How to Determine θ for a Sliding Block Sticking to a Pivoting Rod?

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Roddie031
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Homework Statement


In the figure below, a small 60 g block slides down a frictionless surface through height h = 20 cm and then sticks to a uniform rod of mass 105 g and length 40 cm. The rod pivots about point O through angle θ before momentarily stopping. Find θ.
(Picture attached)

Homework Equations


Li=Lf, L=I[omega]


The Attempt at a Solution


I used conservation of energy to find [omega] as the block hits the rod, but I'm not sure if that's right or where to go from there
 
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