k j Z. 1. х 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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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=14.7 m,, h=1.45 m,, y=5.66 m and x=8.00 m. If the arborist pulls on the rope with a force of magnitude F=36.8 N,F=36.8 N, write the expression for the torque ττ with respect to the base P of the tree using ijkijk unit vector notation,

→τ=τxi+τyj+τzk

where τx,τy,and τz are the values of the torque components in the x-,, y-, and z-directions, respectively.

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