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The centripetal force | POINT classical mechanics

The centripetal force


When a centripetal force F acts on a body of mass m, causing it to move in a circular path with a centripetal acceleration a, According to Newton's second law, force is given by this equation: F = ma
as a = v/r
so F = ma = mv/r

Types of Centripetal Forces

Centripetal forces represent any force that acts perpendicularly to the path of a body's motion and makes it move in a circular path at a constant speed. Below we will learn about each of them:

1- tensile strength (Ft): 

wire, a tension force is created in the rope or wire perpendicular to the direction of motion of the object, causing it to move in a circular path at a constant speed.

That is: the tension force in the rope acts as an attractive Centrality Force.


2- The force of physical attraction (Fg):

There is a force of attraction between any planet and the sun that is perpendicular to the direction of the planet’s motion, causing it to move in a circular path around the sun. That is, the force of physical attraction in this case acts as a centripetal force.

3- Friction force (Ff):

When a car turns in a circular path or curve, a frictional force is created between the road and the car's tires.
This force is perpendicular to the direction of motion and towards the centre of the circle, making the car move in a curved path.
That is: the frictional force acts as a centripetal force.


4- The sum of the horizontal components of the reaction force and the frictional force towards the center of rotation:

When a car moves in a circular path inclined at an angle of θ° to the horizontal, it is affected by more than one force, including:

The reaction force acts vertically on the car. By analyzing the reaction force vector, the horizontal component of the reaction is perpendicular to the direction of motion and toward the center, causing the car to move in a curved path.
Friction force. By analyzing the friction force vector, the horizontal component of the friction force is also perpendicular to the direction of motion, causing the car to move in a curved path.
That is: the centripetal force = the sum of the horizontal component of the reaction force and the horizontal component of the frictional force towards the center of rotation.


5- The horizontal component of the lifting force:

The lift force acts vertically on the aircraft's body.
When the plane tilts, the horizontal component of the lift force is perpendicular to the direction of motion and towards the center, so the plane moves in a circular path.
That is: the horizontal component of the aircraft's lift force acts as a centripetal force