A damped oscillator has a frequency w’ that is 10% less than its undamped frequency. (a) By what factor is the amplitude of the oscillation decreased during each oscillation? (b) By what factor is its energy reduced during each oscillation
A damped oscillator has a frequency w’ that is 10% less than its undamped frequency. (a)...
(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?
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. Oscillating system performs damped oscillations with frequency 1000 Hz. Determine the frequency of natural oscillations if the resonance frequency is 998 Hz. 2. Amplitude of vibrations during 5 minutes decreased by 2 times, during which time the amplitude reduced by 8 times? 3. For 8 minutes amplitude decreased 8 times. Find damping factor. 4. Determine how much resonance frequency is different from the natural oscillation frequency (1kHz) when the damping factor is 400 s decreased 20 times 6. The...
An undamped 2.19 kg horizontal spring oscillator has a spring constant of 34.5 Nm. While oscillating, it is found to have a speed of 2.50 m/s as it passes through its equilibrium position. What is its amplitude of oscillation? amplitude of oscillation: What is the oscillator's total mechanical energy as it passes through a position that is 0.584 of the amplitude away from the equilibrium position? total mechanical energy:
An undamped 2.87 kg horizontal spring oscillator has a spring constant of 26.5 N/m. While oscillating, it is found to have a speed of 3.02 m/s as it passes through its equilibrium position. What is its amplitude of oscillation? amplitude of oscillation: What is the oscillator's total mechanical energy as it passes through a position that is 0.629 of the amplitude away from the equilibrium position? total mechanical energy:
An undamped 1.02-kg horizontal spring oscillator has a spring constant of 29.9 N/m. While oscillating, it is found to have a speed of 2.21 m/s as it passes through its equilibrium position. What is its amplitude of oscillation? What is the oscillator\'s total mechanical energy as it passes through a position that is 0.701 of the amplitude away from the equilibrium position?
An undamped 2.36-kg horizontal spring oscillator has a spring constant of 24.0 N/m. While oscillating, it is found to have a speed of 2.70 m/s as it passes through its equilibrium position. What is its amplitude of oscillation? 0.846m What is the oscillator\'s total mechanical energy as it passes through a position that is 0.794 of the amplitude away from the equilibrium position? _______J
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.
An undamped 2.74-kg horizontal spring oscillator has a spring constant of 32.2 N/m. While oscillating, it is found to have a speed of 3.01 m/s as it passes through its equilibrium position. A. What is its amplitude of oscillation? B.What is the oscillator's total mechanical energy as it passes through a position that is 0.527 of the amplitude away from the equilibrium position?
An undamped 1.97 kg horizontal spring oscillator has a spring constant of 38.8 N/m. While oscillating, it is found to have a speed of 2.08 m/s as it passes through its equilibrium position. What is its amplitude A of oscillation? A = m What is the oscillator's total mechanical energy Etot as it passes through a position that is 0.616 of the amplitude away from the equilibrium position? Etot = J