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 = Om? (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 = Om? (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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![#9: 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?
1
(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 = Om? (If it never does, type dne).](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F1652026a-6ba6-42d7-9e35-ad3e7516e1ec%2F134c55d4-9975-4906-ae84-6454867e4f4e%2F04i17f2_processed.png&w=3840&q=75)
Transcribed Image Text:#9: 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?
1
(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 = Om? (If it never does, type dne).
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