The movement of a piston head in a cylinder depends on the contents of the cylinder. If the cylinder is filled with concrete, the piston will not move regardless of the force applied. In the case of an incompressible liquid, the piston remains stationary until the force exceeds the cylinder's structural limits. A vacuum allows any applied force to move the piston to the end of the cylinder. Clarifying the specific scenario will yield more accurate answers regarding piston movement.