Chapter 12, Problem 28AP

The following equations are obtained from a force diagram of a rectangular farm gate, supported by two hinges on the left-hand side. A bucket of grain is hanging from the latch.

$\begin{array}{l}-A+C=0\hfill \\ +B-392\text{N}-50.0\text{N}=0\hfill \\ A(0)+B(0)+C(1.80\text{m})-392\text{N}(1.50\text{m})\hfill \\ -50.0\text{N}(3.00\text{m})=0\hfill \end{array}$

(a) Draw the force diagram and complete the statement of the problem, specifying the unknowns. (b) Determine the values of the unknowns and state the physical meaning of each.