Property of for same acceleration

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    Acceleration Property
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Discussion Overview

The discussion revolves around the property of two bodies connected together, specifically addressing the scenario where one body accelerates and the other does as well. Participants explore whether this property has a specific name and the conditions under which it holds true, including examples like a person in an accelerating elevator.

Discussion Character

  • Conceptual clarification, Technical explanation, Debate/contested

Main Points Raised

  • One participant inquires if there is a specific name for the property that two connected bodies share the same acceleration when one accelerates.
  • Another participant notes that for two masses connected by a rope or string to have the same acceleration, the rope or string must not stretch, implying a need for fixed distance and orientation.
  • A later reply questions the applicability of this condition to the scenario of a person inside an accelerating elevator.
  • One participant suggests that this phenomenon is referred to as rigid motion or, in the context of relativity, Born rigid motion.

Areas of Agreement / Disagreement

Participants express differing views on whether the property has a specific name and the conditions required for it to hold, indicating that multiple competing views remain in the discussion.

Contextual Notes

There are unresolved assumptions regarding the definitions of rigid motion and the implications of stretching in the context of connected bodies.

andyrk
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Does the property that two bodies connected together and if one of them is accelerating with some acceleration the second also accelerates with the same acceleration, have a name? Like for example, if there is a person in an elevator and the elevator is accelerating with acceleration ##a##, then the person also accelerates with acceleration ##a##. Is there a name for this property? Or is not a property because it is so logical that it is said so because it makes sense?
 
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When to masses are connected with a rope or string, the condition is that the rope or string not stretch.

More generally, there needs to be a fixed distance and orientation between the two objects the for their acceleration to be the same.
 
Dr. Courtney said:
When to masses are connected with a rope or string, the condition is that the rope or string not stretch.

More generally, there needs to be a fixed distance and orientation between the two objects the for their acceleration to be the same.
What about the case for a person inside an accelerating elevator?
 
It is called rigid motion or, in relativity, Born rigid motion.
 

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