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Posted: Thu 9:28, 28 Apr 2011 Post subject: On the inertia of _80 |
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On the inertia of
Abstract: The classical mechanics the inertia of the existing view within the different views put forward that the inertia to distinguish: the nature of individual subjects and the nature of existence; to maintain a state of nature and change the nature of a state; dynamics of physical laws and Aesthetics.
Keywords: Inertia; exist; time; space
Classical mechanics, inertia is a basic concept, but it is the people's daily life in a basic concept, and the problem of inertia is often a topic of discussion of physics (1). However, despite the classical mechanics after a long period of development, most of the physics teacher on this issue, there are still a lot of confusion, (2), this article from the inertial aspects were discussed, hope drew consensus.
First, the meaning of inertia
We all know, the inertia of an object remain stationary state or the nature of the state of uniform rectilinear motion (3). An object, as long as from external forces, the original would have been still going static, and the original motion would have been for the uniform linear motion. The problem here is: Is the inertia properties of the object? According to Newton's first law of motion,[link widoczny dla zalogowanych], the inertia of any object are. Thus, it seems that inertia is not the nature of the object being studied, because the nature of all objects possess, meaning that it has nothing to do with the individual characteristics of the object. Thus, inertia can only be a feature of existence, is the surrounding environment study on the performance of this object. In other words, it exists in a condition of the surrounding objects, a constraint.
Early twentieth century, German mathematician Notre (4) proved: conservation of momentum space translation symmetry, space rotation symmetry for the conservation of angular momentum, and time lead to uniformity of conservation of energy. In fact, the inertia of the object is the symmetry of time and space uniformity of the inevitable results. Therefore it has nothing to do individual special study. Inertia is not the nature of individual existence, individual beings who only manifestation of inertia, the inertia of the nature and characteristics of individual existence has nothing to do. We can not be used to reflect the amount of the individual nature of existence (such as mass) to measure the inertia. Because of inertia, as the existence of a show, there is no size to speak of, it is only the expression of the existence of the state.
Second, the change of state of inertia and the movement of objects unrelated to the degree of difficulty
Quality is generally considered a measure of the size of the object of inertia is the reason, according to this: the quality of large objects in the same state of motion under the action of forces is not easy to change. This is obtained by the Newton's second law the basic conclusions. In fact, if the status changes in the movement of objects, state changes the movement of objects is difficult or easy is independent of inertia. Inertia reveals the nature of the object is not its cause (or resistance) to change the state of the movement of objects or on behalf of the ability to change the degree of difficulty, but rather it is to maintain a particular state (rest or uniform motion) the ability to: between the most similar objects, said the most clever illusion lies; the smallest crack is the most difficult (5). Inertia and mass of the object and therefore has nothing to do. If the inertia and mass of the object-related, then we can also say there are between force and inertia. Because for the same quality of objects, the power of the state to the more difficult the smaller the change in its motion. Therefore, that the greater the force of inertia of the smaller objects. In fact, in the first period of development of the concept of inertia, Newton will be the equivalent force of inertia and thinking, of course, we all know now equivalent to Newton's inertial force of the idea is a wrong. If it does have mass and inertia of links, then that can only be of such a perspective from: Inertia is the performance by the existence of objects around the object with the mass distribution of space-time determines the nature of the situation. This is because, according to general relativity, space is the nature of the mass distribution of objects determined. As for time, since Augustine (6) that anything.
Inertia is not an individual object has its own reason for the (admittedly, all the objects will exhibit inertia), it is not one of our difficult and need support and painful sense of reflection, in fact, it is The beauty of the bloom there. Thus, Because of this Note, or from the basic analysis of Newton's second law comes in the comments have been hidden from Newton's second law and the equivalence of inertial mass with the object identity. In fact, inertia is a very very safe, comfortable and harmonious nature of existence, it makes the existence of the object behavior is very simple, and people are often due to the existence of this common simplicity to ignore its deeper meaning . Never rest at rest, exercise is always for the uniform linear motion, inertia is the existence of such a monotonous and repetitive to appear in people's eyes. Those who departed from the presence of two objects with inertia to explain the reasons for its existence, that are a kind of sophistry inappropriate behavior. But this quibble acts not only numb the human brain and filled with a variety of textbooks (, we look at some examples below.
Example 1. Inertia also has a downside, high-speed vehicles can not be timely because of inertia and braking often cause traffic accidents. Therefore, in the city's urban areas, the speed of the motor vehicle has certain restrictions, in order to facilitate road safety. (9)
Here, can not brake in time because of inertia or because of the braking force is not big enough? Thinking briefly, the reader can determine due to the latter. As a destructive force of inertia is very absurd. The real cause of traffic accidents, due to the quality of a larger vehicle, and the corresponding braking force in such a quality of objects produced by the acceleration is very small, can not slow down the vehicle quickly, resulting in a short time to stop. If the quality of the larger vehicles, but also allow for greater braking force, then that can still be of a certain period of time in braking the vehicle.
And, in this example, For beginners, this is a big misleading.
Example 2. One end to the handle hit the concrete floor several times, and an ax to firmly set in the handle on, and this is what cause it? (10)
Usually the standard answer is this: Start both axes and the handle downward, when the handle when an obstacle suddenly stopped, and the ax due to inertia to maintain the original state of motion, so firmly set in the ax to ax handle on the.
In fact, the ax stuck in the handle on the ax to overcome the resistance due to relative displacement of the handle movement for a while, but not to overcome the inertial resistance to a movement of the reasons for the ax. One problem in this effect is relative to the handle axes produced a certain (to overcome a certain force) movement, so we have to the handle for the frame of reference to examine the substance of such a movement. When the handle as a reference, the fact the handle is in the process of the impact of a non-inertial reference frame, it has an upward relative to the inertial acceleration. In this frame of reference in which the ax will be a downward so that the ax stuck in the handle on. If we must look to the ground as the reference ax stuck in the handle on the problem, you can believe that: Although the ax stuck in the handle top-down process had not been down other than the addition of gravity force, but the relative ax on the ground in terms of a certain kinetic energy and gravitational potential energy, it is this energy to do work to overcome the resistance into internal energy. In effect, therefore, one ax with respect to the handle down for a shift, and second axes with the handle of the contact surface in the heat.
If only from the dynamic point of view, the ax was securely in the handle is not strong on the sets is determined by its size and role of the force by the time (or adopted by the displacement) are jointly determined, meaning that it and axes relative to the handle of the kinetic energy or momentum change. The handle in the However, while the inertial forces form the ax stuck in the handle on the direct cause may be, strictly speaking, an ax was securely in the handle on the sets and also not strong because of the gravity and the handle of the ax and the ax and the handle flexible The friction between the size of both. And ax is solid in the handle on the sets of the role of time is not strong and great relationship, and thus, impact
Example 3. Place a small vertical board wood, so wood table along with the car moving to the right, when the car is braking tailgate, the car dumping of wood to the right. This is how the case? (11)
Textbook answer is this: when the car suddenly stopped, due to the friction between the wood and the car, also with the stop block at the bottom, but the upper block due to inertia to maintain the original state of motion, Therefore, the dumping of wood to the right.
In fact, small cars in this case is due to the dumping of wood Moment's sake. If the ground as the reference, the car on the block of wood in the center of friction in terms of a clockwise rotation of the moment, the right to block the dumping. If the car as the reference when the car is braking baffle is a non-inertial system, the role of wood (re
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