A spring with a mass of 10 kg has natural length 1 m. A force of 30 N is required to maintain it stretched to a length of 1.5 m. The spring is stretched to a length of 1.5 m and then released with initial velocity zero. 1. Find the spring constant k. 20 2. Find the natural frequency w of the mass-spring constant. 3. Write the governing ODE for this mass-spring system.- 4. Write the general solution of this ODE. 5. Write two initial conditions from the problem descriptions above for this ODE. 6. Find the two arbitrary constants in the general solutions using above initial conditions.

A spring with a mass of 10 kg has natural length 1 m. A force of 30 N is required to maintain it stretched to a length of 1.5 m. The spring is stretched to a length of 1.5 m and then released with initial velocity zero. 1. Find the spring constant k. 20 2. Find the natural frequency w of the mass-spring constant. 3. Write the governing ODE for this mass-spring system.- 4. Write the general solution of this ODE. 5. Write two initial conditions from the problem descriptions above for this ODE. 6. Find the two arbitrary constants in the general solutions using above initial conditions.

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Description: please solve all the parts A spring with a mass of 10 kg has natural length 1 m. A force of 30 N is requiredto maintain it stretched to a length of 1.5 m. The spring is stretched to a length of 1.5 m and then releasedwith initial velocity zero.1. Fin

Classical Dynamics of Particles and Systems

5th Edition

ISBN:9780534408961

Author:Stephen T. Thornton, Jerry B. Marion

Publisher:Stephen T. Thornton, Jerry B. Marion

Chapter3: Oscillations

Section: Chapter Questions

Problem 3.12P

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