Is it possible to learn force analysis by combining mathematical vectors and physical force analysis

It's a good point to say, but physics is just asking questions, while mathematics is really solving problems. I studied theoretical physics myself, and I feel very much about it.

Force analysis in physics is the basis of mechanics, we know that force is a vector, to put it bluntly, it is the vector of your high school, when doing mechanics research, you rarely talk about calculating with direction when calculating, and the general direction and magnitude are discussed separately, in fact, this is not good, it will make you dizzy.

With the help of vectors, when we analyze a certain force, we establish a coordinate system and find the vectors corresponding to each force, such as finding the resultant force, so that we do not need to decompose the force and determine its symbol. We only need to directly add up the vector formula of the force, and the addition of the vector is very proficient, so that to find the resultant force, the physical level will be greatly improved, and the physical thinking will produce a leap.

To be honest, if you study this method well, you will get a lot of things, and studying mechanics in college is using the method you talked about, yes, it shows that you are still relatively talented.

It can be understood this way.

However, it is necessary to consider more comprehensively, and the stress factors are diverse.

I can tell you that if you have a good grasp of vector synthesis and decomposition and application in physics, you don't need to learn the chapter on mathematical vectors.

But the reverse is not true.

Yes, force is a vector quantity, and it is much simpler to learn vector addition and subtraction and vector triangles.

The fundamental laws of classical mechanics do not change from one stage to the next. The level and scope of knowledge learned in secondary school and university are only different.

What do you mean: "The force analysis is so different"? Can you give an example?

Objects that can move freely in space and obtain arbitrary displacement are called free bodies, such as falling bodies, throwing bodies, flying objects, etc.;

An object whose displacement is subject to certain limitations is called a non-free body or a constrained object. "Constraint" is the condition imposed on the non-free body to limit its displacement to a certain extent, which is generally composed of different types of objects by the contact situation, such as: smooth surface, movable hinge, movable hinge support, fixed hinge support, fixed end, friction and other constraints.

If there is a restriction and a constraint, it will have a reaction to the main force, which is called "restraint reaction force (support reaction force), and different constraints correspond to different possible constraint reactions (even),-this is the principle, and it cannot be arbitrary."

The binding force and the acting force are opposite, for example, the force at the end of the rod is the acting force, and the other end of the rod is the binding force, and the two are opposite.

The direction of the binding force is generally determined according to the type of constraint.

Start small.

1.First, learn the schematic diagram of drawing power.

2.Know the conditions for the generation of gravity, elasticity, and friction, and then judge whether there is one, and draw 3First the easy and then the harder, and gradually increase the difficulty.

4.Do not break down the force or the resultant force until the force analysis is complete.

5.Experience is gained through constant practice.

6.Exchanging experiences with other students can be better improved.

First analyze the field force (including gravity, electric field force, magnetic field force), and then analyze the contact force (including elastic force, friction force, first analyze the elastic force and then analyze the friction force, because there is no friction on the contact surface without elastic force! ）

Read more books, the focus is on figuring out the decomposition of force