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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 x(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(wit-ai). Determine C₁₁ and p C₁ = w1= a₁ = (assume 0α <2) p= Graph the function z(t) together with the "amplitude envelope" curves x = -C₁e 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 w(t). In this case the position function u(t) can be written as u(t) = Cocos (wot - ao). Determine Co, wo and ao. 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 x(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(wit-ai). Determine C₁₁ and p C₁ = w1= a₁ = (assume 0α <2) p= Graph the function z(t) together with the "amplitude envelope" curves x = -C₁e 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 w(t). In this case the position function u(t) can be written as u(t) = Cocos (wot - ao). Determine Co, wo and ao. Co=

Linear Algebra: A Modern Introduction
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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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 x(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(wit-ai). Determine C₁₁ and p C₁ = w1= a₁ = (assume 0α <2) p= Graph the function z(t) together with the "amplitude envelope" curves x = -C₁e 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 w(t). In this case the position function u(t) can be written as u(t) = Cocos (wot - ao). Determine Co, wo and ao. Co=
Transcribed Image Text: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 x(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(wit-ai). Determine C₁₁ and p C₁ = w1= a₁ = (assume 0α <2) p= Graph the function z(t) together with the "amplitude envelope" curves x = -C₁e 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 w(t). In this case the position function u(t) can be written as u(t) = Cocos (wot - ao). Determine Co, wo and ao. Co=
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