How Does Vertical Force Affect Normal Force on a Block?

AI Thread Summary
When a vertical force F is applied to a block resting on a floor, the normal force N reacts to changes in F. If F is applied downward, N increases to counteract the combined weight of the block and the downward force, ensuring the block remains stationary. Conversely, if F is applied upward, N decreases, as the upward force reduces the effective weight of the block on the surface. This adjustment of N is essential for maintaining equilibrium, preventing the block from either breaking through the surface or lifting off it. Understanding these dynamics is crucial for analyzing forces in static scenarios.
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Homework Statement


A vertical force F is applied to a block of mass m that lies on a floor. what happens to the magnitude of the normal force N on the block from the floor as magnitude F is increased from zero if force F is a)downward b)upward


Homework Equations


Let m be the mass of body. ideally if the body were to be at rest , and considering only vertical motion, N(reaction force on body from surface)=mg
1) if force F is downward, F+mg> N. The N would adjust in a way such by increasing it s value so that it can counter F+mg force else the block will break through the surface

2)the N would decrease or else the block would raise above the surface.

The Attempt at a Solution



a)downward= N increases
b)upward=N decreases
 
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Yes, you are correct. Intuition plays a good role in this case too because if you push down on a block harder, then the floor is going to have to push back harder for the forces to cancel and the block to stay still.
 
Yes, absolutely. But don't even worry about the case where the block has a velocity in the vertical direction. That's not a situation where you would even think much about static normal forces.
 
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