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1.Isolation (body) method.
1) Meaning: The so-called isolation (body) method is a method of isolating the object of study, including objects, states and certain processes, from the system or the whole process for research.
2) The basic steps of using the isolation method to solve the problem:
Clarify the research object, process, and state, and select the isolation object. The selection principle is to include the quantities to be found, and to select as few isolated objects and the number of equations listed as possible.
Segregating the subject from the system; Or isolate a certain state or process of the study from the whole process of movement.
Analyze and study the isolated research object, process, and state, and draw a force diagram in a certain state or a schematic diagram of the movement process in a certain stage.
Find the relationship between unknown quantities and known quantities, and select the appropriate physical law column equation to solve.
2.Holistic approach.
1) Meaning: The so-called holistic method is a method of analyzing and researching the entire system or the whole process composed of two or more objects as the object of study.
2) The basic steps of using the holistic approach to solve the problem:
Define the whole process of the system or movement under study.
Draw a force diagram of the system and a schematic diagram of the whole process of movement.
Find the relationship between unknown quantities and known quantities, and select the appropriate physical law column equation to solve.
The isolation method and the holistic method are not opposed to each other, and in the solution of general problems, with the transformation of the research object, the two methods are often used intersecting and complementing each other. Therefore, there is no absolute limit to the choice between the two methods, and it must be analyzed and used flexibly. Either method is based on the principle of avoiding or reducing as much as possible the occurrence of non-pending quantities (i.e., the occurrence of intermediate unknowns, such as non-pending forces, non-pending intermediate states or processes, etc.).
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1. Between the two walls there are three wooden blocks A, B, and C, all of which weigh G. Rough between walls and wooden blocks. Q: The magnitude and direction of friction between the two wooden blocks A and B.
My analysis is: A is subjected to the friction of the plank, the direction is upward, and the analysis is carried out using the whole method. The contact surface between A and B, A is subjected to downward friction, and the isolation method is used.
The contact surface between B and A is subjected to the upward friction of the bull, and B and C are treated as a whole. The upward frictional force experienced by the contact surface between b and c. B can be analyzed in isolation, or A and B can be analyzed as a whole.
The contact surface between C and B is subject to downward friction, and the friction between C and the board is upward.
Please correct any errors.
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When several objects have a common acceleration a (different velocities and the same acceleration can also be used in the global method), they can be regarded as wholes, for example, they are at rest together, they are at a constant speed together, they are accelerating or decelerating together.
There is no restriction on the use of the isolation method, and it can be used at any time, but it is more stressed and the solution is more complicated. When the problem requires the solution of internal forces, since the integral method does not take into account the internal forces, of course, the integral method is not considered. If the acceleration of several objects is also different, the system method can be used at this time, and the system method is also unconditional, but it is difficult to understand and is not used much.
Investigation of the two dimensions of wholeness and isolation:
The first is the selection of research objects, that is, when a physical problem contains multiple research objects, should the research object choose a single physics or the whole system, and how to identify and combine them in specific topics?
The second is the selection of motion processes, that is, when a physical problem involves multiple processes, whether the research process should choose one specific process, or treat multiple processes as one process to solve, and how to choose among the specific topics.
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Both the isolation method and the holistic method are the basic methods of solving physical problems.
The segregation method is to isolate the object of study from its surrounding environment and study it separately, which can be an object or a part of the object.
The holistic approach deals with several objects as a whole, or several physical processes that appear to have distinctly different properties and characteristics as a whole.
Characteristics of the integral method and the segregation method:
Advantages of the integral method: only the external force of the system is analyzed, and the force is simple and easy to analyze and calculate. Defect: Only the external forces are analyzed, and the internal forces of the system cannot be solved.
Isolation method: Analyze the internal forces and solve the internal forces.
Tips: In general, for two or more interrelated objects with common acceleration, the solution of the related problem should be analyzed as a whole and then isolated by analysis. That is, "first the whole, then isolation"!
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Holistic approach.
The holistic approach in physics refers to the method of analyzing and studying the entire system or process in a physical problem. In mechanics, several objects are regarded as a whole as the object of study, and when the force is analyzed, only the force of the object outside the whole object on the whole (external force) is analyzed, and the interaction force between the whole (internal force) is not considered.
Segregation Method:
It refers to the method of analyzing and studying a single object or a single process in a physical problem. In mechanics, the object to be analyzed is isolated from the relevant object system as the object of study, and only the force of the object other than the object of study is analyzed, and the force of the object of study on other objects is not considered. (treated as an idealized environment).
Advantages of the integral method and the segregation method:
The advantage of the holistic approach is that it only needs to analyze the relationship between the whole system and the outside world, and avoids the complicated interactions within the system.
The advantage of the isolation method is that it can clearly express the state of each object in the system, the reason for the change of the state of the object, and the interaction between the objects.
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First, the overall analysis is that the whole is supported by two times the pulling force to the left, 2t gravity.
From the law of ox two (m+m)*a=2t then a=2t (m+m)...Eq. 1 A to the left.
Then analyze m to make the person and the car relatively stationary, then the horizontal resultant external force (t and friction f) experienced by m must provide a
There are three scenarios.
1.If the tensile force t exactly provides a, i.e., f=0, then t=ma is coupled with 1 and has m=m c pairs.
2.If the tensile force t is not enough to provide a, it needs to be fed to the left to have enough a, at this time, t+f=ma is easy to know that mm a pair is at this time.
