Normal force

This article deals with a force acting perpendicularly on a surface. For the cutting reaction see there.

A normal force is an interaction force in the contact zone between two bodies or a cutting force in a rod-shaped component. It is perpendicular to the contact surface or cut surface. The normal force acting in the direction of the normal vector generates compressive or tensile stresses. The normal force determines, among other things, the frictional force between two bodies.

In the example, the formula for calculating the normal force F_\text{N}results from the equilibrium of forces for the block in the normal direction: {\displaystyle F_{\text{N}}=F_{\text{GN}}}with {\displaystyle F_{\text{GN}}=\cos \alpha \cdot F_{\text{G}}}

In it, the angle of the inclined plane α \alpha , the cosine of the angle of the inclined plane \cos\alphaand the weight force F_{{\text{G}}}the mass }m.

In addition to the case of a pure load due to the weight, normal forces also occur, for example, as a result of aerodynamic downforce or due to the cornering pressure when negotiating a banked curve. In the latter case, the normal force results in:

Inclined plane: FN is perpendicular to the supporting surface and acts on the blockZoom
Inclined plane: FN is perpendicular to the supporting surface and acts on the block

Beam Theory

Main article: Beam theory

In 1st order bar theory, the normal force is the longitudinal force parallel to the bar axis direction:

{\displaystyle F_{\text{N}}=\int _{A}\sigma _{xx}\mathrm {d} A}

Questions and Answers

Q: What is normal force?


A: Normal force is the force that the ground (or any surface) pushes back up with.

Q: What would happen if there was no normal force?


A: If there was no normal force, you would slowly seep into the ground.

Q: How is the normal force on an object related to its weight?


A: On a flat surface, the normal force of an object is equal to its weight (the object's mass multiplied by the force of gravity).

Q: How does an inclined plane affect the normal force?


A: On an inclined plane, the normal force is reduced by the angle, and it can be calculated using m g c o s θ.

Q: What does θ represent in this equation?


A: θ represents the angle of inclination in this equation.

Q: When would cosθ be 1?


A: cosθ would be 1 when θ (angle)is 0, which occurs on a flat surface.

Q: How do these two equations compare to each other? A: The two equations are equal when on a flat surface.

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