A smooth table is placed horizontally and a spring of unstretched length `i_(0)` and force constank k has one end fixed to its center. To the other end of the spring is attached a mass m which is making n revolutions per second around the center. Show that the radius r of this unifrom circular motion is `kl_(0)//(k-4 pi^(2)mn^(2))` and the tension T in the spring is `4pi^(2)mkl_(0)n^(2)//(k-4pi^(2)mn^(2))`
