Because friction will always "oppose" the motion. In conservative field, the force both assists and opposes the motion when you make a round trip, thus net work done is 0.Andres Latorre said:I not understand because why if I have a (constant) force of friction and I apply the curl, I finding that this not is equal to zero, since this force is non conservative.
So a vector field is a field which evaluates to a single vector at each point in space. You can certainly restrict the space to cover a smaller region, that is not the problem with frictional force.Andres Latorre said:Thank you Dale. You could say that the friction force is a vector field, since it is not defined in the entire space ?. For example, in the case of a closed square trajectory, by analyzing the frictional force is being defined with different direction in each of the faces of the square, that force is not the same throughout the path could validates be another reason?
Yes.Andres Latorre said:The friction force is clearly not conservative, then it is expected that their work is non-zero for the closed path, which is actually true as shown in the calculation.
It isn't, but good luck.Andres Latorre said:I think that it is a vector field because below I calculate the curl of force and is nonzero
A nonconservative force is a type of force that does not follow the principle of conservation of energy. This means that the total energy of a system is not constant when nonconservative forces are present.
The force of friction is a type of nonconservative force that resists the motion of two surfaces in contact with each other. It is caused by the interactions between the microscopic bumps and ridges on the surfaces, which create resistance and opposes the motion.
The force of friction acts in the opposite direction of motion, making it more difficult for an object to move. It can also cause objects to slow down or come to a stop, as it constantly resists the motion of the object.
Besides the force of friction, other examples of nonconservative forces include air resistance, drag, and tension in a rope or string. These forces all act to oppose or slow down motion and do not follow the principle of conservation of energy.
One way to reduce the effects of nonconservative forces is to minimize the contact between surfaces, such as using lubricants to reduce friction. Another way is to design objects with streamlined shapes to reduce air resistance and drag. Additionally, applying a force in the opposite direction can counteract the effects of nonconservative forces.