Get Help with Hibbeler Dynamics 20-7 Problem

[aero10]

Homework Statement

20-7
If the top gear B rotates at a constant rate of $$\omega$$, determine the angular velocity of gear A, which is free to rotate about the shaft and rolls on the bottom fixed gear C.

Homework Equations

V=$$\omega$$ x r
Va=Vb + $$\omega$$ x r

The Attempt at a Solution

I'm really having trouble figuring out how to start...I keep getting answers with i (and I know I am doing my cross products right, and I should be getting answers with j and k.

 

[berkeman]

Homework Statement

20-7
If the top gear B rotates at a constant rate of $$\omega$$, determine the angular velocity of gear A, which is free to rotate about the shaft and rolls on the bottom fixed gear C.

Homework Equations

V=$$\omega$$ x r
Va=Vb + $$\omega$$ x r

The Attempt at a Solution

I'm really having trouble figuring out how to start...I keep getting answers with i (and I know I am doing my cross products right, and I should be getting answers with j and k.

I think we need a drawing or sketch, before we'll be of much help on this one.

Welcome to the PF, BTW.

 

[aero10]

Thank you. Here is a pic of the problem...

http://img12.imageshack.us/img12/9720/dsc00142ya.jpg

Uploaded with ImageShack.us

 

[aero10]

I got the answer in the back of the book, but I am not confident on the methods by which I got it. So if anyone needs help on this question, I will be able to give concrete reasoning after tomorrow.