Question

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 2.40×10⁴ N , and our hero's mass is 90.2 kg .

a)If the angle between the rope and the horizontal is θ = 11.5 ∘, find the tension in the rope.

b)What is the smallest value the angle θ can have if the rope is not to break?

Answer 1