A mass of 1 kg is tied to a spring hanging from the ceiling and it stretches the spring 10 meters. There is a damping force which is 4N when the mass is moving at 2 meters/second. Show that the mass can pass through the equilibrium position at most once, regardless of the how it is set in motion (initial conditions).

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A mass of 1 kg is tied to a spring hanging from the ceiling and it stretches the
spring 10 meters. There is a damping force which is 4N when the mass is moving at 2
meters/second. Show that the mass can pass through the equilibrium position at most
once, regardless of the how it is set in motion (initial conditions).
Transcribed Image Text:A mass of 1 kg is tied to a spring hanging from the ceiling and it stretches the spring 10 meters. There is a damping force which is 4N when the mass is moving at 2 meters/second. Show that the mass can pass through the equilibrium position at most once, regardless of the how it is set in motion (initial conditions).
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