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 (Fig. 5.42$)$ . The rope will break if the tension in it exceeds $2.50 \times 10^{4} \mathrm{N}$ , and our hero's mass is 90.0 $\mathrm{kg}$ . (a) If the angle $\theta$ is $10.0^{\circ},$ find the tension in the rope. $(b)$ What is the smallest value the angle $\theta$ can have if the rope is not to break?
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