The $\backslash (17\mathrm{.}5-\backslash$mathrm$\{$lb$\}\backslash )$ disk rests on the $\backslash (5-\backslash$mathrm$\{$lb$\}\backslash )$ plate. A cord is wrapped around the periphery of the disk and attached to the wall at $\backslash ($ B $\backslash ).$ A torque $\backslash ($ M$=40\backslash$mathrm$\{$lb$\}\backslash$cdot $\backslash$mathrm$\{$ft$\}\backslash )$ is applied to the disk. Assume the disk does not slip on the plate and the plate rests on the surface at $\backslash ($ D $\backslash )$ having a coefficient of kinetic friction of $\backslash (\backslash$mu$\_\{$k$\}=0\mathrm{.}2\backslash ).$ Neglect the mass of the cord. $($Figure $1)$

Determine the angular acceleration of the disk measured counterclockwise

Express your answer using three significant figures. Enter positive value if the angular acceleration is counterclockwise and negative value if the angular acceleration is clockwise.

Part B

Determine the time needed for the end $\backslash ($ C $\backslash )$ of the plate to travel $3$ ft and strike the wall. Express your answer to three significant figures and include the appropriate units.

$\backslash [$

t$=0\mathrm{.}632$

$\backslash ]$

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