It may not sound very exciting, I'll admit. Statics just sit around, so to speak. The problem relies on the fact that the object isn't moving, but we can extrapolate a lot of information from this fact. How does a seesaw balance when two children are different weights and sit on various spots? How can you quantify the frictional force that keeps your car from sliding down the hill? If the net force on an object is zero, suddenly there are a myriad of equations that pop up, telling you everything from Mu (the coefficient of friction) to Torque.