A 1 kilogram mass is attached to a spring hanging vertically from a ceiling. At time t = 0, the mass passes through the equilibrium position with a velocity 10cm/s moving downwards. Model the spring position y(t) as a function of time by the equation my" -ky-yY'. The spring constant is k = 1N/m, the friction coefficient y is not known. (a) State the initial value problem describing the mass's motion. (b) Solve the initial problem formulated in (a), assuming that there is no friction. (c) Still assuming that there is no friction, what is the period T of the motion? (d) In an experiment it was observed that the period is 47 seconds, what is the value of y consistent with that observation? =

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