Property of for same acceleration

In summary, the property where two bodies connected together will have the same acceleration if one of them is accelerating is known as rigid motion or, in relativity, Born rigid motion. This applies to situations where two masses are connected with a rope or string, as long as the rope or string does not stretch and there is a fixed distance and orientation between the two objects. This property also applies to a person in an accelerating elevator.
  • #1
andyrk
658
5
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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  • #2
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.
 
  • #3
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?
 
  • #4
It is called rigid motion or, in relativity, Born rigid motion.
 

What does "Property of for same acceleration" mean?

"Property of for same acceleration" refers to the fact that objects with the same acceleration will exhibit similar properties, such as velocity and displacement, as they move through space.

What is acceleration?

Acceleration is the rate at which an object's velocity changes over time. It is calculated by dividing the change in velocity by the change in time.

How is acceleration related to force?

According to Newton's Second Law of Motion, force is directly proportional to acceleration. This means that the greater the force applied to an object, the greater its acceleration will be.

Can objects with different masses have the same acceleration?

Yes, objects with different masses can have the same acceleration, as long as the net force acting on them is the same. This is because acceleration is dependent on force, not mass.

How is acceleration measured?

Acceleration is typically measured in units of meters per second squared (m/s²) or feet per second squared (ft/s²). It can be measured using tools such as accelerometers or by analyzing an object's position and velocity over time.

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