A puck, mass m, on the end of a (thin, light) string rotates in a circle of radius r_0
at a speed v_0
frictionless table. The radius of the circle is slowly reduced from its initial value by pulling the string
through a hole in the table.
A. Hence write down an expression for the speed of the mass when the radius is reduced to some radius
B. Write down an expression for the tension in the string and show it goes like 1/r^3
The Attempt at a Solution
i split the above problem into two systems. rotational and kinematic. the kinetic energy is
0.5mrw^2-0.5^mr_0w^2. For the rotational system i am unsure how this is linked to tension ?. Is my starting point correct ?.