Consider a simple spring mass damper system with m=55x10A-3 kg, c = 0.12 kg/s, and k = 859 N/m. Calculate thevalue of the steady state response if w = 120 rad/s and fo- 12 N/kg.O A Damping ratio = 0.00973Natural frequency = 114.97 rad/sAmplitude displacement for Steady state response(X) = 0.00864 mDamping ratio = 0.00773Natural frequency = 134.97 rad/sAmplitude displacement for Steady state response(X) = 0.01964 mO C. Damping ratio = 0.00873Natural frequency = 124.97 rad/sAmplitude displacement for Steady state response(x) = 0.00964 m

Answered: Image /qna-images/answer/2d54a3e7-83e4-493f-a938-bf995723ec81.jpg

Consider a simple spring mass damper system with m= 55X10A-3 kg, c- 0.12 kg/s, and k = 859 N/m. Calculate the value of the steady state response if w - 120 rad/s and to - 12 N/kg O A Natural frequency = 114.97 rad/s Damping ratio = 0.00973 Amplitude displacement for Steady state response (X) = 0.00864 m B. Damping ratio - 0.00773 Natural frequency 134.97 rad/s Amplitude displacement for Steady state response (X) 0.01964 m OC. Damping ratio - 0.00873 Natural frequency 124.97 rad/s Amplitude displacement for Steady state response (x) - 0.00964 m

Consider a simple spring mass damper system with m= 55X10A-3 kg, c- 0.12 kg/s, and k = 859 N/m. Calculate the value of the steady state response if w - 120 rad/s and to - 12 N/kg O A Natural frequency = 114.97 rad/s Damping ratio = 0.00973 Amplitude displacement for Steady state response (X) = 0.00864 m B. Damping ratio - 0.00773 Natural frequency 134.97 rad/s Amplitude displacement for Steady state response (X) 0.01964 m OC. Damping ratio - 0.00873 Natural frequency 124.97 rad/s Amplitude displacement for Steady state response (x) - 0.00964 m

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 engine valve assembly depicted is figure; where k = %3D 857.8 N/m; c =7.8 kg/s, and m =0.0492 kg, calculate the natural frequency and damped frequency in rad/sec and Hz. What critical damping value, damping ratio and what damping ?case is this system * pivot. rocker arm m cylinder head valve spring k combustion chamber pressure إجابتك www
(a) The position-time plot of a spring-mass-damper system is as shonn Find the damped frequency. Find the logarithmic decrement. Find the damping ratio. Spring Mass Damper 12 Time Position
An engine valve assembly depicted is figure; where k = 857.8 N/m; c =7.8 kg/s, and m =0.0492 kg, calculate the natural frequency and damped frequency in rad/sec and Hz. What critical damping value, damping ratio and what damping * ?case is this system pivot rocker arm m cylinder head valve spring k combustion chamber pressure ww
Consider the vibration isolation problem from base excitation. Instead of modeling the isolator as a spring and damper placed parallel to each other, model the isolator using the standard linear model. k m base k₁ motion Develop an expression for the displacement transmissibility of the isolator in terms of the normalized forcing frequency, damping ratio, and the ratio of the two spring constants: y = k₁/k Discuss the influence of the stiffness ratio on the performance of the isolator. For a damping ratio of 0.01 and stiffness ratio of 0.05, use the transmissibility curve to find the effective damping ratio of the isolator (this is equivalent to having a spring and damper in parallel). Can the equivalent damping ratio reproduce the transmissibility curve accurately? Discuss. Provide one specific application where it is necessary to use the standard linear model.
For small positive damping, c, in the sinusoidally forced mass-spring system ma" + ca' + ka = Ggcos (wt) there is a value of the forcing frequency w for which the amplitude of the response is greatest - a resonance peak. very light darmping moderate damping very heavy darmping forcing frequency, w Derive a formula for the location of the peak in terms of the parameters in the differential equation (m, c, k; Go). So the location of the peak depends on the damping . Where does the peak move to as the damping constant c is reduced to zero? Does the above frequency have a name? amplitude of response
A single-degree-of-freedom damped ocillator with natural period, TO=1.0 s and viscous damping ratio, & = 0.05 is subjected to a ground induced acceleration rectangular pulse with amplitude ag=0.5g and duration Tp=0.5 sec. Compute analytically and plot the exact response of the structure up to a time tf=5 s.Compute the same time history response by integrating numerically the Duhamel integral. Plot the two solutions (analytical and numerical) one on top of the other
Q5: Find the equation of motion, natural frequency @ critical damping coefficient C., damping ratio , logarithmic decrement &, and damped frequency @ for the system shown in Fig. (5). Figure (5) IT TE X m=10kg C =500 N.s/m K-1000 N/m wwwww Pulley. Jo-1 kg.m²
An engine valve assembly depicted is figure; where k = 857.8 N/m; c =7.8 kg/s, and m =0.0492 kg, calculate the natural frequency and damped frequency in rad/sec and Hz. What critical damping value, damping ratio and what damping case is this system? *
The motion of a spring-mass-damper system satisfies the initial value problem: d²x m- +bd + kx = F, x(0) = 0; *(0) =1 di? dt Given m = 1 kg, b= 5 Ns/m, k = 4 N/m, and F = 5 N. (a). What is the natural frequency of the system? (b). Is this system under damping or critical damping or over damping? Explain it. (c). Solve the given initial value problem. (d). The location of poles of X(s) affects the behavior of the system. How to choose parameters b/m and k/m so that the poles are placed at - 4+4j?
Consider a SDOF system having a mass m = 30 kN s2 /m, damping c = 50 kNs/m and stiffness k = 4000 kN/m. Determine natural frequency, damping ratio and critical damping. For x(0) = 0.02 m, and x . (0) = 0.1 m/s. Find the solution of the equation of motion. Hence, plot inertia, damping and spring force vs time for free vibration.
The following data is given for the spring-mass-damper system shown in Figure 1: • K1 = 250 N/m, K2 = 350 N/m • C1 =150 N/ (m/sec), C; = 200 N/ (m/sec) • m= (25 + 2) kg Detemine: i The undamped natural frequency. ii. The damping ratio. ii. The damped natural frequency. iv. Response of the system x (t)for given initial conditions: xo = 0.005 m and vo = 5 m/sec. x(t) k 1 k 2 m C1 C2 Figure 1
For the shown spring-mass-damper system. Let m =1 kg, b = 2 N.s/m, k = 2 N/m and t) = sin2t N. (a) Write the equation of motion. (b) Find the amplitude of the steady state oscillations. (c) In steady state, find the time delay in seconds between the mass position and (t).