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Problem 8
In a system with y = 2 and k = 2, a unit mass starts oscillating from the point 1 with initial
velocity -2. At t = 7/2 the damping coefficient y is changed so that the system undergoes
critical damping.
• Identify the type of damping before t = n/2.
• Establish the IVP for the model before and after t = T/2.
What is the jump in the position, velocity and acceleration at t = 7/2?

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