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ineers can determine properties of a structure that is modeled as damped spring oscillator-such as a...
Please don't answer if you are unsure or inexperienced! People are paying their hard-earned money for...
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Engineers can determine properties of a structure that is modeled as a damped spring oscillator, such as a bridge, by applying a driving force to it. A weakly damped spring oscillator of mass 0.225 kg is driven by a sinusoidal force at the oscillator's resonance frequency of 28.0 Hz. Find the value of the spring constant. spring constant: N/m The amplitude of...
A driving force of the form F(t) = (0.212 N) sin (2xft) acts on a weakly...
A driving force of the form F(t) = (0.212 N) sin (2xft) acts on a weakly damped spring oscillator with mass 6.98 kg, spring constant 362 N/m, and damping constant 0.261 kg/s. What frequency fo of the driving force will maximize the response of the oscillator? fo = Hz Find the amplitude Ao of the oscillator's steady-state motion when the driving force has this frequency Find the amplitude Ap of the oscillator's steady-state motion when the driving force has this...
A driving force of the form F(t) = (0.215 N) sin (2 ft) acts on a...
A driving force of the form F(t) = (0.215 N) sin (2 ft) acts on a weakly damped spring oscillator with mass 6.86 kg, spring constant 322 N/m, and damping constant 0.217 kg/s. What frequency of the driving force will maximize the response of the oscillator? frequency: Find the amplitude of the oscillator's steady-state motion when the driving force has this frequency amplitude:
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...
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,...
A damped harmonic oscillator consists of a block of mass 5kg and a spring with spring...
A damped harmonic oscillator consists of a block of mass 5kg and a spring with spring constant k = 10 N/m. Initially, the system oscillates with an amplitude of 63 cm. Because of the damping, the amplitude decreases by 56% of its initial value at the end of four oscillations. What is the value of the damping constant, b? What percentage of initial energy has been lost during these four oscillations?
A damped harmonic oscillator consists of a block (m = 3.00 kg), a spring (k =...
A damped harmonic oscillator consists of a block (m = 3.00 kg), a spring (k = 11.1 N/m), and a damping force (F = -bv). Initially, it oscillates with an amplitude of 28.7 cm; because of the damping, the amplitude falls to 0.760 of the initial value at the completion of 6 oscillations. (a) What is the value of b? (Hint: Assume that b2 << km.) (b) How much energy has been lost during these 6 oscillations?
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...
2. A damped harmonic oscillator with m 1.00 kg, k 2500 N/m, and b 42.4 kg/s...
2. A damped harmonic oscillator with m 1.00 kg, k 2500 N/m, and b 42.4 kg/s is subject to a driving force given by Fo cos wt. (a) what value of ω results in the maximum stead-state amplitude (ie, resonance)? (b) What is the quality factor Q of this oscillator?
A second order mechanical system of a mass connected to a spring and a damper is subjected to a s...
A second order mechanical system of a mass connected to a spring and a damper is subjected to a sinusoidal input force mi+ci +kx- Asin(ot) The mass is m-5 kg, the damping constant is c = 1 N-sec/m, the spring stiffness is 2 N/m, and the amplitude of the input force is A- 3 N. For this system give explicit numerical values for the damping factor un-damped natural frequency on a. and the
A second order mechanical system of a...
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Engineers can determine properties of a structure that is modeled as a damped spring oscillator, such as a bridge, by applying a driving force to it. A weakly damped spring oscillator of mass 0.225 kg is driven by a sinusoidal force at the oscillator's resonance frequency of 28.0 Hz. Find the value of the spring constant. spring constant: N/m The amplitude of...
A driving force of the form F(t) = (0.212 N) sin (2xft) acts on a weakly damped spring oscillator with mass 6.98 kg, spring constant 362 N/m, and damping constant 0.261 kg/s. What frequency fo of the driving force will maximize the response of the oscillator? fo = Hz Find the amplitude Ao of the oscillator's steady-state motion when the driving force has this frequency Find the amplitude Ap of the oscillator's steady-state motion when the driving force has this...
A driving force of the form F(t) = (0.215 N) sin (2 ft) acts on a weakly damped spring oscillator with mass 6.86 kg, spring constant 322 N/m, and damping constant 0.217 kg/s. What frequency of the driving force will maximize the response of the oscillator? frequency: Find the amplitude of the oscillator's steady-state motion when the driving force has this frequency amplitude:
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...
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 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...
2. A damped harmonic oscillator with m 1.00 kg, k 2500 N/m, and b 42.4 kg/s is subject to a driving force given by Fo cos wt. (a) what value of ω results in the maximum stead-state amplitude (ie, resonance)? (b) What is the quality factor Q of this oscillator?
A second order mechanical system of a mass connected to a spring and a damper is subjected to a sinusoidal input force mi+ci +kx- Asin(ot) The mass is m-5 kg, the damping constant is c = 1 N-sec/m, the spring stiffness is 2 N/m, and the amplitude of the input force is A- 3 N. For this system give explicit numerical values for the damping factor un-damped natural frequency on a. and the
A second order mechanical system of a...
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