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Problem: $$

$26$

$($of $30)$

Do not round intermediate answers. Give your final answer$($s$)$ to three decimal places. Check your units.

The wheel consists of a $10-kg$ rim of $160-mm$ radius with hub and spokes of negligible mass. The wheel is mounted on the $4$ kg yoke $OA$ with mass center at $G$ and with a radius of gyration about $O$ of $310$ mm $.$ If the assembly is released from rest in the horizontal position shown and if the wheel rolls on the circular surface without slipping, compute the velocity of point A when it reaches $A^{\text{'}}.$

v of $A=\frac{m}{sec}$