Help Plane motions rolling wheel

AI Thread Summary
The discussion centers on calculating the angular velocity of points BC and CD on a rolling cylinder moving to the right at 10 inches per second. The user is struggling with the correct application of formulas and the geometry involved, particularly in drawing the triangle accurately. They mention using the formula Vb = Vc/b + Vc and calculating a radius of 9 inches. The user is confused about the placement of point D in the figure, which is affecting their ability to find the correct angles and ultimately the correct answers. The user reports obtaining 1 rev/sec for BC but is uncertain about its accuracy.
desistyle19
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Help! Plane motions rolling wheel

Hi there, I am not having any luck with this question at all and am hoping that there is someone out there that can help me out... here goes:

The below cyclinder rolls to the right at 10 in/sec. Determine the angular velocity of BC and CD

I am actually trying to prepare for a midterm and am not getting anywhere close to the answers that I am supposed to get.

I am using the following formulas: Vb= Vc/b + Vc
I know for the radius of Vb that would be 12" + 6"/2 = 9"

the biggest challenge for me I guess is when drawing the triangle, I am not getting the right angles, therefore, my answer is not correct.
 

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Where is D in the figure? I get 1 rev/sec for BC.
 

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