resultant
Acceleration is a vector, meaning each acceleration has both magnitude and direction. The resultant of vectors is basically the net acceleration on the object expressed as a single vector. For example, if there are two vectors each with a magnitude of 2 meters/(seconds squared) acting on an object and these vectors were placed on the x and y axes then you could represent this system of 2 vectors 90 degrees apart each with a magnitude of two meters/(seconds squared) as one vector of 45 degrees with a magnitude of 2 times the square root of 2 meters/(seconds squared).
If you have those two forces, the net force can be anything between 8 - 4 and 8 + 4 newton, depending on the angle between the force vectors.
Velocity changes as the result of a force. More specifically, the net force on an object must be different to zero. The net force is the vector sum of all the forces acting on an object.
The result of unbalanced forces is a net force that can accelerate a body.
Net Force
A variety of mathematical operations can be performed with and upon vectors. One such operation is the addition of vectors. Two vectors can be added together to determine the result (or resultant). This process of adding two or more vectors has already been discussed in an earlier unit. Recall in our discussion of Newton's laws of motion, that the net force experienced by an object was determined by computing the vector sum of all the individual forces acting upon that object. That is the net force was the result (or resultant) of adding up all the force vectors. During that unit, the rules for summing vectors (such as force vectors) were kept relatively simple. Observe the following summations of two force vectors:
The sum of vectors is not always a force. It might be a displacement, a velocity, acceleration, momentum, divergence, curl, gradient, etc. In any case, the algebraic combination of several individual vectors is the "resultant".
The direction of the arrow indicates the direction of the resultant force. The length of the arrow indicates the amount of the force. Resultant means the net result of two or more forces.
The acceleration depends on the net force. So, you must add the forces together as vectors. The result in this case depends in what direction the force is applied.
The two vectors are P & Q..Sum of the two vecotors is P+Q=R..R Is called the resultant vector of this two vector..the action of the resultant vector R is equal to the actions of two vectors P & Q..
There's no such thing as "a net force". "Net" means what you have at the end when all is said and done, usually the result of adding up all the pieces. The 'net' force on an object is the combination of the strengths and directions of all of the separate individual forces acting on it.
Forces are vectors and, like all vectors, they have magnitude and direction. Forces can be added together using vector addition and to do so, it is necessary to know their directions.
Acceleration is a vector, meaning each acceleration has both magnitude and direction. The resultant of vectors is basically the net acceleration on the object expressed as a single vector. For example, if there are two vectors each with a magnitude of 2 meters/(seconds squared) acting on an object and these vectors were placed on the x and y axes then you could represent this system of 2 vectors 90 degrees apart each with a magnitude of two meters/(seconds squared) as one vector of 45 degrees with a magnitude of 2 times the square root of 2 meters/(seconds squared).
Correct, the vectors of all forces summed equaling zero mean the forces are balanced, though it could be argued that an object with no forces acting on it has zero net forces, but it's rather hard to balance nothing with more nothing,
No, it's the same. Resultant is the mathematical term for the vector you get when you add several vectors together.
On the net.
On the surface, it seems net applied force on the ring would be zero. Vectors assessed at any point will sum to a value of equal but opposite sign to the vectors at a point symetrically opposite. In a perfect theoretical construct, the force vectors will "cancel out" and nothing will happen. But there may be a little more to this....