Problem #$11(12$ points$)$

In the following figure, the bridge mass is $500.kg,$ the hanging object is $25\mathrm{.}0$ kg $.$ The rope is attached to the bridge $\frac{4}{10}$ of the distance from the hinge, and the angle shown is $=37\mathrm{.}0.$

Question #$1(3$ points$)$

Write down the equations needed to keep the bridge in equilibrium.

Question #$4(3$ points$)$

What would the mass of the object need to be to snap the rope $($it is made of a one inch nylon rope that has a breaking strength of $98\mathrm{.}9$ kN $)?$