Part A

If the system is released from rest, determine the speed of the $20$ kg cylinder $\backslash ($ A $\backslash )$ after $\backslash ($ A $\backslash )$ has moved downward a distance of $4$ m $.$ The differential pulley has a mass of $14$ kg with a radius of gyration about its center of mass of $\backslash ($ k$\_\{$O$\}=110\backslash$mathrm$\{$~mm$\}\backslash ).($Figure $1)$

Express your answer with the appropriate units.

Figure

Request Answer

Part B

Determine the speed of the $20$ kg cylinder $\backslash ($ B $\backslash )$ after $\backslash ($ A $\backslash )$ has moved downward a distance of $4$ m $.$

Express your answer with the appropriate units.

$\backslash [$

v$\_\{$B$\}=$

$\backslash ]$