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

AI Thread Summary
To determine the angle θ for a sliding block that sticks to a pivoting rod, conservation of energy is applied to find the angular velocity (ω) of the rod at the moment of impact. The block, weighing 60 g, slides down a height of 20 cm before colliding with the rod, which has a mass of 105 g and a length of 40 cm. The initial and final angular momentum equations are utilized to analyze the system's motion. The discussion highlights the importance of correctly applying these principles to solve for θ. Ultimately, the solution was reached successfully.
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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I finally solved it! Thanks anyway!
 
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