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

International Edition---engineering Mechanics: Statics, 4th Edition
4th Edition
ISBN:9781305501607
Author:Andrew Pytel And Jaan Kiusalaas
Publisher:Andrew Pytel And Jaan Kiusalaas
Chapter1: Introduction To Statics
Section: Chapter Questions
Problem 1.63P: Let A and B be two nonparallel vectors that lie in a common plane S. If C=A(AB), which of the...
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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.
Transcribed Image Text: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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