1. The problem statement, all variables and given/known data There is a bucket with a leak in it in verticle SHM. What is the rate that the period changes with time? dm/dt = 2 g/s bucket = 2 kg total water = 10kg starting amplitude = 3cm k=125 N/m 2. Relevant equations T=2pi*sqrt(m/k) 3. The attempt at a solution dT/dt = 2pi * sqrt((dm/dt)/k) dT/dt = 2pi * (dm/dt)^1/2 / k^(1/2) dT/dt = 2pi * (m/2)^-1/2 / k^1/2 dT/dt = 2pi * (m2k)^-1/2 my calculus isn't the sharpest so I probably screwed up taking the derivative?