How to calculate the uniform inertial force concentration
Publish: 2021-04-27 19:38:06
1. In the linear motion, f inertia = - Ma, in the uniform rotation reference frame, f inertia = MRW ^ 2, R is outward along the radius. If the object still moves in the rotating reference frame, it will also be affected by the Coriolis force, fko = 2mwv, where V is the velocity of the object relative to the rotating reference frame.
2. Inertial force means that when the object accelerates, the inertia will make the object tend to maintain the original state of motion. If the object is taken as the coordinate origin, it looks as if there is a force in the opposite direction acting on the object, so it is called inertial force. Because the inertial force does not exist, only the force that accelerates the object actually exists, so the inertial force is also called the imaginary force. Its concept is put forward because Newton's law of motion is not applicable in non inertial system. But for the convenience of thinking, it can be assumed that in this non inertial frame, in addition to the forces caused by interaction, there is also a force caused by the non inertial frame inertial force. When there is an acceleration a in the system, the magnitude of the inertial force follows the formula: F = - MA (M is the mass of the object)
for example, when the bus brakes, the people on the bus lean forward because of the inertia, and the people on the bus seem to have a force pushing them forward, which is called inertial force. However, only the friction force acting on the brakes and tires of the bus makes the bus slow down. In fact, there is no force to push the passengers forward, which is just the phenomenon of inertia in different coordinate systems
the introction of inertial force is a great shame of Newton mechanics. It is an imaginary force introced to make up for the fact that the motion of objects in non inertial reference frame does not meet Newton's law of motion
imagine a stationary train with a small ball on a smooth table in the carriage. The ball was originally stationary; Now the train starts to accelerate. In the view of the people on the ground (obviously he chose an inertial reference frame - ground), the ball does not move. But in the view of the people on the train, the ball moves in the direction opposite to that of the train, and the acceleration is equal to that of the train, but in the opposite direction. The force analysis of the ball is carried out, The small ball is only affected by gravity and supporting force, and the two forces are balanced in the vertical direction. According to Newton's law of motion, the small ball will not move in any case, but in fact, the car will see the small ball moving. This is a limitation of Newtonian mechanics. In order to make up for this defect, we introce the concept of "inertial force". We artificially add an acceleration with the same value and opposite direction to the object in the non inertial frame. Because the "acceleration" is caused by inertia, the force that causes the "acceleration" is called inertial force, In this way, the phenomenon observed by people on the train can be explained formally. This is just to study the problem by applying Newton's law of motion in non inertial frame. In fact, inertia is the property of the object itself, not the force.
for example, when the bus brakes, the people on the bus lean forward because of the inertia, and the people on the bus seem to have a force pushing them forward, which is called inertial force. However, only the friction force acting on the brakes and tires of the bus makes the bus slow down. In fact, there is no force to push the passengers forward, which is just the phenomenon of inertia in different coordinate systems
the introction of inertial force is a great shame of Newton mechanics. It is an imaginary force introced to make up for the fact that the motion of objects in non inertial reference frame does not meet Newton's law of motion
imagine a stationary train with a small ball on a smooth table in the carriage. The ball was originally stationary; Now the train starts to accelerate. In the view of the people on the ground (obviously he chose an inertial reference frame - ground), the ball does not move. But in the view of the people on the train, the ball moves in the direction opposite to that of the train, and the acceleration is equal to that of the train, but in the opposite direction. The force analysis of the ball is carried out, The small ball is only affected by gravity and supporting force, and the two forces are balanced in the vertical direction. According to Newton's law of motion, the small ball will not move in any case, but in fact, the car will see the small ball moving. This is a limitation of Newtonian mechanics. In order to make up for this defect, we introce the concept of "inertial force". We artificially add an acceleration with the same value and opposite direction to the object in the non inertial frame. Because the "acceleration" is caused by inertia, the force that causes the "acceleration" is called inertial force, In this way, the phenomenon observed by people on the train can be explained formally. This is just to study the problem by applying Newton's law of motion in non inertial frame. In fact, inertia is the property of the object itself, not the force.
3. In the inertial system, the acceleration of that person is the same as that of a car, which has nothing to do with friction.
4.
