A $9\mathrm{.}00$ m uniform beam is hinged to a vertical wall and held horizontally by a $5\mathrm{.}00$ m cable attached to the wall $4\mathrm{.}00$ m above the hinge, as shown in the figure below $($Figure $1).$ The metal of this cable has a test strength of $0\mathrm{.}900$ kN $,$ which means that it will break if the tension in it exceeds that amount.

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Figure

$1$ of $1$

Part A

What is the heaviest beam that the cable can support with the given configuration?

Express your answer in kilograms.

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Part B

Find the horizontal component of the force the hinge exerts on the beam. Suppose that the positive direction of the horizontal axis is to the right.

Express your answer in newtons.

$F_h=$

N

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