Equations of Motion: When to Use & Point Object Necessity

In summary: 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. In summary, the three equations of motion are: v^2 = u^2 +2as s = ut + 1/2 at^2 v= uat.
  • #1
kay
60
2
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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  • #2
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.
 
  • #3
[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
 
  • #4
The suvat equations are valid for situations with constant acceleration.
 
  • #5
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?
 
  • #6
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.
 
  • #7
The SUVAT equations can be used to calculate instantaneous velocities but be careful if the problem asks about average velocity.
 
  • #8
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.
 

FAQ: Equations of Motion: When to Use & Point Object Necessity

What are equations of motion?

Equations of motion are mathematical formulas that describe the motion of an object in terms of its position, velocity, and acceleration over time. They are used to analyze and predict the behavior of objects in motion.

When should equations of motion be used?

Equations of motion should be used whenever we want to understand the behavior of an object in motion. They are particularly useful when the motion is not constant or when the forces acting on the object are changing.

What is the difference between a point object and an extended object?

A point object is a simplified model of an object that is treated as having no size or shape, and all of its mass is concentrated at a single point. An extended object is a more realistic model that takes into account the size and shape of the object, and the distribution of its mass.

Why is it necessary to use point objects in equations of motion?

Point objects are often used in equations of motion because they simplify the calculations and make the equations easier to solve. They are also useful for analyzing the motion of objects that are moving in a straight line with constant acceleration.

Can equations of motion be used for all types of motion?

No, equations of motion are only applicable to certain types of motion, such as linear motion (motion in a straight line) and uniform circular motion (motion in a circular path at a constant speed). They cannot be used for more complex types of motion, such as rotational or non-uniform circular motion.

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