3. Submit answer Get help Practice similar A mass m = 4 kg is attached to both a spring with spring constant k = 37 N/m and a dash-pot with damping constant c = 4 N. s/m. The mass is started in motion with initial position x0 = 4 m and initial velocity vo= 6 m/s. Determine the position function (t) in meters. x(t) = < > Note that, in this problem, the motion of the spring is underdamped, therefore the solution can be written in the form x(t) = C₁e *cos(w₁t - a₁). Determine C₁, w₁,ajand p. C₁ = w1 = a₁ = (assume 0α <2π) p = Graph the function z(t) together with the "amplitude envelope" curves x = -C₁ept and x = C₁e Now assume the mass is set in motion with the same initial position and velocity, but with the dashpot disconnected (so c = 0). Solve the resulting differential equation to find the position function u(t). In this case the position function u(t) can be written as u(t) = Cocos (wot - oo). Determine Co. wo and α0. Co=

3. Submit answer Get help Practice similar A mass m = 4 kg is attached to both a spring with spring constant k = 37 N/m and a dash-pot with damping constant c = 4 N. s/m. The mass is started in motion with initial position x0 = 4 m and initial velocity vo= 6 m/s. Determine the position function (t) in meters. x(t) = < > Note that, in this problem, the motion of the spring is underdamped, therefore the solution can be written in the form x(t) = C₁e *cos(w₁t - a₁). Determine C₁, w₁,ajand p. C₁ = w1 = a₁ = (assume 0α <2π) p = Graph the function z(t) together with the "amplitude envelope" curves x = -C₁ept and x = C₁e Now assume the mass is set in motion with the same initial position and velocity, but with the dashpot disconnected (so c = 0). Solve the resulting differential equation to find the position function u(t). In this case the position function u(t) can be written as u(t) = Cocos (wot - oo). Determine Co. wo and α0. Co=

Linear Algebra: A Modern Introduction

4th Edition

ISBN:9781285463247

Author:David Poole

Publisher:David Poole

Chapter6: Vector Spaces

Section6.7: Applications

Problem 18EQ

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