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. Find the spring constant k.202. Find the natural frequency w of the mass-spring constant. Y23. Write the governing ODE for this mass-spring system.-9.4. 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.

Name: A spring with a mass of 10 kg has natural length 1 m. A force of 30 N
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Description: 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. Find the spring constant k.20

we have 1) F=kx⇒k=Fx=301.5=20 N/m

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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. 2 3. Write the governing ODE for this mass-spring system.

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. 2 3. Write the governing ODE for this mass-spring system.

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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