Equilibrium in 2D Video Lessons

Concept

# Problem: 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. The rope will break if the tension in it exceeds 2.55×104 N, and our hero's mass is 87.6 kg .(a) If the angle between the rope and the horizontal is θ exttip{heta }{theta} = 11.1°, find the tension in the rope.(b) What is the smallest value the angle heta can have if the rope is not to break?

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###### Problem Details

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. The rope will break if the tension in it exceeds 2.55×104 N, and our hero's mass is 87.6 kg .
(a) If the angle between the rope and the horizontal is θ = 11.1°, find the tension in the rope.
(b) What is the smallest value the angle can have if the rope is not to break?