A structure that can be idealized as a SDOF system has a mass 100 kg, a stiffness of 40 kN/mand a damping ratio of 0.10. If it is subjected to a harmonic dynamic force given by p(t) = 500sin(15 t) N, determine (a) the dynamic amplification under steady-state conditions; (b) themaximum velocity of the steady state vibration; and (c) the maximum amplitude if the forcingfrequency was equal to the system frequency (a resonant condition).

Answered: Image /qna-images/answer/c9fac964-2930-4c69-a50a-c48bff2497b0.jpg

Answered: A structure that can be idealized as a…

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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sum - 1 : determine magnification factor of forced vibration produced by oscillator fixed at middle of the beam at a speed of 600 rpm. The weight concentrated at the middle of the beam is 5000 N and produces statically deflection of the beam equal to 0.025 cm. Neglect the weight of the beam and damping is proportional to velocity of 2.5 cm/sec and force = 500 N sum - 2 : An automobile whose weight is 150 N and it is mounted on 4 identical springs due to its weight it sags by 250 mm . each shock absorber has damping coefficient of 0.4 N for a velocity oof 30 mm/sec. The car is placed on a platform which moves vertically at resonance speed having an amplitude of 10mm. Find the amplitude of the car Sum - 3: A SDOF has undamped natural frequency of 7 rad/sec. and a damping factor of 10%. The initial conditions are x0 = 0 and V0 = 0.5 m/sec. Find damped frequency and equation of motion of the system Sum- 4; A SDOF system with a mass 25 kg and stiffness 10 N/mm with damping 0.15 Ns/m…
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In a damped single-degree-of-freedom system with a mass of m = 10 kg, stiffness coefficient k = 4000 N/m, and damping coefficient c = 40 Ns/m, the excitation force's amplitude is Fo 60 N, and its natural angular frequency is wf = 40 rad/s. Determine the forced vibration amplitude and phase angle. =
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A single degree of freedom mass-spring-damper system is subject to vibration under the influence of a harmonic force. On my site, it is given as m=2 kg, k=800 N/m, c=64 Ns/m. The amplitude of the harmonic force is F0=256 N and its frequency is w= 20 rad/s. Answer the questions in options a, b, and c according to the given information. 1) Calculate the damping ratio of the system (ξ) a.1 b.0.7 c.0.9 d.0.8 2)Calculate the magnification factor (M) of the system. a.0.86 b.1.25 c.0.312 D.0.625 3-) Calculate the maximum vibration amplitude (X) (meters). a.0.2 b.0.1 c.0.4 D.0.3
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A mass of 5 kg is suspended on a spring and set oscillating. It is observed that the amplitude reduces to 5% of its initial value after 2 oscillations. It takes 0.5 seconds to complete two oscillations. Calculate the following: the damping ratio the natural frequncey the actual frequency spring stiffness the critical damping coefficient the actual damping coefficient

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