Obtain the differential equation of the system as shown in figure
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INTRODUCTION TO MECHATRONICS. (Fluid System) 2) In the liquid level system shown in Figure, the resistances R = R, R, = 2R, and the inputs are the pressure source , and volume flow rate ĝe. • Obtain the differential equation model for the height h, assuming that h>D.
44. The system shown in Fig. P7 consists of a slider block of mass m2 and a uniform slender rod of mass m3, length 13, and mass moment of inertia about its center of mass J The slider block is connected to the ground by a spring that has a stiffness coefficient k. The slider block is subjected to the force F(t), while the rod is subjected to the moment M. Obtain the differential equations of motion of this two-degree-of-freedom...
Problems 47 2.56. Determine the differential equation of motion for free vibration of the system shown in Fig. P2.56, using virtual work m/ft FIGURE P2.56 Problems 47 2.56. Determine the differential equation of motion for free vibration of the system shown in Fig. P2.56, using virtual work m/ft FIGURE P2.56
Matlab Homework #4: Matlab Linear Systems Simulation 1.) Obtain the differential equation for the mechanical system shown below bi FLR) orce CN) voltege ) 2.) Obtain the differential equation for the electrical system shown below shown below OAF 3.) Find the transfer functions corresponding to the differential equations found in questions I and 2 the 4) Let the input force applied to the block of the mechanical system be zero U)-のThe initial conditions are y(0) = 10 cm and dy(0)d-0....
Question8 n the spring-mass-damper system in Figure 8, the force F, is applied to the mass and its displacement is measured via r(t), whilst k and c are the spring and damper constants, respectively x(t) Figure 8: A spring-mass-damper system. a) Obtain the differential equation that relates the input force F, to the measured dis- (6 marks) placement x(t) for the system in Figure 8. b) Draw the block diagram representation of the system in Figure 8. c) Based on...
Write the differential equation of motion for the system shown in the figure, and find the damped natural frequency and damping ratio of this system.
5. Figure 5 shows an electrical network, i) obtain the differential equations of the network and nofind the transfer function F(s) show that the same transfer function is obtained 12(s)/Vin(s); ii) Analyse the circuit in the s-domain and R. C i2(t) Vin(t) L Figure 5. Electrical Network 4. Find the transfer function X2(s)/F(s) of the spring-mass system shown in Figure 4. The system moves over a frictionless surface. h M2 M1 Figure 4. A 2 DOF spring-mass system over a...
For the system shown in Figure P2.30, obtain the equation of motion in terms of x. Neglect the mass of the L-shaped arm.
use R=1Ω, L=1H and C= 1/5 F Instead (c) In the circuit shown in Figure P2.61(c), x(t) is the input voltage. The voltage y(t) across the capacitor is considered to be the system output wwww L 1H R=20 + y(t) x(t) C (c) Figure P2.61c (i) Determine the differential equation relating x(t) and y(t) (ii) Show that the homogeneous solution of the differential equation from part (i) has the forme "{K\ej2 + K2e"j2r}, and specify the value of a (iii...
In the pulley system shown in Figure P2.33, assume that the cable is massless and inextensible, and assume that the pulley masses are negligible. The force f is a known function of time. Derive the system's equation of motion in terms of the displacement. For the system shown in Figure P2.34, the solid cylinder of inertia I and mass m rolls without slipping. Neglect the pulley mass and obtain the equation of motion in terms of x.