- Find the position and velocity at t = 4 s.
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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Transcribed Image Text:2. A particle on a damped spring has an acceleration of x = -5x -0.2x. It has an initial position of x(0)
m
= 2 m and an initial velocity of x (0) = 3. Find the position and velocity at t = 4 s. Assume all values are
given to three significant figures. Please use any method learned in class: Trial Solution Method, Euler
Method, or Laplace Transformation. Show all work.
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Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step 1: Write the acceleration equation in differential form.
VIEWStep 2: Find the roots of the auxiliary equation.
VIEWStep 3: Find the complementary function for given roots.
VIEWStep 4: Calculate the value for constant B.
VIEWStep 5: Find the position at t=4 s.
VIEWStep 6: Find the velocity at t=4 s.
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