Underdamped oscilation problem

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Hi, I'm having some problems to complete this problem if some body can explain me the points c an d... ;)

An object with 1.5 kg mass located on a spring with constant of 600 N/m oscillates so that the amplitude decreases 3%in each cycle. Subsequently, the system is driven with a sinusoidal force being the maximum value F0=0.5N.

a) What is the value of the angular frequency of the system before acting the sinusoidal force?
b) What is the resonant frequency?
c)What is the amplitude of the motion if the driving force is applied at the resonant frequency?
d) What is the amplitude of motion when the angular frequency of the driving force is  = 19 rad/s?


Sol.: a) 19.9998 rad/s b) 20 rad/s c) 0.0859 m d) 0.00851 m
 
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To solve this, I first used the units to work out that a= m* a/m, i.e. t=z/λ. This would allow you to determine the time duration within an interval section by section and then add this to the previous ones to obtain the age of the respective layer. However, this would require a constant thickness per year for each interval. However, since this is most likely not the case, my next consideration was that the age must be the integral of a 1/λ(z) function, which I cannot model.
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