Question

Angular velocity

Answer 1

http://www.chegg.com/homework-help/questions-and-answers/find-angular-velocity-rigid-two-wheel-system-assuming-wheels-roll-without-slipping-rate-r2-q6340009

Answer 2

@TheSmartOne

Answer 3

What are we doing? Where is the question?

Answer 4

I make it \(\omega = \dfrac{\Omega}{ \sqrt{\dfrac{L^2}{(R_1 - R_2)^2} - 1}} \)

sure you can re-write that denominator in many other ways

Answer 5

What angular velocity are they talking about?
As worded, the answer to the problem is \(\vec \Omega\) itself !

I hate these problems with incorrect questions :((

Answer 6

i modelled it thusly and used similar triangles around X, which would be centre of rotation. but that required interpretation ie that wheels are vertical and attached by some linkage.

and then solved \(\vec \omega\) for \(\vec \Omega\)

agree, more cryptic than hard