Consider a driven oscillator of natural frequency 25 Hz (Hz is cycle/s): - How does the...
Consider a driven oscillator of natural frequency 25 Hz (Hz is cycle/s):
- How does the amplitude of the oscillation change when the frequency of the driving force is increased from 20 Hz to 25 Hz?
- How does the amplitude of the oscillation change when the frequency of the driving force is increased further from 25 Hz to 35 Hz? e
- At what frequency of the driving force the amplitude of oscillation is maximum?
Homework Answers
Answer to all parts Amplitude is independent of frequency. So amplitude will not change if e change frequency
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Consider a driven oscillator of natural frequency 25 Hz (Hz is
cycle/s):
- How does the...
A forced oscillator is driven at a frequency of 30 Hz with a peak force of...
A forced oscillator is driven at a frequency of 30 Hz with a peak force of 17 N. The natural frequency of the physical system is 26 Hz. If the damping constant is 1.25 kg/s and the mass of the oscillating object is 0.75 kg, calculate the amplitude of the motion 3.842473x mm
Problem 17. A) In steady state, does a damped, driven oscillator oscillate at the frequency of...
Problem 17. A) In steady state, does a damped, driven oscillator oscillate at the frequency of the driving force, the natural frequency of the oscillator or neither of these frequencies? B) Ella Fitzgerald could break a wine glass with her voice but Louis Armstrong could not. Is this likely because Ella could sing louder than Louis? Justify your answer. C) What happens to the width of the average-power-delivered vs driving frequency curve if the damping is increased? D) What happens...
A damped oscillator with natural frequency wo and damping K is driven by a period square...
A damped oscillator with natural frequency wo and damping K is driven by a period square wave force with amplitude A such that F(t)= A Find the Fourier series for F(t), and solve for the amplitude of the motion of the oscillator. For which frequency wn is the resonance condition the most closely satisfied? Plot the maximum amplitude (in units of A) as a function of wn for the conditions with the spring constant k 1, m 2, K 0.1,...
Problem 15. (20 pts) Consider a damped driven oscillator with the following parameters s-100 N/m b=0.5kg/s...
Problem 15. (20 pts) Consider a damped driven oscillator with the following parameters s-100 N/m b=0.5kg/s m= 1 kg Fo=2N A) Find the resonant frequency, w. B) Find the damping rate y C) What is the quality factor Q for this oscillator? D) Is this oscillator lightly damped, critically damped, or heavily damped? E) Find the steady state amplitude when the oscillator is driven on resonance (Ω=w). F) Find the steady state amplitude when Ω_w+γ/2. G) Find the average power...
1. Oscillating system performs damped oscillations with frequency 1000 Hz. Determine the frequency of natural oscillations...
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...
A 170 g oscillator in a vacuum chamber has a frequency of 1.5 Hz . When...
A 170 g oscillator in a vacuum chamber has a frequency of 1.5 Hz . When air is admitted, the oscillation decreases to 60% of its initial amplitude in 50 s. How many oscillations will have been completed when the amplitude is 30% of its initial value? N= ? oscillations
1. The frequency of a damped harmonic oscillator is 100 Hz, and the ratio of the...
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?
A 210 g oscillator in a vacuum chamber has a frequency of 2.0 Hz . When...
A 210 g oscillator in a vacuum chamber has a frequency of 2.0 Hz . When air is admitted, the oscillation decreases to 60% of its initial amplitude in 50 s. Q. How many oscillations will have been completed when the amplitude is 30% of its initial value? Express your answer in oscillations.
An oscillator consists of a block of mass 420 g connected to a spring. When set...
An oscillator consists of a block of mass 420 g connected to a spring. When set into oscillation with amplitude 26 cm, the oscillator repeats its motion every 0.41 s. Find the (a) period, (b) frequency (in Hz), (c) angular frequency, (d) spring constant, (e) maximum speed, and (f) magnitude of the maximum force on the block from the spring.
A 190 g oscillator in a vacuum chamber has a frequency of 2.5 Hz. When air...
A 190 g oscillator in a vacuum chamber has a frequency of 2.5 Hz. When air is admitted, the oscillation decreases to 60% of its initial amplitude in 50 s
A forced oscillator is driven at a frequency of 30 Hz with a peak force of 17 N. The natural frequency of the physical system is 26 Hz. If the damping constant is 1.25 kg/s and the mass of the oscillating object is 0.75 kg, calculate the amplitude of the motion 3.842473x mm
Problem 17. A) In steady state, does a damped, driven oscillator oscillate at the frequency of the driving force, the natural frequency of the oscillator or neither of these frequencies? B) Ella Fitzgerald could break a wine glass with her voice but Louis Armstrong could not. Is this likely because Ella could sing louder than Louis? Justify your answer. C) What happens to the width of the average-power-delivered vs driving frequency curve if the damping is increased? D) What happens...
A damped oscillator with natural frequency wo and damping K is driven by a period square wave force with amplitude A such that F(t)= A Find the Fourier series for F(t), and solve for the amplitude of the motion of the oscillator. For which frequency wn is the resonance condition the most closely satisfied? Plot the maximum amplitude (in units of A) as a function of wn for the conditions with the spring constant k 1, m 2, K 0.1,...
Problem 15. (20 pts) Consider a damped driven oscillator with the following parameters s-100 N/m b=0.5kg/s m= 1 kg Fo=2N A) Find the resonant frequency, w. B) Find the damping rate y C) What is the quality factor Q for this oscillator? D) Is this oscillator lightly damped, critically damped, or heavily damped? E) Find the steady state amplitude when the oscillator is driven on resonance (Ω=w). F) Find the steady state amplitude when Ω_w+γ/2. G) Find the average power...
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...
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?
An oscillator consists of a block of mass 420 g connected to a spring. When set into oscillation with amplitude 26 cm, the oscillator repeats its motion every 0.41 s. Find the (a) period, (b) frequency (in Hz), (c) angular frequency, (d) spring constant, (e) maximum speed, and (f) magnitude of the maximum force on the block from the spring.
A 190 g oscillator in a vacuum chamber has a frequency of 2.5 Hz. When air is admitted, the oscillation decreases to 60% of its initial amplitude in 50 s
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