Two circles geometry problems
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Jeah MK
il 4 Gen 2022
Risposto: Matthew Mishrikey
il 4 Gen 2022
Circle1 with radius
intersects with Circle 2 with radius
. The Circle 1 has center
, and Circle 2 has the center
at the initial point. When the Circle 1 rotates with an angle θ, the Circle 2 that is attached to the Circle 1 change its coordination of the centre from
to$(-d\cos\theta, -d\sin\theta)$.
![](https://www.mathworks.com/matlabcentral/answers/uploaded_files/852805/image.png)
![](https://www.mathworks.com/matlabcentral/answers/uploaded_files/852810/image.png)
![](https://www.mathworks.com/matlabcentral/answers/uploaded_files/852815/image.png)
![](https://www.mathworks.com/matlabcentral/answers/uploaded_files/852820/image.png)
![](https://www.mathworks.com/matlabcentral/answers/uploaded_files/852825/image.png)
I have a problem determining
as shown in the figure.
![](https://www.mathworks.com/matlabcentral/answers/uploaded_files/852830/image.png)
I am not a mathematician. So, take me easy! Thank in advance !
![](https://www.mathworks.com/matlabcentral/answers/uploaded_files/852835/image.png)
![](https://www.mathworks.com/matlabcentral/answers/uploaded_files/852840/image.png)
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Matthew Mishrikey
il 4 Gen 2022
Not clear from the second drawing what the dl of interest is.
Let's assume dl is the distance between the left edge of each circle.
Then
d_l = -r_1 - (-d cos \theta - r_2)
Therefore
d_l / d_\theta = d sin \theta
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