How to Calculate Relative Motion with Given Positions and Velocities?

AI Thread Summary
The discussion revolves around calculating the velocity V3 given the positions Z1, Z2, and Z3, along with the velocities V1 and V2. Participants express confusion over the problem's validity, suggesting that the points may not be correctly defined as being on the same link or rigid body. There is a consensus that additional information or clarification of the problem statement is necessary to proceed with the calculations. The original poster is urged to provide the complete problem wording and any relevant diagrams for better assistance. The thread highlights the importance of precise problem definitions in physics calculations.
PhysicsGenius
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Homework Statement


I am given the location of 3 points in space:
Z1= 3+3i
Z2= 7+5i
Z3= 5+5i

and the velocity of two points:
V_1= 8+0i
V_2= 7+6i

How do I find V3?

Homework Equations


V_1/2= V_1-V_2
V_3= V1+V_3/1
V_2/1= V_2-V_1

The Attempt at a Solution



I have the equations, but I just can't seem to figure out how to relate V_3 with V_2 and V_1. Can anyone help?
 
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Hi PhysicsGenius! :smile:

(try using the X2 icon just above the Reply box :wink:)

I don't understand …

V3 could be anything :confused: …

what is the complete question?​
 
Yeah, it looks like you're missing at least one piece of information about Z3.
 
that is the entire problem, it also states that the 3 points are all on the same link, if that helps
 
Last edited:
(just got up :zzz: …)
PhysicsGenius said:
that is the entire problem, it also states that the 3 points are all on the same link, if that helps

Do you mean the same line?

But that's obviously not true (unless, say, Z2 should have been 7 + 7i). :confused:
 
Being on the same link means that the distances between these points is fixed. This gives you two more independent equations:

(x1 - x2)2 + (y1 - y2)2 = (some constant),
(x1 - x3)2 + (y1 - y3)2 = (some other constant).
 
PhysicsGenius said:
that is the entire problem, it also states that the 3 points are all on the same link, if that helps

You mean that Z1 Z2 and Z3 are three points on a rigid body?

But then (Z1 - Z2) should be perpendicular to (V1 - V2), which it isn't :confused: …
PhysicsGenius said:
Z1= 3+3i
Z2= 7+5i
Z3= 5+5i
…
V_1= 8+0i
V_2= 7+6i
 
OK, I think I have figured out why this problem has baffled everyone, so far. It is a bogus problem. PhysicsGenius made up those numbers listed in post 1, pretending it is the given problem statement. PhysicsGenius is seemingly currently unaware that you cannot just arbitrarily type numbers. The numbers in post 1 are physically impossible.

PhysicsGenius: Please post the exact, full wording of the given problem statement. And proofread it carefully to ensure there are no typos. Also, please post any diagram, if it has one. I think we will be able to help you, if you do this.
 

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