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January 15th, 2008, 09:42 AM   #1
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I'm scratching my head

I'm new to this forum, so don't know step one in getting a diagram, so if somebody can respond to that, and THEN, let me try to explain this math problem in generic words.

I have two wheels spaced 7.0 feet apart. The wheel on the left is 10 inches in diameter and the one on the right is 15 inches in diameter.

There is a linkage, a bar that is attached to the left wheel on it's RIGHT HAND EDGE, and this same bar/linkage is attached to the RIGHT wheel at it's TOP. The wheel hubs are located vertically such that the bar/linkage is HORIZONTAL; that is the Left hand wheel hub is at the same altitude of the TOP OF THE RIGHT HAND WHEEL. so if I stated this correctly, the length of the bar/linkage is 7 feet [84.0 inches MINUS the radius of the left wheel, which is 5 inches, so the bar should be 79 inches long].

I am only interested in the left hand wheel rotating 90 degrees in the CW direction, and the right hand wheel "following" it.

Now, if I described this problem correctly w/o any math errors, ha, my question is NOT, the relationship between the left hand turning degrees vs the right hand wheel resulting turn, [I CAN determine it], but the question is: Can this be solved mathematically w/o resorting to "guessing" the answers and substitution to see if all geometry "works out"? I cannot seem to DO it mathematically.

Puzzled.

LarryR : )
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January 15th, 2008, 10:54 PM   #2
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I got it

I guess posting it got me MORE intrigued, and I HAD to solve it. So I DID It requires only Algebra 101 and Trig 101, but IT IS TEDIOUS.

Phew.......... try it someime when you're bored.

LarryR : )
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