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Im lost on forming the equation for this problem. Combination of angular momentum problems have been fairly easy using Li/Lf, I thought I would try something similiar like this:

Li=m*v for the momentum of the object, and nothing for the cylinder since it is at rest

Lf= (1/2)m1*R^2 + m2R^2

Where m1 is the mass of the cylinder and m2 that of the object.

Then as usual doing w=Li/Lf, however this produces a wrong answer. I think Im missing a key concept here in translating linear momentum to angular momentum because what Im doing is turning out very wrong.

Thanks