A damped harmonic oscillator loses 8 percent of its mechanical energy per cycle. (a) By what percentage does its frequency differ from the natural frequency f0 = (1/2?)?k/m?
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A damped harmonic oscillator loses 8 percent of its mechanical energy per cycle. (a) By what...
A damped oscillator loses 2.0% of its energy during each cycle. (a) How many cycles elapse before half of its original energy is dissipated? (Use the 2.0% information to get a relation between γ and T, then use that to find t1/2 in terms of T) (b) What is its Q factor? (c) If the natural frequency is 150 Hz, what is the width of the resonance curve (in rad/s) when a sinusoidal force drives the oscillator?
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Try It Yourself #8 A certain damped harmonic oscillator loses 5% of its energy in each full cycle of oscillation. By what factor must the damping constant be changed in order to damp it critically? Picture: The critical damping constant is related to the mass and period of the motion. The system's Q factor is also related to these parameters, so could be used to solve for b. Take the ratio to find the factor...
1. The frequency of a damped harmonic oscillator is 100 Hz, and the ratio of the amplitude of two successive maxima is one half. a. What is the natural (undamped) frequency of this oscillator, in Hertz? b. If the oscillator is launched at time t0 from the origin with speed 2 m/s, what is its speed at time t 0.0140 sec?
(1) A damped oscillator has a quality factor of 20. Part A:- By what fraction does the energy decrease during each cycle? Part B:- By what percentage does the damped angular frequency ωd differ from the undamped angular frequency?
Q.3 Consider a damped harmonic oscillator. After four cycles the amplitude of the oscillator has dropped to 1/e of its initial value. Find the ratio of the frequency of the damped oscillator to its natural frequency.
A damped LC circuit loses 6.7% of its elextromagnetic energy per cycle due to thermal energy. If L=85 mH and C=7.70 uF what is the value of R?
The amplitude of a lightly damped oscillator decreases by 3.0% during each cycle. What percentage of the mechanical energy of the oscillator is lost in each cycle? A. 33% B. 0.33% C. 6% D. 3% E. 9%
7. (a) Explain what is meant by damped harmonic motion, and write down a differential equation describing this phenomenon b) Give an example of a damped harmonic oscillator in practice. Sketch the oscilla- tions it undergoes, and calculate their frequency and damping rate for a natural (undamped) frequency wo 10 Hz and damping coefficient γ-: 2.0 s-1
7. (a) Explain what is meant by damped harmonic motion, and write down a differential equation describing this phenomenon b) Give an example...
9. Show that a lightly damped vibrator loses about 2πΟ of its energy in one cycle of period T Hint: Consider the difference in the maximum potential energy of an oscillator at time 0 and time HT. The fraction of energy (E) lost is (E(-0)-E( TE-0
A damped LC circuit loses 6.0% of its electromagnetic energy per cycle to thermal energy. Part A If L = 55 mH and C = 7.80 μF , what is the value of R ? Express your answer to two significant figures and include the appropriate units. R R = nothing nothing SubmitRequest Answer Provide Feedback Next