A mass of 3kg stretches a spring 40cm. Suppose the mass is displaced an additional 12em in the positive (downwardi direction and then ruleased. Suppose that the damping constant is 2 N/m and assume g 9.8 m/s is the gravitational accelaration Set up a differential equation that describes this system. Let a to denote the displacement, in metern, of the mas from its equlibrium position, and give your answer in terms of a,e', a". 3" + 2 +245r 0 (b) Enter the intial conditions z(0) -12 m. z'(0) 0 m/s o ls this wyotem under damped, over damped, or critically damped? under damped

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Chapter1: Units, Trigonometry. And Vectors
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A mass of 3kg stretches a spring 40cm. Suppose the mass is displaced an additional 12em in the positive (downward) direction and then ruleased.
Suppose that the damping constant is 2N/m and assume g9.8 m/s is the gravitational accelaration.
Set up a differential equation that describes this system. Let a to denote the displacement, in metern, of the mass from its equilbrium position, and give your answer in terms of z, , a".
3"+ 2 + 245r=0
b) Enter the intial conditions
(0) 12 m.
(0)
o m/s
is this wyotem under damped, over damped, or critically damped? under damped
Transcribed Image Text:A mass of 3kg stretches a spring 40cm. Suppose the mass is displaced an additional 12em in the positive (downward) direction and then ruleased. Suppose that the damping constant is 2N/m and assume g9.8 m/s is the gravitational accelaration. Set up a differential equation that describes this system. Let a to denote the displacement, in metern, of the mass from its equilbrium position, and give your answer in terms of z, , a". 3"+ 2 + 245r=0 b) Enter the intial conditions (0) 12 m. (0) o m/s is this wyotem under damped, over damped, or critically damped? under damped
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