.45 m,
k
P
X
T
h
Transcribed Image Text:A tree contractor has been hired by a homeowner to remove a 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. The distances in the figure are z = 12.0 m, h y = 4.83 m and x = 11.96 m. If the arborist pulls on the rope with a force of magnitude F = 35.1 N, write the expression for the torque 7 with respect to the base P of the tree using ijk unit vector notation, 7 = txi + Tyj + T₂k where Tx, Ty, and Tz are the values of the torque components in the x-, y-, and z-directions, respectively. = 1.45 m, k P X T h
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