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. The rope will break if the tension in it exceeds 25000N, and our hero’s mass is 90kg.
(a) If the angle is 10o, find the tension in the rope.
(b) What is the smallest value the angle can have if the rope is not to break?
draw the diagrem.

each side holds half his weight.

sin10=W/2 / Tension

solve for tensions.

b. put in tension=2500
solve for theta

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