A mass-spring-dashpot system has mass m = 2 kg, spring constant k = 9 N/m, and drag coefficient c = 6 kg/s. There are no external forces acting on the system. The mass is originally at rest, z(0) = 0 and is given velocity v(0) = 1. Find the frequency and amplitude of motion.

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7. A mass-spring-dashpot
system has mass m = 2 kg, spring constant k = 9 N/m, and drag coefficient
c = 6 kg/s. There are no external forces acting on the system. The mass is originally at rest, z(0) = 0
and is given velocity v(0) = 1. Find the frequency and amplitude of motion.
Transcribed Image Text:7. A mass-spring-dashpot system has mass m = 2 kg, spring constant k = 9 N/m, and drag coefficient c = 6 kg/s. There are no external forces acting on the system. The mass is originally at rest, z(0) = 0 and is given velocity v(0) = 1. Find the frequency and amplitude of motion.
Expert Solution
Step 1: Step 1

Given space that colon

straight m equals 2 space kg

straight k equals 9 space straight N divided by straight m

straight c equals 6 space kg divided by straight s

straight x left parenthesis 0 right parenthesis equals 0

straight v left parenthesis 0 right parenthesis equals space 1 space straight m divided by straight s space space left parenthesis we space are space assuming space SI thin space units space as space all space units space are space given space in space SI space system right parenthesis

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