In this problem we consider the problem of a bead of mass m threaded through a frictionless

wire passing through two fixed points $($x$\_(0),$y$\_(0))$ and $($x$\_(1),$y$\_(1))$y to be downwards so that $\backslash$sqrt$(2$gy$)$sv$=($ds$)/(($d$)$t$)($x$\_(0),$y$\_(0))($x$\_(1),$y$\_(1))(1)/(\backslash$sqrt$(2$g$))\backslash$int$\_($x$\_(0))^($x$\_(1))(\backslash$sqrt$(1+($y$^(\text{'}))^(2)))/(\backslash$sqrt$($y$))$dx$\backslash$theta x$=(\backslash$kappa $^(2))/(2)(\backslash$theta $-$sin$\backslash$theta $),$y$=(\backslash$kappa $^(2))/(2)(1-$cos$\backslash$theta $)\backslash$kappa $^(2)$inRy$\_(0)$