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
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
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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Rotational Equilibrium And Rotational Dynamics
In physics, the state of balance between the forces and the dynamics of motion is called the equilibrium state. The balance between various forces acting on a system in a rotational motion is called rotational equilibrium or rotational dynamics.
Equilibrium of Forces
The tension created on one body during push or pull is known as force.
Question

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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