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For a damped simple harmonic oscillator, the block has a mass of 1.1 kg and the spring constant is 13 N/m. The damping force is given by-b(dx/dt), where b = 220 g/s. The block is pulled down 14.7 cm and released. (a) Calculate the time required for the amplitude of the resulting oscillations to fall to 1/3 of its initial value. (b) How many oscillations are made by the block in this time?

For a damped simple harmonic oscillator, the block has a mass of 1.1 kg and the spring constant is 13 N/m. The damping force is given by-b(dx/dt), where b = 220 g/s. The block is pulled down 14.7 cm and released. (a) Calculate the time required for the amplitude of the resulting oscillations to fall to 1/3 of its initial value. (b) How many oscillations are made by the block in this time?

Elements Of Electromagnetics
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
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For a damped simple harmonic oscillator, the block has a mass of 1.1 kg and the spring constant is 13 N/m. The damping force is given by-b(dx/dt), where b = 220 g/s. The block is pulled down 14.7 cm and released. (a) Calculate the time required for the amplitude of the resulting oscillations to fall to 1/3 of its initial value. (b) How many oscillations are made by the block in this time? Rigid support (a) Number i (b) Number x Units Units Springiness, k Mass m Vane Damping, b
Transcribed Image Text:For a damped simple harmonic oscillator, the block has a mass of 1.1 kg and the spring constant is 13 N/m. The damping force is given by-b(dx/dt), where b = 220 g/s. The block is pulled down 14.7 cm and released. (a) Calculate the time required for the amplitude of the resulting oscillations to fall to 1/3 of its initial value. (b) How many oscillations are made by the block in this time? Rigid support (a) Number i (b) Number x Units Units Springiness, k Mass m Vane Damping, b
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