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Required Information

Problem $15\mathrm{.}053-$ Two disks connected by an arm

Arm $\backslash ($ A C B $\backslash )$ rotates about Point $\backslash ($ C $\backslash )$ with an angular velocity of $\backslash (48\backslash$mathrm$\{$rad$\}/\backslash$mathrm$\{$s$\}\backslash )$ counterclockwise. Two friction disks $\backslash ($ A $\backslash )$ and $\backslash ($ B $\backslash )$ are pinned at their centers to arm $\backslash ($ A C B $\backslash )$ as shown. Know that the disks roll without slipping at the surfaces of contact.

Problem $15\mathrm{.}053.$a $-$ Angular velocity of the disk

Determine the angular velocity of disk $\backslash ($ B $\backslash ).$

The angular velocity of disk $\backslash ($ B $\backslash )$ is $\backslash (\backslash$mathrm$\{$rad$\}/\backslash$mathrm$\{$s$\}\backslash$curvearrowright $\backslash ).$