A mass attached to a spring, set in a container of molasses(a thick liquid) acts like a damped simple harmonicoscillator. The mass is 64 kg, the spring has a springconstant of 9 N/m and the molasses provides a dampingforce of 48 N. s/m.(a) The system is(A) underdamped(B) overdamped(C) critically damped(b) A force of F(t)-2e-3t/8(in N) is applied to themass. If the method of undetermined coefficients isused to find a particular solution, which of thefollowing is the best choice as a trial solution?(c) Initially, at t = 0s, our mass is moving at a speed of 5m/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 passthrough x = 0m? (If it never does, type dne). (A) (At² + Bt) e 31/8(B) Ate-31/8(C) (A²+ Bt+C)e-31/8(D) At sinh(3t/8) + Bt cosh(31/8)(E) (At+B)e-3t/8(F) Ae-3t/8(G) At-e-3t/8(H) A sinh(3t/8)+ B cosh(3t/8)

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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 64 kg, the spring has a spring constant of 9 N/m and the molasses provides a damping force of 48 N. s/m.

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 64 kg, the spring has a spring constant of 9 N/m and the molasses provides a damping force of 48 N. s/m.

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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