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

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

Classical Dynamics of Particles and Systems

5th Edition

ISBN:9780534408961

Author:Stephen T. Thornton, Jerry B. Marion

Publisher:Stephen T. Thornton, Jerry B. Marion

Chapter13: Continuous Systems; Waves

Section: Chapter Questions

Problem 13.9P

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