Step 1: Define critical speed.
The critical speed of a rotating shaft is the speed at which resonance occurs, and the shaft starts vibrating due to its natural frequency. The critical speed depends on the mass of the shaft, its stiffness, and the eccentricity of the load.
Step 2: Conclusion.
The critical speed is influenced by all three factors: mass, stiffness, and eccentricity.
Final Answer:
\[
\boxed{\text{mass, stiffness, and eccentricity}}
\]