vibrations, show all steps and solutions Consider translational motions of a vibratory system with a mass of 100 kg and astiffness of 100 N/m. When a harmonic forcing of the form F = Fo sin wt acts onthe mass of the system, where F₁ = 1.0 N. Determine the steady state responsesof the system and plot them for the following cases: i) w = 0.2 rad/s., ii) w =1.0 rad/s., and iii) w = 2.0 rad/s. consider the variable x is dynamic variable ofthe of the mass.

.Governing EquationThe equation of motion for the system is:m * x''(t) + k * x(t) = F0 * sin(ωt)…

Answered: Consider translational motions of a…

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 foot pedal for a musical instrument is modeled by the sketch in Figure P2.93. With k = 2000 N/m, c = 25 kg/s, m =25 kg, and F(t) = 50 cos 2πt N, numerically simulate the response of the system assuming the system starts from rest. Use the small-angle approximation. F(1) 0.05 m 0.05 m Figure P2.93 0.05 m m
Suppose a spring with spring constant 7 N/m is horizontal and has one end attached to a wall and the other end attached to a 2 kg mass. Suppose that the friction of the mass with the floor (i.e., the damping constant) is 1 N⋅s/m a) Set up a differential equation that describes this system. Let x to denote the displacement, in meters, of the mass from its equilibrium position, and give your answer in terms of x,x′,x′′. Assume that positive displacement means the mass is farther from the wall than when the system is at equilibrium. b) Find the general solution to your differential equation from the previous part. Use c1 and c2 to denote arbitrary constants. Use t for independent variable to represent the time elapsed in seconds. Your answer should be an equation of the form x=… c) Enter a value for the damping constant that would make the system critically damped. ?Ns/m
Give me right solution according to the question. Note: Don't copy from other websites solution if I noticed copied solution I will give dislike. Thank you
Q3. Consider a spring-mass-damper system with m 80 kg, c= 15 kg/s, and k= 1500 N/m with an impulse force applied to it of 1200 N for 0.01 s. %3D F(t)4 Fo t1 t2 F(t) m (A) Calculate the natural frequency of the system (B) Calculate the damping ratio of the system Calculate the damped natural frequency of the system (D) Calculate the system response to the impulsive force at time t 1 s
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Consider a mass-spring system that oscillates with frequency w when there are no external forces acting on it. Now, suppose that the mass attached to the spring is initially 8 cm and then the mass is let go with an initial velocity of 4 cm/s. Furthermore, at time t = 9 s the mass is struck, once, with a hammer force of 7 grs cm/s^2. The situation above can be described by the initial value problem y" + w y = K 8(t – c), y(0) = Yo, y' (0) = Y1, where, as usual, y(t) is the displacememnt of the spring from the equilibrium position in cm, positive downwards, at the time t in seconds, and the hammer strike is modeled by a Dirac's delta generalized function. Find the parameters K, c, yo and y1- К — Σ c = Σ Yo = Σ Y1 = Σ
Model the problem in terms of a differential equation
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A mass-spring-dashpot system with constants k = 0,6, c = 0,7 and m = 100 g makes mechanical vibration. The system is exposed to no external force. If the system is at rest, initial position and velocity are 2 m and 6 m/sn, respectively. Under these circumstances, find the general equation of certain motion using the "Method of Laplace Transforms". 1. %3D
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damper and the displacement and directed towards the Q3- Find (Cea) so that the fore (F) can be expressed as (F = Ceg v), where (v) is the velocity of rigid bar A. 象後3 路 4* 10N-s 中い! 0.25 s
A block of mass m = 5 kg is attached to a spring of spring constant k The block oscillates in simple harmonic motion on a frictionless horizontal surface. The block-spring total mechanical energy is 36.1 J. The maximum velocity of the block, vmax, IS. O 3 m/s 2.4 m/s O3.8 m/s O 2.1 m/s () 1.8 m/s Amusical note on a pjano has a frequency of 45 Hz. f the tension ih the 2-m

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