A vertical spring-mass system undergoes damped oscillations due to air resistance. The spring constant is 2.10 x 104 N/m and the mass at the end of the spring is 13.9 kg. (a) If the damping coefficient is b = 4.50N· s/m, what is the frequency of the oscillator? 7.6 What is the expression for the amplitude of a damped oscillator in terms of the spring constant, the mass, and the damping coefficient? Hz (b) Determine the fractional decrease in the amplitude of the oscillation after 7 cycles.

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A vertical spring-mass system undergoes damped oscillations due to air resistance. The spring constant is 2.10 x 104 N/m and the mass at the end of the spring is 13.9 kg.
(a) If the damping coefficient is b = 4.50 N· s/m, what is the frequency of the oscillator?
7.6
What is the expression for the amplitude of a damped oscillator in terms of the spring constant, the mass, and the damping coefficient? Hz
(b) Determine the fractional decrease in the amplitude of the oscillation after 7 cycles.
Transcribed Image Text:A vertical spring-mass system undergoes damped oscillations due to air resistance. The spring constant is 2.10 x 104 N/m and the mass at the end of the spring is 13.9 kg. (a) If the damping coefficient is b = 4.50 N· s/m, what is the frequency of the oscillator? 7.6 What is the expression for the amplitude of a damped oscillator in terms of the spring constant, the mass, and the damping coefficient? Hz (b) Determine the fractional decrease in the amplitude of the oscillation after 7 cycles.
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