A 1-kg disk slides on a smooth horizontal table and is attached to a string that passes through a hole in the table.
a) If the mass moves in a circular path of constant radius r = 1 m with a velocity of 2 m/s, what is the tension, T?
b)Starting from the initial condition described in part (a), the tension T is increased in such a way that the string is pulled through the hole at a constant rate until r = 0.5 m. Determine the value of T as a function of r while this is taking place.