You suspend a bowling ball of mass m using a spring and a rope. The spring is horizontal and has spring constant k; the rope makes an angle θ with the vertical.
Answer all parts in terms of m, g, k, and θ.
a) What is the tension T in the rope?
b) Your arch nemesis cuts the rope. What is the acceleration of the ball immediately after the rope is cut?
The Attempt at a Solution
I answered a without a problem but I have no idea what to do with b. I tried to use the vertical force when a system is in equilibrium but it doesn't work. Combinations : g*sin(theta), g*cos(theta) don't work either. I guess it is probably simple but I am at my wits' end.
The stretched distance is not given I am wondering what k is for. I could recover x by Hooke's law when the string is in a vertical position: x=-mg/k