Lab 3

Solve it correctly please. I

The 8kg body is moved to the right of the equilibrium position and released from rest at time t = 0. The viscous damping coefficient is 23NS/m and the spring stiffness, K is 38N/m. Determine the damping factor (ratio) of the system. Note: Give your answer to 3 decimal places. Other Parameters: Logarithmic Decrement (8): Answer: 2ng 2T C 8 = In = In1 = 5 wnTd = 5wn X2 Xn+1 1-5 wa 2m k Damping Ratio (5): 5= 2vkm 2mn V(21)2+8 Frequency of damped vibration (wa): wa = 1-Wn Undamped Forced Vibration: Frequency Ratio (): r- Xp-x sin w t Next page Hous page Type here to search

ġ(t) ти x(t) k v(t) ➤f(t) Figure 1: A model of piezosensors Figure 2: A load cell to measure force 2. A start-up company aims to develop a load cell that measures forces varying quickly with respect to time. An initial design consists of a linear spring and a dashpot in series; see Fig. 2. The spring has a spring constant k, and the dashpot has a damping coefficient c. When a force f(t) is applied, the displacement (t) is measured. By measuring the displacement z(t), 1 the company hopes to reconstruct the force f(t). The transfer function from f(t) to x(t) is given as H(s) cs+k cks (2) Answer the following questions (a) What is the frequency response function G(w) from fƒ(t) to x(t)? (b) Derive the magnitude |G(w)| and phase LG(w). Each should be a function of the driving frequency w. Identify a cutoff frequency we, above and below which |G(w)| behaves very differently. Derive asymptotic behavior of |G(w) when w> we (c) Sketch the Bode plot of the magnitude |G(w). Show the cutoff…

Pravinbhai

Vibrations

in this scenario, when it comes to matrix iterations it states this system is assumed out of phase. why is this?

QUESTION 3 Consider a system model given by d²x (t) dx (1) dt² dt x (0) = 1 dx (t) dt 3e What is the impulse response function? sint -21 - 4e 3e +4- =0 sint + e -21 = 1. -2t -2t sint + e sint + e cost - 2t + 5x (t) =f(t) sint - 2e cost + 2 -2t -21 cost + 2 cost sint - 2cost + e-

Consider a system whose model is given by m dx²(t) dt² +c dx(t) dt -+kx(t)=5, where m = 1, c = 5, and k = 10. Which of the following statement(s) is (are) true? Select all that apply. The homogeneous solution has the form of x(t) =C₁e - t - t n This is a critically damped system. This is an over-damped system. This is a unstable system. This is a under-damped system. This is an asymptotically stable system. The homogeneous solution has the form of x(t) =e -500 1 n (C₁cosa +C₂sina}). The homogeneous solution has the form of x(t) = C₁e³¹² + C₂e²²

2. The equation of motion for a damped multidegree of freedom system is given by Where [m] = [m]{x} + [c]{x} + [k]{x} = {f} [100 = 0 0 0 10 0 10. 1000-4 {f} [c] 8 –4 0 8 – 4 -4 4 0 8 4 = 100 2 0 = Focos(wt) -2 -2 The value of Fo 50N and w 50 rad/sec. Assuming the initial conditions to be zero and using the modal coordinate approach, find out the steady state solution of the system in the modal coordinate for first mode. Plot the steady state solution using the computational tools. 0 −2], [k] = = 2

please be specific and expain will upvote if correct

need correctly and urgent

Show all steps and solutions. Screenshot matlab code

Given the model b. For the stable case, for what values of μ is the system 1. Underdamped? 2. Overdamped? O * – (μ + 2)x + (2μ + 5)x = 0 μ = -2 or μ = -2.5 = Ο μ = 2 or μ = 2.5 = O Ο μ = -2 or μ =-5 = μ = 2. 5 or μ = -3.5 = —

A mass-spring system is driven by the external force g(t) = 2 sin3t + 10 cos 3t. The mass equals 1, the spring constant equals 5, and the damping coefficient equals 2. If the mass is initially located at y (0) =-1, with initial velocity y' (0) = 5, find its equation of motion to find y (1). Round up the answer to the second decimal place point.

What is the minimum dampening ratio for an underdamped system such that its overshoot is limited to 10%? This image is my scratch work based of an in-class problem. I'm unsure of the steps and the final equation for Zeta. It also puts out a different number that my professor wrote…

Vibrations please help

vibrations, please help

Vibration

What is the damping ratio of the following system transfer function? 27 G (s) = s2+1.8s+9 0.9 0.3 O 0.1

15 The solution to free vibration of a damped single degree of freedom system is a. x(t) = Ae"Sin(o,t+n) b. x(t) = Ae"Sin(o,t+2) c. x(t) = ASin(@,t+o) d. x(t) = Ae"Sin(o,t+q) %3D

please find the soultion and explain will upvote if correct