1. The problem statement, all variables and given/known data Consider a planet with uniform mass density p. If the planet rotates too fast, it will fly apart. Show that the minimum period of rotation is given by: T = (3 pi)^(1/2) ......(G p)^(1/2) What is the minimum T if p = 5.5 g/cm^3? 2. Relevant equations T = 2 pi r ........v v = (G m)^(1/2) ........(r)^(1/2) 3. The attempt at a solution I combined the two equations to have: T = 2 pi (r)^(3/2) .......(G m)^(1/2) I found dr/dT to have: 3 pi (r)^(1/2) (G m)^(1/2) What am I doing incorrectly?