8. A mass-spring-dashpot system is driven by the external force 2 sin 3t+10 cos 3t. The mass equals 1, the spring constant equals 5, and the damping coefficient equals 2. If the mass is initially located at z(0) = -1, with initial velocity z'(0) = 5, find its equation of motion.

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8. A mass-spring-dashpot system is driven by the external force 2 sin 3-+-10 cos 34. The mass equals 1,
the spring constant equals 5, and the damping coefficient equals 2. If the mass is initially located at
z(0) = -1, with initial velocity z'(0) = 5, find its equation of motion.
Transcribed Image Text:8. A mass-spring-dashpot system is driven by the external force 2 sin 3-+-10 cos 34. The mass equals 1, the spring constant equals 5, and the damping coefficient equals 2. If the mass is initially located at z(0) = -1, with initial velocity z'(0) = 5, find its equation of motion.
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