1. Suppose we have a spring with attached mass hanging from the ceiling. The vertical displacement of the mass from its equilibrium (where it sits while at rest) can be modeled by the equation y(t) = eat (b cos(ft) + csin(t)). One can determine the coefficients a, b, c and 0, by solving a differential equation which incorporates the mass, spring stiffness, friction and so on, or, we can determine these coefficients by studying some data given by its motion. 1.5 1 0.5 -0.5 -1 fy(t) B D 3 The black curve is y(t), the position of the spring with respect to its equilibrium position. (a) Using the data A = (0, 1), B = (3,0), C = (1,-), D = (3,0) and E = (1, 1), find the corresponding equation for y(t).

1. Suppose we have a spring with attached mass hanging from the ceiling. The vertical displacement of the mass from its equilibrium (where it sits while at rest) can be modeled by the equation y(t) = eat (b cos(ft) + csin(t)). One can determine the coefficients a, b, c and 0, by solving a differential equation which incorporates the mass, spring stiffness, friction and so on, or, we can determine these coefficients by studying some data given by its motion. 1.5 1 0.5 -0.5 -1 fy(t) B D 3 The black curve is y(t), the position of the spring with respect to its equilibrium position. (a) Using the data A = (0, 1), B = (3,0), C = (1,-), D = (3,0) and E = (1, 1), find the corresponding equation for y(t).

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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