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