A 0.600 kg mass oscillates at the end of a spring with a stiffness of k = 300N/ m. The initial amplitude is 0.500 m. The damping force is proportional to the velocity, -av. A. If the amplitude decreases from 0.500 m to 0.350 m in 2.500 s , what is the damping constant a? B. Is the system underdamped? C. Illustrate.

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A 0.600 kg mass oscillates at the end of a spring with a stiffness of k = 300 N / m. The initial
amplitude is 0.500 m. The damping force is proportional to the velocity, -av.
A. If the amplitude decreases from 0.500 m to 0.350 m in 2.500 s , what is the damping
constant a?
B. Is the system underdamped?
C. Illustrate.
NOTE: Answer should be 7.44 x 10^-2 kg/s
Transcribed Image Text:A 0.600 kg mass oscillates at the end of a spring with a stiffness of k = 300 N / m. The initial amplitude is 0.500 m. The damping force is proportional to the velocity, -av. A. If the amplitude decreases from 0.500 m to 0.350 m in 2.500 s , what is the damping constant a? B. Is the system underdamped? C. Illustrate. NOTE: Answer should be 7.44 x 10^-2 kg/s
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