Please solve the question attached below, Thank You! 2. (4 pts) The magnitude of the inertance frequency response function of a very lightdamped single degree of freedom system is presented in Fig. 2.a) Obtain the natural frequency in rad/s and Hz.b) Calculate the mass and the stiffness of the system.Hint Because the system is very light damped, you can consider that the dampedfrequency is equal to the natural frequency.5412204060Hz80100120Fig. 2 The magnitude of the inertance frequency response function of a singledegree of freedom system

Answered: 2. (4 pts) The magnitude of the…

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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3. b W 2000N/m 100 kg x (t) Figure 2 By referring to Figure 2, compute the value of the damping coefficient, b of this system if the frequency of damping system is 4.46 Hz.
USE MATHLAB WITH CODES Estimate the damping ratio, stiffness, natural frequency, and mass of the SDOF system. Please use a MATHLAB with CODES and no negative damping ratio. Data Set 1:Time(s) Data Set 1:top1(g) Data Set 1:bottom(g)0 0.002593181 0.007262860.01 0.011367107528507709 -0.0015110660.02 0.007467585 -0.0058980290.029999999999999999 0.004542943 0.0028758970.040000000000000001 0.018678712689042091 -0.0019985060.050000000000000003 0.004542943 0.0009261360.059999999999999998 0.014779189431130886 -0.0068729090.070000000000000007 0.004055502 -0.0088226710.080000000000000002 0.008442465 -0.0015110660.089999999999999997 0.011854547366917134 -0.0039482670.10000000000000001 0.007467585 0.0058005390.11 0.004055502 0.0043382180.12 0.010392226334810257 0.0019010160.13 0.010392226334810257 -0.001998506% 0.14000000000000001 0.016728950301647186 0.0048256580.14999999999999999 0.007955025…
By what factor does the amplitude change in one period of these damped oscillations?
Vibrations please help
please find the soultion and explain will upvote if correct
For the system shown in Figure 2, u (t) and y (t) denote the absolute displacements of Building A and Building B, respectively. The two buildings are connected using a linear viscous damper with damping coefficient c. Due to construction activity, the floor mass of Building B was estimated that vibrates with harmonic displacement that is described by the following function: y(t) = y,cos (wt). k/2 Building A H k/2 M(t) C 73(1) Building B Equivalent (Building A) 00000000 Figure 2: Single-degree-of-freedom system in Problem 2. 111 uft) Please compute the following related to Building A: (a) Derive the equation of motion of the mass m. (b) Find the expression of the amplitude of the steady-state displacement of the mass m. (1) (Building B)
A mass of 10kg oscillates at the end of a spring of stiffness, 5N/m. If the damping in the system is such that it gives a damping ratio of 0.45, determine. i) The critical damping. ii) The value of the damping coefficient. iii) The damped natural frequency. iv) The equation for the displacement if the initial velocity is 0.025m/s, and the initial displacement is 0 m.
Figure 1 shows the vibration response of a spring-mass system (Figure 2) under initial disturbance. The response was recorded using an accelerometer (g = 9.81 m/s?). a) Determine the natural frequency of the system in rad/s. b) Determine maximum velocity and displacement. c) If another spring with equivalent stiffness is attached to the system, calculate the period of oscillation. 0.1 0.05 -0.05 -0.1 0.2 0.4 0.6 0.8 1 1.2 1.4 1.6 1.8 2 Time(s) Figure 1 k m Figure 2 (6)epnyduy
4. A convenient way to measure damping in a single-degree-of-freedom system is called logarith- mic decrement of free response. Consider the free response given by (4). Let's denote t₁ and t2 denote the times corresponding to two consecutive displacements ₁ and 2 measured one cycle apart, i.e., where t₂ = t₁ + T 2π Wd According to (4), show that the logarithmic decrement dis T = x1 8 = log = x2 where log has base e. Combine (5), (7), and (8) to obtain = (WnT 8 4π² +8² Will this method work for other initial conditions? why?
I need answer typing clear urjent
3. Consider the following system described below (parameters and inputs are in SI units): Im = 0.4 R = 0.18 k=30 b = 0.2 M m = 6 b=20 www Im T(t) = 2 R Mr Bammy Note: b is the damping coefficient between the mass and the ground (it is shown as c in the diagram, but we will use b). Complete the following: a) Find an equation of motion for the simplified equivalent mass system. Assume that the shaft between the inertias is rigid. b) Find the equations of motion in state variable form for this system. You should end up with 2 state variable equations. c) Numerically solve for the state variables and plot each state variable versus time. Assume, that the mass is initially displaced a distance of 0.1 in the positive direction and the mass velocity is initially zero. Also plot the spring force and damping force. d) This system is required to have a maximum displacement overshoot that is less than 15% of the steady state value to avoid the rack impacting another portion of the machine.…
A mass of 7.9 kg oscillates at the end of a spring of stiffness 26.1 Nm-¹. If the damping ratio is 0.2, determine the damped natural frequency in rad/s. (Express answers to 2dp) Answer:

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