Please use simulink in Matlab to complete the tasks In this exercise, you will model the vehicle speed. We will develop a linear continuous-time model for the speed of a vehicle with mass m [kg], see Fig. 1.1. Denote the velocityof the vehicle v [m/s]. The rate of change of the velocity is the acceleration v (m/sr).Assume that the engine imparts a force u(t). Assume that friction slows the car down andis proportional to the velocity, i.e. friction force equals by where b is a friction coefficient.Finally, assume that the rotational inertia of the wheels and that aerodynamic drag arenegligible.bvFigure 1.1: 1st order system of vehicle speed.Using Newton's Law F=ma, we can write the net force:u(t) — bv = miWe re-arrange the equation tomb- v+v=mu(t)bTZu(t)(1.1)This is a 1st order differential equation, see the general 1st order equationTx + x = Ku(t)(1.3)where x is the output variable (here: speed, not position), u(t) is the input variable(engine force), 7 is the time constant and K is the steady state gain. Here,1(1.2) A way to represent Eq. (1.3) is to develop a transfer function of the model, as follows:dxd²xdn xdt(1.5)dtdtIn our case, the differential equation in Eq. (1.3) can be developed asTx + x = Ku → 7sx + x = Ku.By re-arranging the transfer function, relating the input u(t) to the output xKTS + 1We assume, T = 5 and K = 80, then the model becomesx== sx ; ï=X =Step= s²x;X =-U805s +1n= Sx-U(1.8)Task 1: Create the block diagram shown in Fig. 1.2 in Simulink by identifying the appro-priate blocks from the Simulink Library, and enter the required parameters.805s+1Transfer FonFigure 1.2: Block diagram, exercise 1.(1.6)Scope(1.7)Task 2: Graph the result in the scope for 3 different value combinations of 7 and K. Describehow the shape of the response depends on those two values in your report.

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Task 1: Create the block diagram shown in Fig. 1.2 in Simulink by identifying the appro- priate blocks from the Simulink Library, and enter the required parameters. Step 80 5s+1 Transfer Fon Scope Figure 1.2: Block diagram, exercise 1.

Task 1: Create the block diagram shown in Fig. 1.2 in Simulink by identifying the appro- priate blocks from the Simulink Library, and enter the required parameters. Step 80 5s+1 Transfer Fon Scope Figure 1.2: Block diagram, exercise 1.

Database System Concepts

7th Edition

ISBN:9780078022159

Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Chapter1: Introduction

Section: Chapter Questions

Problem 1PE

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CSE Simplify the following Boolean functions, using three-variable K-maps: F(x, y, z) =E (0, 1, 5, 7)
Let f : B 3 → B where f(x, y, z) = (x + z)y.(a) Provide a truth table for the function.(b) Derive the canonical DNF for the function using the truth table.(c) Derive the canonical CNF for the function using the truth table.
2. Consider the Karnaugh map of a Boolean function k(w, x, y, z) shown at right. I (a) Use the Karnaugh map to find the DNF for k(w, x, y, z). (b) Use the Karnaugh map algorithm to find the minimal expression for k(w, x, y, z). x y z h(x, y, z) 0 0 1111OOOO: 0 0 0 0 нноонно 10 1 1 LOLOLOL 3. Use a don't care Karnaugh map to find a minimal representation for a Boolean expression h(x,y,z) agreeing with the incomplete I/O table below: 1 0 0 0 1 OLO 0 0 NE IN xy yz 1 IN WX yz 1 ÿz 1 wx wx wox xy xy fy 1 1 1 1
Simplify the following Boolean functions, using four-variable Kmaps: F (w, x, y, z)=Σ(1, 4, 5, 6, 12, 14, 15)
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Simplify the following Boolean functions, using K-maps: F (A, B, C, D)=Σ(3, 7, 11, 13, 14, 15)
1.Use Karnaugh map to find minimum sum of products expressions for each function: g(d,e,f) = Σm(1,4,6) + Σd(0,2,7) Y(A, B, C, D) = m(0,2,5,6,7,8,10,13,15) 2. Realize Z = A'D + A'C + AB'C'D' using four NAND gates.
Simplify the Boolean function F (w, x, y, z)=Σ(0, 1, 3, 8, 9, 10, 11, 12, 13, 14, 15).
2 Simplify the following Boolean function, using four variables K-map. F(A, B, C, D) = E(2, 3, 6, 7, 12, 13, 14)
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