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.

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.

Principles of Physics: A Calculus-Based Text

5th Edition

ISBN:9781133104261

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter4: The Laws Of Motion

Section: Chapter Questions

Problem 54P: A student is asked to measure the acceleration of a glider on a frictionless, inclined plane, using...

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