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2- A damped single degree of freedom mass-spring system has a mass m = 5 kg, a spring stiffness k = 3,125 N/m, and a damping coefficient c = 25 N. s/m. The mass is subjected to a harmonic force which has an amplitude F₁ = 20 N and frequency w₁ = 10 rad/s. The initial conditions are such that x0 = 2 cm and v₁ = x = 0 m/s. Determine the displacement, velocity, and acceleration of the mass after t = 1 s. Determine the magnification factor and phase angle.

2- A damped single degree of freedom mass-spring system has a mass m = 5 kg, a spring stiffness k = 3,125 N/m, and a damping coefficient c = 25 N. s/m. The mass is subjected to a harmonic force which has an amplitude F₁ = 20 N and frequency w₁ = 10 rad/s. The initial conditions are such that x0 = 2 cm and v₁ = x = 0 m/s. Determine the displacement, velocity, and acceleration of the mass after t = 1 s. Determine the magnification factor and phase angle.

Elements Of Electromagnetics
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
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2- A damped single degree of freedom mass-spring system has a mass m = 5 kg, a spring stiffness k = 3,125 N/m, and a damping coefficient c = 25 N. s/m. The mass is subjected to a harmonic force which has an amplitude F₁ = 20 N and frequency w₁ = 10 rad/s. The initial conditions are such that x0 = 2 cm and v₁ = x = 0 m/s. Determine the displacement, velocity, and acceleration of the mass after t = 1 s. Determine the magnification factor and phase angle.
Transcribed Image Text:2- A damped single degree of freedom mass-spring system has a mass m = 5 kg, a spring stiffness k = 3,125 N/m, and a damping coefficient c = 25 N. s/m. The mass is subjected to a harmonic force which has an amplitude F₁ = 20 N and frequency w₁ = 10 rad/s. The initial conditions are such that x0 = 2 cm and v₁ = x = 0 m/s. Determine the displacement, velocity, and acceleration of the mass after t = 1 s. Determine the magnification factor and phase angle.
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