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The holistic approach and the isolation method are analytical methods that are often used in physics learning (the two methods are actually one and the other).
In the most popular way, this method is to draw circles.
The holistic method is to draw a circle with the whole and replace everything in the circle with this circle, and only analyze the state of the circle (force, motion, etc.), regardless of the circle.
The isolation method is to draw a circle on a certain part of the whole, and the same method is used.
There is a popular metaphor.
The holistic approach is a study of a basket of apples
The segregation method is to study an apple in a basket
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When is the holistic method and the isolation method used?
In general, as long as the problem of the connecting body (system) composed of two (or more) objects is solved, the integral method and the isolation method can be used, but the connecting body (system) is divided into a balanced system (acceleration is 0) and a Newtonian system (acceleration is not 0), and the use of the integral method and the isolation method in these two systems is different. Therefore, when doing the problem, you should first open your eyes to see the question clearly and judge whether the connector is balanced or unbalanced. Be sure to pay attention to the balance including:
stationary and constant velocity; And if the title says "a block is stationary relative to the inclined plane", it means that they have the same acceleration, such as "the block with mass m is placed on an inclined plane with an inclination angle, the mass of the inclined body is m, the inclined plane has no friction with the block, the ground is smooth, and a horizontal thrust f is applied to the inclined plane to make the object rest relative to the inclined plane".
1. Integrity and isolation in statics (equilibrium system).
First of all, it is necessary to understand that if the whole connected body is in equilibrium, then the isolation must also satisfy the equilibrium state for the individual objects, that is, the net force should be 0 when the whole is in place, and the net force of each object should also be 0 when isolated.
1) Finding external forces: When analyzing the effect of external forces on the system in the equilibrium system, the integral method is used.
2) Finding internal forces: When analyzing the interaction between objects (parts) in the system in the equilibrium system, the isolation method is used.
3) Force analysis: In statics, there is often force analysis, and the common question type is mainly to judge how many forces an object is subjected to; And this only requires the use of segregation. For example:
In a connecting body (system) with two objects, A and B, find how many forces are applied to object B? First analyze the force on object A, analyze how many forces are subjected to by object A and how many forces are given by object B, according to the force and reaction force, object A also gives these forces to object B in turn, and finally analyze the force on object B, it is easy to know how many forces are subjected to, as shown in the figure.
2. Wholeness and isolation in Newton's laws of motion.
If all objects in the body have the same acceleration (only the same acceleration is sought in the high school stage), the body (system) should be regarded as a whole (i.e., as a particle), the external force or motion should be analyzed, and the acceleration should be calculated by Newton's second law. If it is required to connect the internal forces of the interaction of various objects in the body, the objects are isolated, the force analysis of a certain object is carried out separately, and then the column formula of the object is solved by Newton's second law. When isolating objects, it is more convenient to isolate objects with less force.
1) Seek internal force: first the whole and then isolation.
2) Seek external force: first isolate and then integrate.
Try to do it].
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The method of selecting the research object.
1 Holistic approach.
Considering a group of connectors with the same acceleration as a whole, since the middle is the combined external force, and the force acting in the connector's body is the internal force, the force situation is simplified because it is not considered in the column formula.
2 Segregation method.
The method of isolating a part of the connector from the whole is studied, and the force exerted on it by other parts becomes an external force, and the isolation method is often used to find the force between the connectors.
In the actual problem solving process, the integral method and the isolation method are often used alternately, generally using the integral method to find the acceleration, and then using the isolation method to find the interaction force between objects.
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The whole method and the isolator method are two methods for force analysis in high school physics
When you do a mechanics problem, you first have to look at the object you are analyzing, whether it is a whole or a single object, if you look at the whole, then you can use the whole method; If you want to look at a single physical force, you need to use the isolation method, but it is not absolute, it depends on the specific topic to analyze, and sometimes it can be used together
When the time comes, it will be simple, convenient, and how to pull, and the purpose will be the same
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This is a problem that is often encountered in mechanics.
The physical problems we study often involve a system composed of multiple objects or multiple change processes, and according to the conditions and solution requirements provided by the problem, the isolation method and the whole method can be selected to solve the problem.
The specific method is to see multiple systems of matter as a whole and to separate the objects in the whole. The specific application should be explained in the specific topic. Read more tutorial books!
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You're a brainy student, and that's good! I'll explain it to you:
1. Integral method: you can regard a, b, and c as a whole, that is, it is such an irregular object placed on the ground, because it is placed on the horizontal ground, there is no movement tendency to the left or right relative to the ground, and of course it will not be subject to the friction of the ground on it.
2. Isolation method: first analyze the force on B, B is affected by three forces (B's own gravity, A's support force for it, and A's static friction force on it) and remains stationary, and the resultant force of these three forces must be zero. Then, the resultant force of the last two forces (the support force and friction force of A to B) must be the opposite of the first force (A's own gravitational force), that is, the net force of support and friction of A to B must be vertically upward.
Newton's third law shows that the resultant force of pressure and friction on a must be straight downward. That is to say, the force of B resting on the inclined plane of A on A is vertically downward and does not cause A to move to the left or right. In the same way, if C is placed on the inclined plane of A, it will certainly not be A that generates a movement to the left or right.
In short, neither B nor C causes A to move to the left or right, and A's own gravity is also vertically downward, and there is no tendency to move to the left or right. Therefore, there is no horizontal movement trend relative to the ground, and of course it will not be affected by the static friction of the ground!!
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