Plz ASAP written clearly. 1. The system shown is is subjected to the base-excitation Determine a)...
plz ASAP! written clearly! thank you so much ! 2 Forthe system shown K=576lbia, M=4 hsin. a. The equation of motion and the response Flt) asfinction oftime when C=192 sin, and is subjected to barmonic force F(t) Cos (10 b. Rescrance freguency. Stow your work
Pls ASAP written clearly! 4 FLt) 4?The system (M-2 kg, and K-800 N/m) shown is subjected to F(0)-45 Sin (20t) N.Determine: the equation of motion.(5 points) a. b. the response of the system.(10 points)
The SDOF system in Fig. P4.10 is subjected to harmonic excitation z(f) = Z cos £2i applied at point P. Express your answers to the following in terms of the givens: m, c, k, Z, and £2. (a) Derive the equation of motion of the system with the absolute displacement u(t) as the unknown, (b) Derive the equation of motion of the system with the relative displacement iv(t) = z — u as the unknown, (c) Determine expressions for co„...
F Fosin t m k 2 Figure Qla: System is subjected to a periodic force excitation (a) Derive the equation of motion of the system (state the concepts you use) (b) Write the characteristic equation of the system [4 marks 12 marks (c) What is the category of differential equations does the characteristic equation [2 marks fall into? (d) Prove that the steady state amplitude of vibration of the system is Xk Fo 25 + 0 marks (e) Prove that...
NOTE: this is base excitation not force vibration. 1: For the single degree of freedom system driven by a harmonic base motion we discussed in the class. The governing equation is given by mž + ci + kx = cy + ky Where y(t) = Y sin wt and w is the driving (excitation) frequency. Given the initial conditions are x(0) = x, and (0) = v.. Combine the homogeneous and particular solutions and satisfy the initial conditions to obtain...
Question Four (a) Determine the response x() for the undamped system subjected to the force F as shown below and given by: ts 0.1s F(t) =-600t +120 0.1 <t s 0.2 s t> 0.2s 600t 0 The mass is initially at rest with x 0 at time 1 0. (b) Find the displacement of the mass at 1 0.25 s. k 75 N/m 0.75 kg F), N 1, S 0.2 0.1 Question Four (a) Determine the response x() for the...
09. For the two degrees of freedom system shown in Figure 4, determine the steady state response of the system due to a sinusoidal force Fi() 10sin10r applied to the mass block whose displacement isn. Given m = 10 kg, k = 1000N rn and the equations of motion of the system are -지 3m 09. For the two degrees of freedom system shown in Figure 4, determine the steady state response of the system due to a sinusoidal force...
Show a sketch clearly labeling all of the voltages and currents, and determine the governing differential equation as indicated. please show steps 6. The electro-mechanical system shown below consists of an electric motor with input voltage V which drives inertia I in the mechanical system (see torque T). Find the governing differential equations of motion for this electro-mechanical system in terms of the input voltage to the motor and output displacement y. Electrical System Vbas -Motor Motor Input Voltage bMotor...
The cart shown in Figure 3 is connected to the wall by spring kA. It weighs 20 kgf and the system parameters are given as kA-800 N/m, kB = 600 N/m, CA-2 N sec/m, and g 9.81 m/sec2. The springs kA and kB are initially unstretched, and the mass m is at rest. For 0 < 3. K ta (t,-6n), the plate at the end of the spring-damper combination has motion defined by an Xp(t) = 25t mm. After t...
A vibration isolation system for a 1-DOF mechanical system is shown below. Displacement of the mass x is measured from the static equilibrium position and the system parameters are m = 0.3 kg. k=10N/m, b = 4.4 Ns/m, and by = 0.5 Ns/m. Fixed 1. TI W Fixed base Figure / sehen voulon tem a) Derive the mathematical model of the system. Make sure you have the FBD and all equations and signs are properly showcased. b) Use the system...