Even though the spring exerts an attractive force, it may destabilize. For example, if the spring constant formula_47 is sufficiently weak, the dominant balance will be between the final two terms on the left side of the equation. Then, a decreasing outward angular velocity profile will produce negative values for formula_53 and both positive and negative imaginary values for formula_54 The negative imaginary root results not in oscillations, but in exponential growth of very small displacements. A weak spring therefore causes the type of instability described qualitatively at the end of the previous section. A "strong" spring on the other hand, will produce oscillations, as one intuitively expects.