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A driving force of the form F (t) = (0.281 N) sin (2x ft) acts on a weakly damped spring oscillator with mass 5.64 kg, spring constant 361 N/m, and damping constant 0.155 kg/s. What frequency fo of the driving force will maximize the response of the oscillator? fo = Hz Find the amplitude A, of the oscillator's steady-state motion when the driving force has this frequency. Ao = m

A driving force of the form F (t) = (0.281 N) sin (2x ft) acts on a weakly damped spring oscillator with mass 5.64 kg, spring constant 361 N/m, and damping constant 0.155 kg/s. What frequency fo of the driving force will maximize the response of the oscillator? fo = Hz Find the amplitude A, of the oscillator's steady-state motion when the driving force has this frequency. Ao = m

College Physics
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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### Damped Harmonic Oscillator Driven by an External Force A driving force of the form: \[ F(t) = (0.281 \, \text{N}) \sin (2\pi f t) \] acts on a weakly damped spring oscillator with a mass of 5.64 kg, a spring constant of 361 N/m, and a damping constant of 0.155 kg/s. #### Question 1 What frequency \( f_0 \) of the driving force will maximize the response of the oscillator? \[ f_0 = \_\_\_\_\_\_\_\_\_\_ \, \text{Hz} \] #### Question 2 Find the amplitude \( A_0 \) of the oscillator's steady-state motion when the driving force has this frequency. \[ A_0 = \_\_\_\_\_\_\_\_\_\_ \, \text{m} \]
Transcribed Image Text:### Damped Harmonic Oscillator Driven by an External Force A driving force of the form: \[ F(t) = (0.281 \, \text{N}) \sin (2\pi f t) \] acts on a weakly damped spring oscillator with a mass of 5.64 kg, a spring constant of 361 N/m, and a damping constant of 0.155 kg/s. #### Question 1 What frequency \( f_0 \) of the driving force will maximize the response of the oscillator? \[ f_0 = \_\_\_\_\_\_\_\_\_\_ \, \text{Hz} \] #### Question 2 Find the amplitude \( A_0 \) of the oscillator's steady-state motion when the driving force has this frequency. \[ A_0 = \_\_\_\_\_\_\_\_\_\_ \, \text{m} \]
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