102.
REASONING
Since the mountain climber is at rest, she is in equilibrium and the
net force acting on her must be zero.
Three forces comprise the net force, her
weight, and the tension forces from the left and right sides of the rope.
We will
resolve the forces into components and set the sum of the
x
components and the sum
of the
y
components separately equal to zero.
In so doing we will obtain two
equations containing the unknown quantities, the tension
T
L
in the left side of the
rope and the tension
T
R
in the right side.
These two equations will be solved
simultaneously to give values for the two unknowns.
SOLUTION
Using
W
to denote the weight of the mountain climber and choosing
right and upward to be the positive directions, we have the following freebody
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 Spring '08
 SOFFER
 Force, 65.0°, ΣFx, 1.580 W, 1.717 W, 1.717W

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