I need the answer as soon as possible For the given system, assume the input to be 0.1 t. We need to keep ess <0.05. Find therange of k for the error to be within the specified limits.Ex. 5.6.7:R(s)s (s+2)C(s)Fig. P. 5.6.7

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Answered: For the given system, assume the input…

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

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The motion of a damped spring-mass system is described by the following ordinary differential equation m * d2x/dt2 + c * dx/dt + k*x = 0 where x = displacement from equilibrium position (in meters), t = time (seconds), m = 20-kg mass, and c = the damping coefficient (N . s/m). Take the damping coefficient c = 5 and the spring constant k = 20 N/m. The initial velocity (dx/dt) is zero, and the initial (t=0) displacement is x = 1 m. Solve analytically.
Multiple DOF SystemsA 2-D spring-mass, frictionless system has the following parameters:m1 = 72m2 = 27k1 = 381k2 = 183x1,0 = 0 mx2,0 = 1 mv1,0 = -1 m/sv2,0 = 0 m/s In MATLAB, solve numerically for x1(t) and x2(t).
Knowing that u c(t) it is the unit step function, the inverse Laplace Transform of the function F(s)= e-s(s-2)/s2 - 4s +3 is: a) f(t) = u1(t) e2(t-1) cosh(t - 1) b) f(t) = u1(t) e2(t-1) cosh(t) c) None of the answers d) f(t) = u2(t) e2(t-1) cosh(t - 1) e) f(t) = u2(t) e2(t-1) cosh(t - 2)
Suppose a spring with spring constant 7 N/m is horizontal and has one end attached to a wall and the other end attached to a 2 kg mass. Suppose that the friction of the mass with the floor (i.e., the damping constant) is 1 N⋅s/m a) Set up a differential equation that describes this system. Let x to denote the displacement, in meters, of the mass from its equilibrium position, and give your answer in terms of x,x′,x′′. Assume that positive displacement means the mass is farther from the wall than when the system is at equilibrium. b) Find the general solution to your differential equation from the previous part. Use c1 and c2 to denote arbitrary constants. Use t for independent variable to represent the time elapsed in seconds. Your answer should be an equation of the form x=… c) Enter a value for the damping constant that would make the system critically damped. ?Ns/m
To be able to solve rectilinear problems with variable functions. Let A=1/V feet per second per second; V0= 5fps. Find A, V and t when s = 25 ft.
ᴀ ꜱᴛᴇᴇʟ ʙᴇ ʀᴏᴅ ᴏɴ ʙʀɪᴅɢᴇ ᴍᴜꜱᴛ ʙᴇ ᴍᴀᴅᴇ ᴛᴏ ᴡɪᴛʜꜱᴛᴀɴᴅ ᴀ ᴘᴜʟʟ ᴏꜰ 600 ʟʙꜱ, ꜰɪɴᴅ ᴛʜᴇ ᴅɪᴀᴍᴇᴛᴇʀ ᴏꜰ ᴛʜᴇ ʀᴏᴅ ᴀꜱꜱᴜᴍɪɴɢ ᴀ ꜰᴀᴄᴛᴏʀ ᴏꜰ ꜱᴀꜰᴇᴛʏ ᴏꜰ 5 ᴀɴᴅ ᴜʟᴛɪᴍᴀᴛᴇ ꜱᴛʀᴇꜱꜱ ᴏꜰ 64,000 ᴘꜱɪ. (Show solution) ᴀ.) 0.705 ʙ.) 0.981 ᴄ.) 0.809 ᴅ.) 0.773
laplace transform
A velocity of a vehicle is required to be controlled and maintained constant even if there are disturbances because of wind, or road surface variations. The forces that are applied on the vehicle are the engine force (u), damping/resistive force (b*v) that opposing the motion, and inertial force (m*a). A simplified model is shown in the free body diagram below. From the free body diagram, the ordinary differential equation of the vehicle is: m * dv(t)/ dt + bv(t) = u (t) Where: v (m/s) is the velocity of the vehicle, b [Ns/m] is the damping coefficient, m [kg] is the vehicle mass, u [N] is the engine force. Question: Assume that the vehicle initially starts from zero velocity and zero acceleration. Then, (Note that the velocity (v) is the output and the force (w) is the input to the system): 1. What is the order of this system?
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For the calibration data of given below, (a) determine the static sensitivity of the system, (b) find the maximum nonlinearity, (c) find the value of the threshold. X (cm) 0.5 1.0 (cm) 0.4 1.0 5.0 10 15 20 25 30 35 40 45 50 6.9 15.8 24.7 36.4 49.9 60.3 75.1 87.0 98.9 110.1
Suppose a spring with spring constant k=1 supports a mass of 1kg and is subject to a driving force f(t)=sin2t. The mass is initially at rest at its equilibrium point. At time t=2, the mass is hit with a sharp upward blow, so that the force of the blow is δ(t−2). Set up and solve (using Laplace transforms) an initial-value problem modelling this situation.

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For the given system, assume the input to be 0.1 t. We need to keep egs < 0.05. Find th range of k for the error to be within the specified limits. Ex. 5.6.7: k R(s) s (s+2) C(s) Fig. P. 5.6.7