Help Plane motions rolling wheel

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SUMMARY

The discussion focuses on calculating the angular velocity of points BC and CD on a rolling cylinder moving to the right at a speed of 10 inches per second. The user utilizes the formula Vb = Vc/b + Vc and determines the radius for Vb to be 9 inches. The user struggles with visualizing the geometry of the problem, particularly in drawing the correct angles and locating point D, leading to incorrect answers. The calculated angular velocity for BC is 1 revolution per second.

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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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