Topic: Dynamics
Concepts: Statics, Torque from weight

Solution:

We choose the hinge as the pivot point and balance torques on one of the legs. The weight $mg$ of the leg acts at its center while the normal force $N=mg$ acts at the bottom to keep the leg at rest. Friction $f$ points inward to prevent the sign from collapsing. These are the only forces that contribute to the torque since the force at the hinge has no moment arm. We have

Solving for $f$,

Since static friction $f \leq \mu N$, we have

so the answer is E.