A $\backslash (79\backslash$mathrm$\{$~g$\},34-\backslash$mathrm$\{$cm$\}\backslash )-$long rod hangs vertically on a frictionless, horizontal axle passing through its center. A $12$ g ball of clay traveling horizontally at $\backslash (2\mathrm{.}5\backslash$mathrm$\{$~m$\}/\backslash$mathrm$\{$s$\}\backslash )$ hits and sticks to the very bottom tip of the rod.

Part A

To what maximum angle, measured from vertical, does the rod $($with the attached ball of clay$)$ rotate?

Express your answer in degrees.

View Available Hint$($s$)$

$\backslash (\backslash$theta$=\backslash )$

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