$13\mathrm{.}198$Blocks A and B are connected by a cord that passes over pulleys and through a collar C$.$The system is released from rest when x $=1\mathrm{.}7$m$.$ As block A rises, it strikes collar C withperfectly plastic impact $($e $=0).$ After impact,the two blocks and the collar keep moving until they come to a stop and reverse their motion. As A and C move down, C hits the ledge and blocks $4$ and B keep moving until they come to another stop. Determine $($a$)$ the velocity of the blocks and collar immediately after $1$ hits C$.($b$)$ the distance the blocks and collar move after the impact before coming to a stop. $($c$)$ the value of x at the end of one complete cycle.