Newton's laws and non inertial frame of reference

In summary, Newton's laws do not hold for non-inertial frames because in these frames, objects without any external forces acting on them still accelerate. To account for this, fictitious forces must be introduced, which do not follow Newton's third law. While it is possible to use Newton's laws in non-inertial frames, it requires careful consideration and complicates the system.
  • #1
raknath
61
0
Hi all


Why do we actually say that Newton's laws do not hold for non inertial frames. can you folks give me an example of how Newton's laws collapse in an non inertial frame(if they do at all)
 
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  • #2
raknath said:
Why do we actually say that Newton's laws do not hold for non inertial frames. can you folks give me an example of how Newton's laws collapse in an non inertial frame(if they do at all)

In accelerated frames objects with no forces acting on them accelerate. So you have to introduce "http://en.wikipedia.org/wiki/Fictitious_force" " to make Newtons laws work again.
 
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  • #3
It's not that Newton's laws fail it's just that in a non-inertial reference frame one cannot consider their system to be 'free of external forces' and things get complicated. However, it can all be worked out using Newton's laws you just have to be very careful.
 
  • #4
A.T. said:
In accelerated frames objects with no forces acting on them accelerate. So you have to introduce "http://en.wikipedia.org/wiki/Fictitious_force" " to make Newtons laws work again.
And the fictitious forces do not obey Newton's 3rd law, so in patching the 1st and 2nd laws that way the 3rd law doesn't work any more.
 
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1. What are the three laws of motion in Newton's laws?

The three laws of motion in Newton's laws are:
1. An object at rest will remain at rest, and an object in motion will remain in motion at a constant velocity, unless acted upon by an external force.
2. The force acting on an object is equal to its mass multiplied by its acceleration (F=ma).
3. For every action, there is an equal and opposite reaction.

2. How do Newton's laws apply to non-inertial frames of reference?

In non-inertial frames of reference, objects may appear to accelerate even when no external forces are acting on them. This is due to the acceleration of the frame itself. However, Newton's laws still hold true in these frames of reference if we include fictitious forces to account for the acceleration of the frame.

3. What is a non-inertial frame of reference?

A non-inertial frame of reference is a frame of reference that is accelerating or rotating. In these frames, objects may appear to experience forces even when no external forces are acting on them.

4. What is the difference between inertial and non-inertial frames of reference?

An inertial frame of reference is one in which Newton's laws of motion hold true without the need for fictitious forces. In contrast, a non-inertial frame of reference requires the inclusion of fictitious forces to accurately describe the motion of objects.

5. How do we account for the effects of gravity in Newton's laws?

In Newton's laws, the force of gravity is considered an external force acting on an object. This force is proportional to the mass of the object and the acceleration due to gravity. It is included in the second law (F=ma) and can be used to calculate the motion of objects under the influence of gravity.

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