Mechanics: Explosion of an Object Vector Diagram

In summary: The same is true of the other vectors in the equation.In summary, the conversation discusses the conservation of momentum and how it applies to a system of objects in an isolated system. It is explained that momentum is a vector and cannot be added by simply adding their magnitudes. Different methods, such as using components or graphically, can be used to add momentum vectors. However, the equation given in the conversation is incorrect as it does not specify the direction of the vectors.
  • #36
In the following diagram, consider vector R to represent the momentum before any explosion resulting in three fragments.
Consider vectors A, B and C to represent the moment of each fragment after explosion.

Note that the condition of conservation of momentum implies that vector R and the sequence of vectors A, B and C must have a common origin and end.
The momentum of the center of mass is the same before and after the explosion, whether or not the fragments are flying together or dispersing.

vec8a.png
 
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  • #37
Lnewqban said:
In the following diagram, consider vector R to represent the momentum before any explosion resulting in three fragments.
Consider vectors A, B and C to represent the moment of each fragment after explosion.

Note that the condition of conservation of momentum implies that vector R and the sequence of vectors A, B and C must have a common origin and end.
The momentum of the center of mass is the same before and after the explosion, whether or not the fragments are flying together or dispersing.

View attachment 269092
Thank you for your reply. I read the hyper physics page on vectors and found it very informative and helpful thank you 👍 So would the error in my latest diagram be that although the vectors share a common origin they do not share a common end, as P3 ends at the origin? How could I amend this because I had previously drawn that P3 ends at the end of P (see post 9) was this correct? I will redraw this diagram more clearly to show what I mean. 😁
 
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  • #38
AN630078 said:
Thank you for your reply. I read the hyper physics page on vectors and found it very informative and helpful thank you 👍 So would the error in my latest diagram be that although the vectors share a common origin they do not share a common end, as P3 ends at the origin? How could I amend this because I had previously drawn that P3 ends at the end of P (see post 9) was this correct? I will redraw this diagram more clearly to show what I mean. 😁
Exactly!
If the after-explosion vectors make a closed loop, that means that the combined or system momentum and velocity is zero, which is not what we have.
 
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  • #39
Lnewqban said:
Exactly!
If the after-explosion vectors make a closed loop, that means that the combined or system momentum and velocity is zero, which is not what we have.
Ok, yes that does make sense. Thank you very much for your reply and all of your help. I will post my amended diagram shortly 😁
 

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