For a damped simple harmonic oscillator, the block has a mass of 1.5 kg and the spring constant is 9.9 N/m. The damping force is given by -b(dx/dt), where b = 250 g/s. The block is pulled down 16.2 cm and released. (a) Calculate the time required for the amplitude of the resulting oscillations to fall to 1/8 of its initial value. (b) How many oscillations are made by the block in this time?

Classical Dynamics of Particles and Systems
5th Edition
ISBN:9780534408961
Author:Stephen T. Thornton, Jerry B. Marion
Publisher:Stephen T. Thornton, Jerry B. Marion
Chapter3: Oscillations
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For a damped simple harmonic oscillator, the block has a mass of 1.5 kg and the spring constant is 9.9 N/m. The damping force is
given by -b(dx/dt), where b = 250 g/s. The block is pulled down 16.2 cm and released. (a) Calculate the time required for the
amplitude of the resulting oscillations to fall to 1/8 of its initial value. (b) How many oscillations are made by the block in this time?
| Rigid support
Springiness, k
Mass m
- Vane
Damping, b
(a) Number
Units
(b) Number
i
Units
Transcribed Image Text:For a damped simple harmonic oscillator, the block has a mass of 1.5 kg and the spring constant is 9.9 N/m. The damping force is given by -b(dx/dt), where b = 250 g/s. The block is pulled down 16.2 cm and released. (a) Calculate the time required for the amplitude of the resulting oscillations to fall to 1/8 of its initial value. (b) How many oscillations are made by the block in this time? | Rigid support Springiness, k Mass m - Vane Damping, b (a) Number Units (b) Number i Units
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