A spring-mass system oscilates on a frictionless surface without air resistance at an angular frequency of w = 4.50 rad/s. Then the same spring-mass system is placed inside a gas-filled chamber with an air resistance constant b = 0.012 kg/s. If the system's spring has a constant of k = 32 N/m, 1) What is the new angular frequency (w') for the system? 2) What is the damping coefficient (y) for the spring-mass system? Justify your answer using your reasoning and rationale used.

Principles of Physics: A Calculus-Based Text
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Author:Raymond A. Serway, John W. Jewett
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Chapter12: Oscillatory Motion
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A spring-mass system oscilates on a frictionless surface without air resistance at an angular frequency of w =
4.50 rad/s.
Then the same spring-mass system is placed inside a gas-filled chamber with an air resistance constant b =
0.012 kg/s.
If the system's spring has a constant of k = 32 N/m,
1) What is the new angular frequency (w') for the system?
2) What is the damping coefficient (y) for the spring-mass system?
Justify your answer using your reasoning and rationale used.
Transcribed Image Text:A spring-mass system oscilates on a frictionless surface without air resistance at an angular frequency of w = 4.50 rad/s. Then the same spring-mass system is placed inside a gas-filled chamber with an air resistance constant b = 0.012 kg/s. If the system's spring has a constant of k = 32 N/m, 1) What is the new angular frequency (w') for the system? 2) What is the damping coefficient (y) for the spring-mass system? Justify your answer using your reasoning and rationale used.
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