Serway & Jewett — Static Equilibrium and Elasticity: Problem 28

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. \[-A + C = 0\] \[+B - 392\text{ N} - 50.0\text{ N} = 0\] \[A(0) + B(0) + C(1.80\text{ m}) - 392\text{ N}(1.50\text{ m}) - 50.0\text{ N}(3.00\text{ m}) = 0\] (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.