The $3$ lb ball located at $\backslash ($ A $\backslash )$ is released from rest and travels down the curved path. $($Figure $1)$

If the ball exerts a normal force of $7$ lb on the path when it reaches point $\backslash ($ B $\backslash ),$ determine the angular momentum of the ball abou the center of curvature, point $\backslash ($ O $\backslash ).$ Hint: Neglect the size of the ball. The radius of curvature at point $\backslash ($ B $\backslash )$ must first be determined.

Express your answer to three significant figures and include the appropriate units.

$\backslash [$

H$\_\{$B$\}=\backslash$square

$\backslash ]$

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