5. A mass m is attached to both a spring (with given spring constant k) and a dashpot (with damping constant c). The mass is set in motion with initial position x, and velocity vo. A) Find the damped position function x(t) and determine whether the motion is overdamped, critically damped, or underdamped. If it is underdamped, write the position function in the formx(t) = c,e=pt cos(w¡t – az) B) Find the undamped function u(t) = C9e¯pt cos(wot – ao) that would result if the mass on the spring were set in motion with the same initial position and velocity but with the dashpot disconnected. m = 3, c = 30, k = 63, xo = 2, vo = 2

5. A mass m is attached to both a spring (with given spring constant k) and a dashpot (with damping constant c). The mass is set in motion with initial position x, and velocity vo. A) Find the damped position function x(t) and determine whether the motion is overdamped, critically damped, or underdamped. If it is underdamped, write the position function in the formx(t) = c,e=pt cos(w¡t – az) B) Find the undamped function u(t) = C9e¯pt cos(wot – ao) that would result if the mass on the spring were set in motion with the same initial position and velocity but with the dashpot disconnected. m = 3, c = 30, k = 63, xo = 2, vo = 2

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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