at the knot
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Transcribed Image Text:5.59 Two ropes are connected
to a steel cable that supports a hanging
weight (Fig. P5.59). (a) Draw a free-
body diagram showing all of the forces
acting at the knot that connects the two
ropes to the steel cable. Based on your
diagram, which of the two ropes will
have the greater tension? (b) If the maxi-
mum tension either rope can sustain
Figure P5.59
60° 40°
without breaking is 5000 N, determine
the maximum value of the hanging weight that these ropes can safely
support. Ignore the weight of the ropes and of the steel cable.
5.60 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. P5.60). The rope
will break if the tension in it exceeds 2.50 × 10* N, and our hero's mass
is 90.0 kg. (a) If the angle 0 is 10.0°, what is the tension in the rope?
(b) What is the smallest value 0 can have if the rope is not to break?
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