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HW4C. 3 -
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HW4C.3. Internal forces
Consider the basketball pole and hoop modeled in two dimensions below. The base of the pole is cemented to the ground. Prof. Juarez and Prof. Kersh are still playing with Jordan and try again to block a shot and land on the hoop with forces \( \vec{F}_{J} \) and \( \vec{F}_{K} \) at point \( A \). They begin to worry that the long winter has taken it's toll on both their diets and the material strength of the pole.
Given the following:
\[
\begin{array}{l}
\left|\vec{F}_{J}\right|=500.31 \mathrm{~N} \\
\left|\vec{F}_{K}\right|=392.4 \mathrm{~N} \\
\alpha=53^{o} \\
a=5 \mathrm{~m} \\
b=7.5 \mathrm{~m} \\
c=4.5 \mathrm{~m}
\end{array}
\]
Determine the magnitude of the internal loads acting on the upper portion of the pole at point \( B \).