Answer
334 Newtons
Work Step by Step
The first thing we need to do is find Ff,max or the maximum value of the force of static friction. To do so we need the value of the Normal Force. Since there are no external vertical forces on the cabinet, the weight is equal to the Normal Force. Therefore, the maximum value of the frictional force is 556N * 0.68 = 378 N
If the force applied is smaller than the frictional force then the frictional force can only be as large as the force applied. Since the force applied is 334N then the frictional force is also 334N