A mass attached to a spring, set in a container of molasses (a thick liquid) acts like a damped simple harmonic oscillator. The mass is 16 kg, the spring has a spring constant of 64 N/m and the molasses provides a damping force of 64 N-s/m. (a) The system is (A) underdamped (B) overdamped (C) critically damped (b) A force of F(t) = −3e-2t (in N) is applied to the mass. If the method of undetermined coefficients is used to find a particular solution, which of the following is the best choice as a trial solution? (c) Initially, at t = 0s, our mass is moving at a speed of 5 m/s as it passes through its equilibrium position (x = 0m). If we are still under the force from part (b), at what positive time, in seconds, does it again pass through x = 0m? (If it never does, type dne).

A mass attached to a spring, set in a container of molasses (a thick liquid) acts like a damped simple harmonic oscillator. The mass is 16 kg, the spring has a spring constant of 64 N/m and the molasses provides a damping force of 64 N-s/m. (a) The system is (A) underdamped (B) overdamped (C) critically damped (b) A force of F(t) = −3e-2t (in N) is applied to the mass. If the method of undetermined coefficients is used to find a particular solution, which of the following is the best choice as a trial solution? (c) Initially, at t = 0s, our mass is moving at a speed of 5 m/s as it passes through its equilibrium position (x = 0m). If we are still under the force from part (b), at what positive time, in seconds, does it again pass through x = 0m? (If it never does, type dne).

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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