College Physics
College Physics
11th Edition
ISBN: 9781305952300
Author: Raymond A. Serway, Chris Vuille
Publisher: Cengage Learning
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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. \[ A_0 = \_\_\_\_\_\_\_\_\_\_ \, \text{m} \]
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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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