Question

-/1 points 3. SerCP11 8.3.P.026. A window washer is standing on a scaffold supported by a vertical rope at each end. The scaffold weighs 208 N and is 2.9 m long. What is the tension in each rope when the 696-N worker stands 1.02 m from one end? N smaller tension larger tension Submit Answer

Answer 1

1.02m 1.45m

Let $T_{L}$ be the tension on the left side and $T_{S}$ be the tension on the right side

The worker is standing 1.02m from the left end

Take moment about right end

$\sum M=0$

$w*1.45m+W*(2.9m-1.02m)-T_{L}*2.9m=0$

$w*1.45+W*1.88=T_{L}*2.9$

$208N*1.45+696N*1.88=T_{L}*2.9$

$1610.08=T_{L}*2.9$

$\frac{1610.08}{2.9}=T_{L}$

ANSWER: ${\color{Red} T_{L}=555.2N}$

========================

Consider all vertical forces

$\sum F_{y}=0$

$T_{L}+T_{S}-W-w=0$

$T_{S}=W+w-T_{L}$

$T_{S}=696N+208N-555.2N$

ANSWER: ${\color{Red} T_{S}=348.8N}$

=========================