A mass of 2kg stretches a spring 20cm. Suppose the mass is displaced an additional 2cm in the positive (downward) direction and then released. Suppose that the damping constant is 2 N - s/m and assume g = 9.8 m/s² is the gravitational acceleration. (a) Set up a differential equation that describes this system. Let z to denote the displacement, in meters, of the mass from its equilibrium position, and give your answer in terms of I,z',z" (b) Enter the initial conditions: z(0) m r'(0) m/s (c) Is this system under damped, over damped, or critically damped? ?
A mass of 2kg stretches a spring 20cm. Suppose the mass is displaced an additional 2cm in the positive (downward) direction and then released. Suppose that the damping constant is 2 N - s/m and assume g = 9.8 m/s² is the gravitational acceleration. (a) Set up a differential equation that describes this system. Let z to denote the displacement, in meters, of the mass from its equilibrium position, and give your answer in terms of I,z',z" (b) Enter the initial conditions: z(0) m r'(0) m/s (c) Is this system under damped, over damped, or critically damped? ?
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Transcribed Image Text:A mass of 2kg stretches a spring 20cm. Suppose the mass is displaced an additional 2cm in the positive (downward) direction and then released.
Suppose that the damping constant is 2 N - s/m and assume g = 9.8 m/s² 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
I, x',x"
(b) Enter the initial conditions:
x(0)
m,
x'(0)
m/s
(c) Is this system under damped, over damped, or critically damped? ?
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