Q$2.$ The system shown is at rest when a constant $200-N$ force is applied to collar $B$ of $10-kg$ mass. $($a$)$ If the force acts through the entire motion, determine the speed of collar $B$ as it strikes the support at $C.($b$)$ After what distance $d$ should the $200-N$ force be removed if the collar is to reach support $C$ with zero velocity? $(25$ points$)$ Hint: Use Principle of Work and Energy to solve for item $($b$).$