Curved Path: Is it Possible Without a Force? | Reference Frame Dependence

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A particle can describe a curved path without an acting force if observed from a non-inertial reference frame, where pseudo forces may be considered. The discussion highlights that the perception of curvature is dependent on the chosen frame of reference, particularly in accelerated frames. The concept of a "curved path" is explored, suggesting that it can be defined through non-affine transformations of coordinates. The validity of F=ma in such frames is questioned, emphasizing the importance of distinguishing between inertial and non-inertial perspectives. Ultimately, the relationship between force, motion, and reference frames is complex and context-dependent.
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Homework Statement


Is it possible for a particle to describe a curved path if no force acts on it? Is the answer reference frame dependent?
[I am sorry. I forgot that the rule says on question per thread. ]

The Attempt at a Solution


YES, when the body stays still but the frame describes a curved path. Then with respect to that frame the body will describe curves but no force would act on particle. Will we count pseudo force as a force?
 
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I guess it matters whether we are considering accelerated reference frames, or just strictly inertial reference frames.

Or put another way, do you think they are considering reference frames in which F=ma is not true?
 
ritwik06 said:

Homework Statement


Is it possible for a particle to describe a curved path if no force acts on it? Is the answer reference frame dependent?
[I am sorry. I forgot that the rule says on question per thread. ]

The Attempt at a Solution


YES, when the body stays still but the frame describes a curved path. Then with respect to that frame the body will describe curves but no force would act on particle. Will we count pseudo force as a force?
I agree with your answer. What is a "curved path", anyway? If you define it as a path for which the coordinates of points along the path are not all related by affine transformations, then all you have to do is define screwy coordinates (or, as you suggest, rotate the reference frame).
 
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