An adventurous archaeologist crosses between two rock cliffsby slowly going hand-over-hand along a rope stretched between thecliffs. He stops to rest at the middle of the rope [tex]\sqrt{1}[/tex]. The rope will break if the tensionin it exceeds [tex]3.00 \times 10^4 \mathrm{~N}[/tex], and our hero's mass is [tex]86.6 \mathrm{~kg}[/tex].
a) If the angle between the rope and thehorizontal is [tex]\theta=11.2^{\circ}[/tex], find the tension in the rope.
Take the free fall acceleration to be [tex]g=9.80 \mathrm{~m} / \mathrm{s}^2[/tex].
