I desire to pull down a tree (object ABCDE). To do this, I tie a rope to the tree 1 meter off the ground. I then pass that rope around a nearby stump (G) and tie it to my car. The rope and all portions of the tree (limbs and trunk) are purely in the x, y, or z direction. For example, CBE is parallel to the Y axis, while DC is parallel to the X axis. Assume my car is applying 1000 N of tension to the rope. If the coefficient of static friction between the trunk (G) and the rope is .4, what is the magnitude of the force pulling on the tree at A. You may treat trunk G and the rope as a flexible flat belt over a fixed drum. D 4 2 Z B 3 E Fig 2: Using a car to pull down a tree. Y

I desire to pull down a tree (object ABCDE). To do this, I tie a rope to the tree 1 meter off the ground. I then pass that rope around a nearby stump (G) and tie it to my car. The rope and all portions of the tree (limbs and trunk) are purely in the x, y, or z direction. For example, CBE is parallel to the Y axis, while DC is parallel to the X axis. Assume my car is applying 1000 N of tension to the rope. If the coefficient of static friction between the trunk (G) and the rope is .4, what is the magnitude of the force pulling on the tree at A. You may treat trunk G and the rope as a flexible flat belt over a fixed drum. D 4 2 Z B 3 E Fig 2: Using a car to pull down a tree. Y

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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Question

I desire to pull down a tree (object ABCDE). To do this, I tie a rope to
the tree 1 meter off the ground. I then pass that rope around a nearby stump (G) and tie
it to my car. The rope and all portions of the tree (limbs and trunk) are purely in the x, y, or
z direction. For example, CBE is parallel to the Y axis, while DC is parallel to the X axis.
Assume my car is applying 1000 N of tension to the rope. If the coefficient of static
friction between the trunk (G) and the rope is .4, what is the magnitude of the force
pulling on the tree at A. You may treat trunk G and the rope as a flexible flat belt over a
fixed drum.
2
D
X
C
2
J
Z
B
3
E
Fig 2: Using a car to pull down a tree.

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