The size of inertia is only related to the mass of the object. Inertia is directly proportional to the mass of the object. In physics, inertia is the property of the object to resist the change of its motion state. The inertia of an object can be measured by its mass. The greater the mass, the greater the inertia
More specifically, Newton's first law shows that there are some reference frames in which objects that are not subject to external forces keep still or move in a straight line at a constant speed, and the principle of inertia is the basic principle of classical mechanics 
extended data:
all objects have inertia, which has nothing to do with whether they move or bear force. It is an attribute of an object. An object has the property of keeping the original motion (or static) state, which is called inertia. All objects have inertia
points for attention when calculating inertia:
1. Inertia is not equal to the law of inertia. Inertia is the nature of the object itself, and the law of inertia is about the relationship between motion and force (force is not the reason to maintain the motion of the object, force is the reason to change the motion of the object)
Inertia is an inherent attribute of an object. We can't say "get inertia" because of inertia, but "have inertia" correctly5. Non inertial reference frame
where Newton's first law holds, the reference frame is called inertial reference frame, or inertial reference frame for short. Any reference frame that is stationary or moving in a straight line at a constant speed relative to the inertial frame is an inertial frame. Without considering the rotation of the earth and studying the motion of the object in a short time, the earth can be regarded as an inertial system with good approximation. Any reference system that Newton's first law does not hold is called non inertial reference system, and all reference systems that accelerate relative to inertial reference system are non inertial reference system. When considering the rotation of the earth, the earth is a non inertial frame. In the non inertial system, the motion of the object does not follow Newton's second law, but after introcing the concept of inertial force, we can use Newton's second law to solve the dynamic problems
one, Inertial force in linear system
referred to as inertial force, for example, in the accelerating car, the passengers feel as if they are subjected to a force that makes them backward. This force is inertial force, and its magnitude is equal to the proct of the mass m of the object and the acceleration a of non inertial system relative to inertial system, and its direction is opposite to a. The formula shows that the inertia force F is inertia = - Ma, but it should be noted that the inertia force is only a hypothetical force and does not exist in fact, so it is impossible to find out what it is applied by, and therefore its reaction force is impossible to be found. The inertial force originates from the inertia of the object, which is the embodiment of the inertia of the object in the non inertial frame
2, The inertial force in the rotating system
is called inertial centrifugal force for short. The direction of the inertial force always points away from the axis. Its size is equal to the proct of the mass m of the object and the acceleration a of the non inertial system relative to the inertial system. If at angular velocity ω In the rotating reference frame, if the distance between the particle and the rotation axis is r, then:
F = M ω 2R.
if the object moves at a certain speed relative to the uniform rotation reference frame, the object will be subjected to another inertial force besides inertial centrifugal force, which is called Coriolis force, or Coriolis force for short.
where Newton's first law holds, the reference frame is called inertial reference frame, or inertial reference frame for short. Any reference frame that is stationary or moving in a straight line at a constant speed relative to the inertial frame is an inertial frame. Without considering the rotation of the earth and studying the motion of the object in a short time, the earth can be regarded as an inertial system with good approximation. Any reference system that Newton's first law does not hold is called non inertial reference system, and all reference systems that accelerate relative to inertial reference system are non inertial reference system. When considering the rotation of the earth, the earth is a non inertial frame. In the non inertial system, the motion of the object does not follow Newton's second law, but after introcing the concept of inertial force, we can use Newton's second law to solve the dynamic problems
one, Inertial force in linear system
referred to as inertial force, for example, in the accelerating car, the passengers feel as if they are subjected to a force that makes them backward. This force is inertial force, and its magnitude is equal to the proct of the mass m of the object and the acceleration a of non inertial system relative to inertial system, and its direction is opposite to a. The formula shows that the inertia force F is inertia = - Ma, but it should be noted that the inertia force is only a hypothetical force and does not exist in fact, so it is impossible to find out what it is applied by, and therefore its reaction force is impossible to be found. The inertial force originates from the inertia of the object, which is the embodiment of the inertia of the object in the non inertial frame
2, The inertial force in the rotating system
is called inertial centrifugal force for short. The direction of the inertial force always points away from the axis. Its size is equal to the proct of the mass m of the object and the acceleration a of the non inertial system relative to the inertial system. If at angular velocity ω In the rotating reference frame, if the distance between the particle and the rotation axis is r, then:
F = M ω 2R.
if the object moves at a certain speed relative to the uniform rotation reference frame, the object will be subjected to another inertial force besides inertial centrifugal force, which is called Coriolis force, or Coriolis force for short.
6. Inertial force concentration refers to the inertial force of unit length (or unit area, or unit volume, which should be determined according to the specific problem).
