Consider a spring subjected to a damping force. In the critically damped case, the motion is given by x=c1ert+c2tert ,We saw that the graph of x can cross the t-axis only once. What is the condition for this to happen?

Consider a spring subjected to a damping force. In the critically damped case, the motion is given by x=c1ert+c2tert ,We saw that the graph of x can cross the t-axis only once. What is the condition for this to happen?

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Consider a spring subjected to a damping force.
In the critically damped case, the motion is given by x=c₁e^rt+c₂te^rt ,We saw that the graph of x can cross the t-axis only once. What is the condition for this to happen?

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