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 (See the figure). The rope will break if the tension in it exceeds 3.50×104 N . Our hero’s mass is 70.0 kg

Part A If the angle θ is 12.0 ∘, find the tension in the rope. Start with a free-body diagram of the archaeologist.

Part B What is the smallest value the angle θ can have if the rope is not to break?