I have a real life circle problem on my hands, and although Im not the best at math I can apply simplified equations to my hobby. I have a picture below with 3 circles:
C1 Diameter = 25
C1 is a metal tube with Diameter 25mm and length 300mm. However length is irrelevant to my problem I just want you to get a good picture of what Im trying to work out.
C2 Diameter = 25
C2 is also a metal tube as described above.
C3 Diameter = 50
C3 is a shopping trolley wheel
Y = 5
Y is the distance between the right arc of C1 and left arc of C2. These two circles will never touch, by design the tubes are bolted not to touch. And they are also leveled one will never be higher than other.
X = ?
This is the distance Im trying to work out.
The only way I can describe X is: The drop of C3 before it makes contact with C1 & C2.
If anyone can help me or direct me to where I can find an equation to always be able to workout 'X' if C1, C2, C3 & Y where to change in value.
Thanks in advance