A spring-mass system has a spring with spring constant k=65.0 N/m and a 800.0 gram mass on the end of the spring. The surface supporting the mass is frictionless and there is negligible air resistance. When the system is fırst observed (at time t = 0), the spring is stretched 6.10 cm from its natural length and the velocity of the mass is 4.10 m/s in the +x direction. 1. What is the displacement function x(t) for this motion? 2. If the spring-mass system was placed in a chamber where the air resistance has a drag constant of b = 0.12, what is the frequency of the new system, in rad/s? Round to the nearest hundredth (0.01). Justify your answer using your rationale and equations used.

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Chapter1: Units, Trigonometry. And Vectors
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A spring-mass system has a spring with spring constant k=65.0 N/m and a 800.0 gram mass on the end of the
spring. The surface supporting the mass is frictionless and there is negligible air resistance. When the system is fırst
observed (at time t = 0), the spring is stretched 6.10 cm from its natural length and the velocity of the mass is 4.10
m/s in the +x direction.
1. What is the displacement function x(t) for this motion?
2. If the spring-mass system was placed in a chamber where the air resistance has a drag constant of b = 0.12, what
is the frequency of the new system, in rad/s?
Round to the nearest hundredth (0.01). Justify your answer using your rationale and equations used.
Transcribed Image Text:A spring-mass system has a spring with spring constant k=65.0 N/m and a 800.0 gram mass on the end of the spring. The surface supporting the mass is frictionless and there is negligible air resistance. When the system is fırst observed (at time t = 0), the spring is stretched 6.10 cm from its natural length and the velocity of the mass is 4.10 m/s in the +x direction. 1. What is the displacement function x(t) for this motion? 2. If the spring-mass system was placed in a chamber where the air resistance has a drag constant of b = 0.12, what is the frequency of the new system, in rad/s? Round to the nearest hundredth (0.01). Justify your answer using your rationale and equations used.
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