For the single degree of freedom system shown below in Figure Q6, and considering only the steady state solution, calculate the amplitude of the displacement of the mass, m, in m(Express answers to 3sf)kwwmAnswer:F sinctFigure Q6The system parameters are: mass, m = 11.7 kg, stiffness, k = 512.8 N/m, damping coefficient, c = 5.9 Ns/m, Force input, F = 51.1 N, and forcing frequency, w = 15.0 rad/s.

In order to solve this problem, we must first determine the natural frequency of the vibration and…

Answered: For the single degree of freedom system…

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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a) A vehicle circulates on a road as shown in Figure Q2a. The road profile can be modelled as the input u(t). The vehicle is modelled as a quarter car of mass m, and the suspension has a spring stiffness coefficient k = 2 Nm and a damper of coefficient c = 2 Nm s. Find the position of the mass, y(t) and any time t if the road profile is a unit step. m 一 Road Figure Q2a b) In Figure Q2b, a disk flywheel J of mass m 32 kg and radius r = 0.5 m is driven by an electric motor that when it is working produces an oscillating torque of Tin = 10sin(wt) N- m. The shaft bearings may be modelled as viscous rotary dampers with a damping coefficient of BR = 0.4 N-m-s/rad and stiffness coefficient KR = 2 Nm If the flywheel is at rest at t 0 and the power is suddenly applied to the motor, do the following [Hint:J = mr²/2]: (i) Find the natural frequency of oscillation of the disk expressed in Hz. (ii) Find the damping ratio for this system. (iii) Describe in no more than 3-4 lines the behaviour of the…
Look at the below system. Assume that the forcing function is a sine and cosine response (i.e., F = Focos(wt) and F = Fösin(wt)). If your system has the following variables: m= K= 15 kg 207 F₁ = 168 w = w₁/2 Xo = 1 m/s Vo = -1 m/s Plot both responses of the system.

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