A mass of one kg stretches a spring 49 cm in equilibrium. It is attached to a dashpot that supplies a damping force of 4 N for each m/sec of speed. Find the steady state component of its displacement if it's subjected to an external force F(t) = 8 sin(2t) — 6 cos (2t) N. Note: The steady state component of the displacement is the solution obtained by setting all derivatives equal to zero. Therefore, in this case it is of the same form as the right-hand side of the ODE, that is, y(t) = A cos(2t) + B sin(2t). Just find A and B. y(t)

A mass of one kg stretches a spring 49 cm in equilibrium. It is attached to a dashpot that supplies a damping force of 4 N for each m/sec of speed. Find the steady state component of its displacement if it's subjected to an external force F(t) = 8 sin(2t) — 6 cos (2t) N. Note: The steady state component of the displacement is the solution obtained by setting all derivatives equal to zero. Therefore, in this case it is of the same form as the right-hand side of the ODE, that is, y(t) = A cos(2t) + B sin(2t). Just find A and B. 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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