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 kgkg1. 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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Classical Dynamics of Particles and Systems

5th Edition

ISBN:9780534408961

Author:Stephen T. Thornton, Jerry B. Marion

Publisher:Stephen T. Thornton, Jerry B. Marion

Chapter2: Newtonian Mechanics-single Particle

Section: Chapter Questions

Problem 2.51P: Let us make the (unrealistic) assumption that a boat of mass m gliding with initial velocity v0 in...

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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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