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## Homework Statement

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?

## Homework Equations

Tension: (m*g)/cos(theta)

## The Attempt at a Solution

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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