An adventurous archaeologist crosses between two rock cliffs by slowly going hand-over-hand along a rope stretched between the cliffs. He stops to rest at the middle of the rope (Figure 1). The rope will break if the tension in it exceeds 2.55×104 NN , and our hero's mass is 87.6 kgkg . 1. If the angle between the rope and the horizontal is θθtheta = 11.1 ∘∘, find the tension in the rope. 2. What is the smallest value the angle θθ can have if the rope is not to break?
An adventurous archaeologist crosses between two rock cliffs by slowly going hand-over-hand along a rope stretched between the cliffs. He stops to rest at the middle of the rope (Figure 1). The rope will break if the tension in it exceeds 2.55×104 NN , and our hero's mass is 87.6 kgkg . 1. If the angle between the rope and the horizontal is θθtheta = 11.1 ∘∘, find the tension in the rope. 2. What is the smallest value the angle θθ can have if the rope is not to break?
College Physics
1st Edition
ISBN:9781938168000
Author:Paul Peter Urone, Roger Hinrichs
Publisher:Paul Peter Urone, Roger Hinrichs
Chapter2: Kinematics
Section: Chapter Questions
Problem 19CQ: What is the last thing you should do when solving a problem? Explain.
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An adventurous archaeologist crosses between two rock cliffs by slowly going hand-over-hand along a rope stretched between the cliffs. He stops to rest at the middle of the rope (Figure 1). The rope will break if the tension in it exceeds 2.55×104 NN , and our hero's mass is 87.6 kgkg .
1. If the angle between the rope and the horizontal is θθtheta = 11.1 ∘∘, find the tension in the rope.
2. What is the smallest value the angle θθ can have if the rope is not to break?
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