3. Determine expressions for q(m-1,n)→(m,n), q(m+1,n)→(m,n), q(m,n+1)→(m,n) and q(m,n-1)-(m,n), forconduction associated with a control volume that spans two different materials. There is no contactresistance at the interface between the materials. The control volumes are L units long into thepage. Write the finite difference equation under steady-state conditions for node (m, n).Answer: N/AT→TAyMaterial AKA(m, n + 1) i(m1, n) (m, n)(m + 1, n)Material B(m, n1) |KB

Answered: 3. Determine expressions for…

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

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1) Obtain a state space model of the system. 2) Given m =1 kg, k = 1 N/m and b = 1 N.s/m is the system Controllable? 3) For what values of k,m,b the system is stable? Explain your answer?
An open system is often referred to as control volume, which is a properly selected region in space in which mass and energy can flow across the boundaries as figure 1.2. The boundary of a open thermodynamic system is called the control surface Across the Boundaries E = Yes F 0 = Yes w =Yes Control surface ass YES W CONTROL VOLUME energy YES Figure 1.2. A cooling/heating radiator is an example of such a system – give two more examples of such a system.
Geochemical Box Models - please use same terminology found in question Consider an element X exchanging between two geochemical reservoirs A and B. Let MA and MB be the masses of X in reservoirs A and B, respectively; let tA and tB be the residence times of X in reservoirs A and B, respectively. Further let M = MA + MB be the total mass of X in the two reservoirs combined. Consider a situation where additional mass M' is injected into reservoir A at time t=0 increasing the total amount of element X in the system from M0 to M1, with no further injection at later times; further assume that tA >> tB, that the total mass in the altered system is M1 = M0 + M', and that M0 << M'. Give an expression for MB(t) as a function of M1, tA, tB, and t. What is the characteristic time for MB to approach steady state? What is the characteristic time for MA to approach steady state?
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…
how many degrees of freedom in this system and how do they arise?
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Can I please get assistance with the transition from equation (3.72) through equation (3.73)? Step by Step. ***This is an example from my text book and not a homework problem.
Consider a physical system whose three-dimensional state space is spanned by the orthonormal basis formed by the three kets {Je1>, Je2>, Je3>}. In the basis of these three vectors, taken in this order, the Hamiltonian H and the two operators B^ and D^ are defined by: 3 i 0 7 i 1- i 2a H= hwo -i 3 0 B= bo -i 7 1 + 2a 0. 0 2 1+i 1-i 6. 2a -3a where wo and bo are constants. Also using this ordered basis, the initial state of the system is given by: (ei|#(0) (e2l 4(0) e3| v(0)) |v(0)) = 3 Suppose that the initial state |U(0)> was left to evolve until t + 0. Q: After measuring operator D , the operator B was measured. What are the possible values of AB?
6. Rayleigh's method is based ONLY on potential energy of a number degree of freedom discrete system * Choose True False
#5
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