) A mass of 1 kg is suspended vertically from a spring and settles stationary at its equilibrium displacement position at x = 0. The stationary mass is then given an instantaneous velocity of 4.5 m/s. The damping coefficient of the spring is 7 Ns/m and spring constant is 10 N/m. If the motion of the spring is governed by d?x dx +с—+kх — 0 dt m dt? find the displacement x (t) of the mass at time t.

) A mass of 1 kg is suspended vertically from a spring and settles stationary at its equilibrium displacement position at x = 0. The stationary mass is then given an instantaneous velocity of 4.5 m/s. The damping coefficient of the spring is 7 Ns/m and spring constant is 10 N/m. If the motion of the spring is governed by d?x dx +с—+kх — 0 dt m dt? find the displacement x (t) of the mass at time t.

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

See similar textbooks

Similar questions

An oscillator system without damping has a natural frequency of omega 0 = pi rad/s. Several types of attenuation are given to the system to provide a damping factor (y) of 0.1, 0.5 and 1 s^-1. (a) For each damping factor value, determine the omega value of the oscillator!. (b) determine the displacement at time t = 2 seconds for the damping factor y = 0.5 , if the displacement at t = O is 30 mm and v = 1.5 m/s
PLs see the question in the attached file.
Mechanical Vibrations
Ggg
m k 0.61 0.61 Drive the equation of motion of the above structure using two methods comparing the equivalent Mass, Equivalent Spring stiffness, and Equivalent Damping Coefficient. 0.751
A particular naturally vibrating system is subject to damping. The system consists of a small mass m = 0.1 kg, the system stiffness k = 200 Nm-1 and the damping coefficient c = 0.25 kgs-1 . Determine the values of the natural and damped frequencies, the damping factor, damping ratio, periodic time and logarithmic decrement. Sketch and describe the nature of the motion
Please do it now
Consider the double mass/double spring system shown below. - click to expand. Both springs have spring constants k, and both masses have mass m; each spring is subject to a damping force of Ffriction -cz' (friction proportional to velocity). We can write the resulting system of second-order DEs as a first-order system, t' (t) = Au(t), with = (₁, 21, 22, 2₂) I For values of k = 4, m = 1 and c = 1, the resulting eigenvalues and eigenvectors of A are -0.039-0.248i 0.813 A₁2=-0.5±3.2i, v₁ = 0.024 +0.153i -0.502 -0.134-0.302i 0.409 -0.2160.489 0.661 (a) Find a set of initial displacements (0), 2(0) that will lead to the fast mode of oscillation for this sytem. Assume that the initial velocities wil be zero. A3,4 -0.5± 1.13i, z = and (2₁ (0), ₂(0)) = Enter your answer using angle braces, (and). (b) At what frequency will the masses be oscillating in this mode? Frequency rad/s
ASAP
Mechanical Vibrations Question is image
The mass of the system shown below is 10Kg. The mass is initially at rest when at time t=0, it is given an initial disturbance as shown. The viscous damping coefficient is 100NS/m and the spring stiffness, K is 100N/m. Which equation describes the movement of the mass. Disturbance Mess Spring Damper Select one: x(t) = A,e(-3+v??-1 )wnt + + A,e(-3-v²-1 )wnt a. %D O b. x(t) = (A, + A,t) e¯wnt %3D x = (A3cos wat+ A4sin wat)e-wnt Oc. %3D Next page ious page OType here to search
answer quickly