8. A force of 2 N stretches a spring by 10 cm. A mass of 0.2 kg is attached to the spring, and then the system is submerged in a medium that provides a damping force equal to four times the instantaneous velocity. Find the equation of motion, if at time t = 0, the mass is released from rest at a point located 5 cm above the equilibrium position. Will the mass pass through the equilibrium position? (Use g = 9.8 m/s²) Sol.

College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
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Chapter1: Units, Trigonometry. And Vectors
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8. A force of 2 N stretches a spring by 10 cm. A mass of 0.2 kg is attached to the spring, and then the system is
submerged in a medium that provides a damping force equal to four times the instantaneous velocity. Find the
equation of motion, if at time t = 0, the mass is released from rest at a point located 5 cm above the equilibrium
position. Will the mass pass through the equilibrium position? (Use g =
9.8 m/s²)
Sol.
Transcribed Image Text:8. A force of 2 N stretches a spring by 10 cm. A mass of 0.2 kg is attached to the spring, and then the system is submerged in a medium that provides a damping force equal to four times the instantaneous velocity. Find the equation of motion, if at time t = 0, the mass is released from rest at a point located 5 cm above the equilibrium position. Will the mass pass through the equilibrium position? (Use g = 9.8 m/s²) Sol.
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