QUESTION 2a) A single degree of freedom system with viscous damper is shown in Figure 3. The systemdriven by external forces, F = Fo cos cot. If m= 1 kg, k, = 11 N/m, k₂ = 14 N/m, c = 3N.s/m, c₂= 2 N.s/m, Fo= 100 and = 7 rad/s. Derive the total response of the system ifx(0)=0 and x(0) = Vo.Zm5IFigure 3Fo cos wt

Given: To find : Total response

a) A single degree of freedom system with viscous damper is shown in Figure 3. The system driven by external forces, F= Fo cos oot. If m= 1 kg, k, = 11 N/m, k₂ = 14 N/m, c = 3 N.s/m, c2= 2 N.s/m, Fo= 100 and oo = 7 rad/s. Derive the total response of the system if x(0)= 0 and x(0) = Vo. kı 111 CI Į Figure 3 Fo cos wt

a) A single degree of freedom system with viscous damper is shown in Figure 3. The system driven by external forces, F= Fo cos oot. If m= 1 kg, k, = 11 N/m, k₂ = 14 N/m, c = 3 N.s/m, c2= 2 N.s/m, Fo= 100 and oo = 7 rad/s. Derive the total response of the system if x(0)= 0 and x(0) = Vo. kı 111 CI Į Figure 3 Fo cos wt

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

Question 4 Consider a spring-mass-damper system with spring constant, k = 8000 N/m, mass, m = 20 kg, and damping coefficient, c = 40 N. s/m. The system has initial displacement of 0.1 m with initial velocity of 0 m/s under harmonic force excitation of F(t) = 400 cos 10t N. Evaluate: a) the steady state response of the system b) the total response of the system
+[Topl2D Wireframe) As shown in the figure F=50 N move in a pipe with V initial = 3 m/s and acceleration a=19 m/s2. there are enter the pipe (a spring k=30 KN/m and damper c=200 N.s/m)that are connected to a small mass m=2 kg, and all move together. determine the 1)time response 2) the total displacement at t= 0.8 seconds after clash. ww 0.7 m
A test was undertaken to find the dynamic properties of a SDOF system. The measured transient response recorded is shown in Figure QA2a. If the stiffness of the system is 1,000 N/m estimate: i) the damping ratio, ii) the undamped natural frequency, and iii) the mass of the system. Displacement (m) 0.08 0.06 0.04 0.02 O -0.02 -0.04 -0.06 -0.08 Figure QA2a 0.5 Time (s) 1.5 2
a) A vehicle circulates on a road as shown in Figure Q2a. The road profile can be modelled as the input u(t). The vehicle is modelled as a quarter car of mass m, and the suspension has a spring stiffness coefficient k = 2 Nm and a damper of coefficient c = 2 Nm s. Find the position of the mass, y(t) and any time t if the road profile is a unit step. m 一 Road Figure Q2a b) In Figure Q2b, a disk flywheel J of mass m 32 kg and radius r = 0.5 m is driven by an electric motor that when it is working produces an oscillating torque of Tin = 10sin(wt) N- m. The shaft bearings may be modelled as viscous rotary dampers with a damping coefficient of BR = 0.4 N-m-s/rad and stiffness coefficient KR = 2 Nm If the flywheel is at rest at t 0 and the power is suddenly applied to the motor, do the following [Hint:J = mr²/2]: (i) Find the natural frequency of oscillation of the disk expressed in Hz. (ii) Find the damping ratio for this system. (iii) Describe in no more than 3-4 lines the behaviour of the…
T C We consider a rotating shaft. A torque T is applied, resuting in a rotation of the shaft. The bearing system and the output connections yield a viscous damping torque D. T: input torque 2: output angular velocity Dan: viscous damping = J: moment of inertia Governing equation (obtained using Euler equation for rotating solids): JN+an = T αΩ
2. Consider a car suspension, modeled as a mass/spring/damper system (mass m, stiffness k, damping b). Suppose the height of the chassis is lo at rest, the height of the terrain below the driver varies as h(t), and the height of the chassis is denoted lo + y(t). (i.e., spring deflection away from rest is y(t) – h(t)). 2 (a) Give the transfer function G(s) = H(s) · = (b) Suppose the ground follows an oscillatory profile h(t) A cos(wx (t)) with magnitude A (in meters) and frequency w (measured in radians per meter). Suppose the car is traveling at a constant forward speed v. Using a frequency response analysis strategy, give the amplitude of oscillations experienced by the driver at steady state as a function of m, k, b, A, w, and v. Hint: You can't simply consider |G(iw)| to get the amplification in this case. (c) Suppose the ground varies by A = 5cm, w = 2 rad/m, and you are driving at v = 15 m/s. Using your answer to part (b), what amplitude of oscillation is felt by the driver when m…
Look at the below system. Assume that the forcing function is a sine and cosine response (i.e., F = Focos(wt) and F = Fösin(wt)). If your system has the following variables: m= K= 15 kg 207 F₁ = 168 w = w₁/2 Xo = 1 m/s Vo = -1 m/s Plot both responses of the system.
Handwritten answer pls.
1. Determine the driven response for: Bi k B2 k mi m2 Given: ID k spring constant, mě – mass, B: - damping coefficient, F(t) Initial data: ID = 500351 ID % 4 = 1
Task 2 External Force Damper Damper mass mass Smooth SurtaceH No Friction Spring Spring Consider the above spring-mass-damper system. Let the mass m= 1 kg, spring stiffness k= 1 N/m and damping coefficient b = 1 N.s/m. (a) What is the number of degrees of freedom? (b) Find the Mass, Damping and Stiffness matrices. (c) Find the natural frequencies and mode shapes. (d) If the damping coefficient, b, is zero and he external force is At) = sint, find the steady state position amplitude for the two masses.
:) Determine the equivalent mass of the system shown in Figure Q.A3c. X m 2r m Figure Q.A3c. m WE For the system shown in Figure QA1a write appropriate response variables and find the degrees of freedom. r= 10 cm /= 1.5 kg-m² m = 10 kg nollos 2k
What is the step response of the dynamic system pictured below?