- #1

jdstokes

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## Homework Statement

From the GRE 0177 practice exam:

A thin uniform rod of mass M and length L is positioned vertically above an anchored frictionless pivot point, as shown above, and then allowed to fall to the ground. With what speed does the free end of the rod strike the ground?

## The Attempt at a Solution

[itex]\frac{MgL}{2} = \frac{1}{2}I \omega^2 \implies[/itex]

[itex]MgL = \frac{1}{12} M L^2 \omega^2 \implies[/itex]

[itex]\omega = \sqrt{\frac{12g}{L}} \implies[/itex]

[itex]v_t = L\omega = \sqrt{12gL}[/itex]

Answer

[itex]v_t=\sqrt{3gL}[/itex]

Any help would be appreciated.