A mass of 3kg stretches a spring 20cm. Suppose the mass is displaced an additional 10cm in the positive (downward) direction and then released. Suppose that the damping constant is 2 N· S/m and assume g = 9.8 m/s? is the gravitational acceleration. (a) Set up a differential equation that describes this system. Let x to denote the displacement, in meters, of the mass from its equilibrium position, and give your answer in terms of x, x', x". (b) Enter the initial conditions: x(0) = m, x' (0) = m/s

A mass of 3kg stretches a spring 20cm. Suppose the mass is displaced an additional 10cm in the positive (downward) direction and then released. Suppose that the damping constant is 2 N· S/m and assume g = 9.8 m/s? is the gravitational acceleration. (a) Set up a differential equation that describes this system. Let x to denote the displacement, in meters, of the mass from its equilibrium position, and give your answer in terms of x, x', x". (b) Enter the initial conditions: x(0) = m, x' (0) = m/s

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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