
Suggestions:
- Here the omega vector is made up of two components: omega_1 about the fixed Y-axis and omega_2 about the moving z-axis.
- These two components, omega_1 and omega_2 are NOT independent due to the no-slip condition at point C. From the figure, you can see that v_B = omega_1*R as well as v_B = omega_2*r. From this you can relate omega_1 and omega_2.
- Do the usual differentiation of the omega vector to find alpha taking care to note which rotation axes are fixed and which are stationary.
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