The damping force in a dampedharmonic oscillator *is always proportioanal to the mass of theoscillatoris considered to be a an external forceacting on the oscillatorhas the the effect of increasing thefrequency of the oscillatorcan never be calculated exactly

In damping oscillators, the damping force is acts as an external force, it slows down the motion of…

Answered: The damping force in a damped harmonic…

Classical Dynamics of Particles and Systems

5th Edition

ISBN:9780534408961

Author:Stephen T. Thornton, Jerry B. Marion

Publisher:Stephen T. Thornton, Jerry B. Marion

Chapter3: Oscillations

Section: Chapter Questions

Problem 3.44P: Consider a damped harmonic oscillator. After four cycles the amplitude of the oscillator has dropped...

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Similar questions

Show that, if a driven oscillator is only lightly damped and driven near resonance, the Q of the system is approximately Q2(TotalenergyEnergylossduringoneperiod)
Give an example of a damped harmonic oscillator. (They are more common than undamped or simple harmonic oscillators.)
For a damped, driven oscillator, show that the average kinetic energy is the same at a frequency of a given number of octaves* above the kinetic energy resonance as at a frequency of the same number of octaves below resonance.
Plot a velocity resonance curve for a driven, damped oscillator with Q = 6, and show that the full width of the curve between the points corresponding to is approximately equal to ω0/6.
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.
Most harmonic oscillators are damped and, if undriven, eventually come to a stop. Why?
Allow the motion in the preceding problem to take place in a resisting medium. After oscillating for 10 s, the maximum amplitude decreases to half the initial value. Calculate (a) the damping parameter β, (b) the frequency υ1 (compare with the undamped frequency υ0), and (c) the decrement of the motion.
Check Your Understanding Why are completely undamped harmonic oscillators so rare?
Two identical harmonic oscillators are placed such that the two masses slide against one another, as in Figure 12-A. The frictional force provides a coupling of the motions proportional to the instantaneous relative velocity. Discuss the coupled oscillations of the system.
If the amplitude of a damped oscillator decreases to 1/e of its initial value after n periods, show that the frequency of the oscillator must be approximately [1 − (8π2n2)−1] times the frequency of the corresponding undamped oscillator.
Check Your Understanding Identify one way you could decrease the maximum velocity of a simple harmonic oscillator.
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?

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The damping force in a damped harmonic oscillator * is always proportioanal to the mass of the oscillator is considered to be a an external force acting on the oscillator has the the effect of increasing the frequency of the oscillator can never be calculated exactly