Friction Force Calculation at an Angle on Flat Surface

[Thegiver431]

how do you find friction force when applied force is at an angle, this is on a flat horizontal surface.

 

[Dale]

Usually you will need to break at least one force into components.

 

[Maged Saeed]

the static frictional force is :

$$u_sF_n$$

[Us] is constant and [F_n] is the wieght of the object the force is applied to plus the vertical component of the force ,, I think :)

Remember that the frictional force is always in opposite direction of the applied force , that means they would have a different signs

 

[CWatters]

F_n is the force normal to the surface (it need not be the "weight" of the object or even "vertical").

In these two examples the normal force is the weight of the object modified by the vertical component of the applied force F.
http://philschatz.com/physics-book/resources/Figure_06_01_07a.jpg

in a) that would be

F_n = mg+FSin(25)

in b) that would be

F_n = mg-FSin(25)

Since friction is proportional to F_n that means b is easier than a)

 

[PJC01]

To calculate the friction force when an applied force is at an angle on a flat horizontal surface, we must first understand the components of the applied force and the friction force. The applied force can be broken down into two components: the force perpendicular to the surface (normal force) and the force parallel to the surface (tangential force). The friction force, on the other hand, is always parallel to the surface and in the opposite direction of the tangential force.

To find the magnitude of the friction force, we can use the equation Ff = μFn, where μ is the coefficient of friction and Fn is the normal force. In this case, the normal force will be equal to the component of the applied force that is perpendicular to the surface. This can be found using trigonometric functions, such as cosine or sine, depending on the angle of the applied force.

Once we have the normal force, we can then use the coefficient of friction to calculate the magnitude of the friction force. The coefficient of friction is a measure of the resistance between two surfaces and can be found in tables for different materials.

To find the direction of the friction force, we can use the right-hand rule. If we point our thumb in the direction of the applied force, our fingers will curl in the direction of the tangential force, and the friction force will be in the opposite direction.

In summary, to calculate the friction force when an applied force is at an angle on a flat horizontal surface, we need to find the normal force using trigonometric functions and then use the coefficient of friction to determine the magnitude and direction of the friction force.