Hi everyone;
I came across this problem while working on a mechanism simulation. Please take a look at this picture:
As the angle marked in the picture changes, a and b change as well; but the length c is known and always remains the same. It just sort of slides up and down on the circular arc as a and b change. Both circles are of the same (known) diameter D and a is always parallel to b. The length of a and b is always greater than the (known) distance between the circles (meaning that for example a cannot go below the bolded horizontal line in the picture). What I'm trying to find is some kind of dependency between the angle theta and the ratio b/a so that knowing the angle I would be able to calculate a and b. Is there any relationship between those parameters that could be defined? All I can say is that it's not linear.
Help appreciated.
I came across this problem while working on a mechanism simulation. Please take a look at this picture:
As the angle marked in the picture changes, a and b change as well; but the length c is known and always remains the same. It just sort of slides up and down on the circular arc as a and b change. Both circles are of the same (known) diameter D and a is always parallel to b. The length of a and b is always greater than the (known) distance between the circles (meaning that for example a cannot go below the bolded horizontal line in the picture). What I'm trying to find is some kind of dependency between the angle theta and the ratio b/a so that knowing the angle I would be able to calculate a and b. Is there any relationship between those parameters that could be defined? All I can say is that it's not linear.
Help appreciated.