Equations of Motion: When to Use & Point Object Necessity

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Discussion Overview

The discussion centers around the conditions under which the three equations of motion, commonly referred to as the SUVAT equations, can be applied. Participants explore whether it is necessary for the object in question to be treated as a point object and the implications of this assumption on calculations involving motion.

Discussion Character

  • Exploratory
  • Debate/contested
  • Technical explanation

Main Points Raised

  • Some participants clarify that the "three equations of motion" refer specifically to the SUVAT equations: v² = u² + 2as, s = ut + 1/2 at², and v = u + at.
  • It is noted that the SUVAT equations are valid under conditions of constant acceleration.
  • Some argue that there is no requirement for the body to be a point mass for the SUVAT equations to apply, suggesting they can be used for larger objects as well.
  • Others caution that while the SUVAT equations can relate position, velocity, and acceleration, using them for non-point objects complicates calculations due to the need to consider the motion of different parts of the object.
  • One participant mentions that using the SUVAT equations for instantaneous velocities requires careful consideration, especially if average velocity is involved.

Areas of Agreement / Disagreement

Participants express differing views on whether the body must be a point object for the SUVAT equations to be applicable. While some assert that it is not necessary, others highlight the complications that arise when dealing with non-point objects, indicating that the discussion remains unresolved regarding the implications of this distinction.

Contextual Notes

There are limitations in the discussion regarding the assumptions made about the nature of the objects involved and the potential complexities introduced by their physical characteristics, such as flexibility and rotation.

kay
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When can we use the three equations of motion?
Also, Is it necessary for the body we are considering to be a point object?
 
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What do you mean by "three equations of motion"? Equations of motion generally just refer to the equations that describe how a system evolves with time, it does not have to refer to a particular system and the equations will look different depending on the system.
 
[Q
Orodruin said:
What do you mean by "three equations of motion"? Equations of motion generally just refer to the equations that describe how a system evolves with time, it does not have to refer to a particular system and the equations will look different depending on the system.
I mean these:
v^2 = u^2 +2as
s = ut + 1/2 at^2
v= uat
 
The suvat equations are valid for situations with constant acceleration.
 
Orodruin said:
The suvat equations are valid for situations with constant acceleration.
So there is no condition on the body, right? That the body has to be a point mass or something?
 
kay said:
So there is no condition on the body, right? That the body has to be a point mass or something?

No, the SUVAT equations just relate position, velocity and acceleration. They work just a well for a barleycorn as the Queen Mary in that regard.
 
The SUVAT equations can be used to calculate instantaneous velocities but be careful if the problem asks about average velocity.
 
kay said:
When can we use the three equations of motion?
Also, Is it necessary for the body we are considering to be a point object?
No, it is not necessary for the body to be a point object- however, if it is not, the calculations are a bit harder- you will have to consider how the various parts of the body move relative to each other. If the object is flexible, that could be complicated! Even if the body is rigid, you would need to include possible rotation about the center of mass.
 

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