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A mass of 3 kg is suspended from a spring whose constant is 2 Nt/cm. The system is then immersed in a medium that imparts a damping force equal to 1.2 times the instantaneous velocity. The mass is released from 5 cm above the equilibrium positon with downward velocity 50 cm/sec. Determine the position of the mass at any time t.

A mass of 3 kg is suspended from a spring whose constant is 2 Nt/cm. The system is then immersed in a medium that imparts a damping force equal to 1.2 times the instantaneous velocity. The mass is released from 5 cm above the equilibrium positon with downward velocity 50 cm/sec. Determine the position of the mass at any time t.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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A mass of 3 kg is suspended from a spring whose constant is 2 Nt/cm. The system is then immersed in a medium that imparts a damping force equal to 1.2 times the instantaneous velocity. The mass is released from 5 cm above the equilibrium positon with downward velocity 50 cm/sec. Determine the position of the mass at any time t.
Transcribed Image Text:A mass of 3 kg is suspended from a spring whose constant is 2 Nt/cm. The system is then immersed in a medium that imparts a damping force equal to 1.2 times the instantaneous velocity. The mass is released from 5 cm above the equilibrium positon with downward velocity 50 cm/sec. Determine the position of the mass at any time t.
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