The $\backslash (10-\backslash$mathrm$\{$g$\}\backslash )$ bullet having a velocity of $\backslash ($ v$=750\backslash$mathrm$\{$~m$\}/\backslash$mathrm$\{$s$\}\backslash )$ is fired into the edge of the $\backslash (4-\backslash$mathrm$\{$kg$\}\backslash )$ disk as shown in $($Figure $1).$ The disk is originally at rest. The rod $\backslash ($ A B $\backslash )$ has a mass of $3$ kg $.$

Figure

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

Part B

Part A

Determine the magnitude of the angular velocity of the disk just after the bullet becomes embedded into its edge.

Express your answer in radians per second to three significant figures.

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Calculate the angle $\backslash (\backslash$theta $\backslash )$ the disk will swing when it stops.

Express your answer in degrees to three significant figures.

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