7. Inertial force inertial force refers to when the object accelerates, the inertia will make the object tend to maintain the original state of motion. If the object is taken as the coordinate origin, it looks as if there is a force in the opposite direction acting on the object, so it is called inertial force. Because the inertial force does not exist, only the force that accelerates the object actually exists, so the inertial force is also called the imaginary force. Its concept is put forward because Newton's law of motion is not applicable in non inertial frame. But for the convenience of thinking, it can be assumed that in this non inertial frame, in addition to the forces caused by interaction, there is also a force caused by the non inertial frame inertial force. When there is an acceleration a in the system, the magnitude of the inertial force follows the formula: F = - MA (M is the mass of the object)
for example, when the bus brakes, the people on the bus lean forward because of the inertia, and the people on the bus seem to have a force pushing them forward, which is called inertial force. However, only the friction force acting on the brakes and tires of the bus makes the bus slow down. In fact, there is no force to push the passengers forward, which is just the phenomenon of inertia in different coordinate systems
the introction of inertial force is a great shame of Newton mechanics. It is an imaginary force introced to make up for the fact that the motion of objects in non inertial reference frame does not meet Newton's law of motion
imagine a stationary train with a small ball on a smooth table in the carriage. The ball was originally stationary; Now the train starts to accelerate. In the view of the people on the ground (obviously he chose an inertial reference frame - ground), the ball does not move. But in the view of the people on the train, the ball moves in the direction opposite to that of the train, and the acceleration is equal to that of the train, but in the opposite direction. The force analysis of the ball is carried out, The small ball is only affected by gravity and supporting force, and the two forces are balanced in the vertical direction. According to Newton's law of motion, the small ball will not move in any case, but in fact, the car will see the small ball moving. This is a limitation of Newtonian mechanics. In order to make up for this defect, we introce the concept of "inertial force". On an object in a non inertial frame, we think that an acceleration equal to the value of the non inertial frame and in the opposite direction is added. Because the "acceleration" is caused by inertia, the force that causes the "acceleration" is called inertial force, In this way, the phenomenon observed by people on the train can be explained formally. This is just to study the problem by applying Newton's law of motion in non inertial frame. In fact, inertia is the property of the object itself, not the force
the inertia force can explain why the resistance is less than the force, while the reaction force is equal to the force
in the study of the motion of the earth's surface atmosphere and water, the geostrophic deflection force is often used as an inertial force. It is also very useful to study the motion of stars in space science, such as why asteroids are torn when they are close to Jupiter (the interaction of inertial force and gravity makes asteroids split), and why comet tails have a deflection angle when they are close to the sun.
for example, when the bus brakes, the people on the bus lean forward because of the inertia, and the people on the bus seem to have a force pushing them forward, which is called inertial force. However, only the friction force acting on the brakes and tires of the bus makes the bus slow down. In fact, there is no force to push the passengers forward, which is just the phenomenon of inertia in different coordinate systems
the introction of inertial force is a great shame of Newton mechanics. It is an imaginary force introced to make up for the fact that the motion of objects in non inertial reference frame does not meet Newton's law of motion
imagine a stationary train with a small ball on a smooth table in the carriage. The ball was originally stationary; Now the train starts to accelerate. In the view of the people on the ground (obviously he chose an inertial reference frame - ground), the ball does not move. But in the view of the people on the train, the ball moves in the direction opposite to that of the train, and the acceleration is equal to that of the train, but in the opposite direction. The force analysis of the ball is carried out, The small ball is only affected by gravity and supporting force, and the two forces are balanced in the vertical direction. According to Newton's law of motion, the small ball will not move in any case, but in fact, the car will see the small ball moving. This is a limitation of Newtonian mechanics. In order to make up for this defect, we introce the concept of "inertial force". On an object in a non inertial frame, we think that an acceleration equal to the value of the non inertial frame and in the opposite direction is added. Because the "acceleration" is caused by inertia, the force that causes the "acceleration" is called inertial force, In this way, the phenomenon observed by people on the train can be explained formally. This is just to study the problem by applying Newton's law of motion in non inertial frame. In fact, inertia is the property of the object itself, not the force
the inertia force can explain why the resistance is less than the force, while the reaction force is equal to the force
in the study of the motion of the earth's surface atmosphere and water, the geostrophic deflection force is often used as an inertial force. It is also very useful to study the motion of stars in space science, such as why asteroids are torn when they are close to Jupiter (the interaction of inertial force and gravity makes asteroids split), and why comet tails have a deflection angle when they are close to the sun.
8. If an object is in the inertial reference frame, it will not be subject to inertial force. For example, if you use the stationary ground as the reference frame to analyze any object, no matter in any state (stationary, uniform, accelerating), it will not be subject to inertial force. But if you choose non inertial reference frame, no matter the object is in any state of motion, it is subject to inertial force. For example, if you are in an accelerating car with an acceleration of a, and take the car as the reference frame (i.e. assuming the car is stationary), you will be subjected to two forces, one is the thrust of the car armchair on you, and the other is that the inertial force you receive is opposite to the thrust. The two forces are balanced, so you are stationary relative to the car. To sum up, the generation of inertial force is only related to the reference frame you choose, and there is no inertia with the specific motion state of the object. As for the magnitude of inertial force and the reference frame, it is - Ma, M is the mass of the object, a is the acceleration of the reference frame, and a minus sign means the acceleration direction of the reference frame is opposite.
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