Underdamped oscilation problem

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The discussion centers on an underdamped oscillation problem involving a 1.5 kg mass on a spring with a spring constant of 600 N/m. The system experiences a 3% decrease in amplitude per cycle and is driven by a sinusoidal force with a maximum value of F0=0.5N. Key calculations include an angular frequency of 19.9998 rad/s, a resonant frequency of 20 rad/s, an amplitude of 0.0859 m at resonant frequency, and an amplitude of 0.00851 m when the driving force's angular frequency is 19 rad/s.

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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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