Consider a 2nd order system with m=30kg, k = 5000N/m, c = 387N-s/m. Generate the BODE...

Consider a 2nd order system with m=30kg, k = 5000N/m, c = 387N-s/m. Generate the BODE plot using MATLAB or Excel to find the maxima. If you do not have Excel, you can use google sheets. For MATLAB users these functions may be useful: (logspace, loglog)

Expert Solution

samet mamat answered 1 year ago

Consider an irreversible 2nd-order reaction (A + B → C) in a batch reactor with the...

Consider an irreversible 2nd-order reaction (A + B → C) in a batch reactor with the initial molar ratio of ΘB=CB0/CA0. Find the relation between time (t) and conversion (XA). (Hint: You need to consider cases of both CA=CB and CA≠CB.)

Given a second order ode m y’’ + c y’ + k y = 0 with m, c...

Given a second order ode m y’’ + c y’ + k y = 0 with m, c and k all positive. (like a mass‐spring system with damping) Argue that the solution will always be damped; the exponential portion can never be positive regardless of the particular m, c and k.

For a first order process G(s)= 4/(s+0.5): (a) Qualitatively sketch the pattern of the Bode diagram...

For a first order process G(s)= 4/(s+0.5): (a) Qualitatively sketch the pattern of the Bode diagram for this process, and indicate the limiting behaviors( i.e., the slopes and values as s --> 0 and s --> infinity) of ARn( the normalized amplitude ratio) and Phi ( the phase shift) in the plots. (b) Will a P-only control possibly make the process unstable? Show your reasoning based on the Bode stability criterion. (c) What if a delay term e^-5s is included,...

Let M be defined as follows M = (K, Σ, s, ∆, F ) for K...

Let M be defined as follows M = (K, Σ, s, ∆, F ) for K = {q0, q1, q2, q3, }, s = q0, Σ = {a, b, c}, F = {q0, q2, q3} and ∆ = {(q0, abc, q0), (q0, a, q1), (q0, e, q3), (q1, bc, q1), (q1, b, q2), (q2, a, q2), (q2, b, q3), (q3, a, q3)}. 1. (1pts) Draw the diagram of M 2. (6pts ) DRAW a diagram of an automata M0 such...

A second-order reaction has a rate constant of 0.009500/(M · s) at 30°C. At 40°C, the...

A second-order reaction has a rate constant of 0.009500/(M · s) at 30°C. At 40°C, the rate constant is 0.02300/(M · s). (A) What is the activation energy for this reaction? ______kJ/mol (B) What is the frequency factor, A? _______ /(M*s) (C) Predict the value of the rate constant at 50°C. ________ /(M*s)

Consider a damped forced mass-spring system with m = 1, γ = 2, and k =...

Consider a damped forced mass-spring system with m = 1, γ = 2, and k = 26, under the influence of an external force F(t) = 82 cos(4t). a) (8 points) Find the position u(t) of the mass at any time t, if u(0) = 6 and u 0 (0) = 0 . b) (4 points) Find the transient solution uc(t) and the steady state solution U(t). How would you characterize these two solutions in terms of their behavior in...

A system has the transfer function H(s)=3(s2+7 s)/(s2+8s+4). Draw a Bode plot of the transfer function...

A system has the transfer function H(s)=3(s2+7 s)/(s2+8s+4). Draw a Bode plot of the transfer function and classify it as lowpass, highpass, bandpass, or bandstop. Draw the Direct Form II for this system.

Given a non-deterministic automaton M = (K, Σ, s, ∆, F ) for K = {q0,...

Given a non-deterministic automaton M = (K, Σ, s, ∆, F ) for K = {q0, q1, q2, q3}, s = q0, Σ = {a, b}, F = {q1, q2, q3}, and ∆ = {(q0, a, q1), (q0, b, q3), (q1, a, q2), (q1, b, q1), (q3, a, q3), (q3, b, q2)} 1. (1pts) Draw the diagram of M 2. (2pts) Explain why M is not deterministic 3 (5pts) DRAW a diagram of a deterministic M0 such that M ≈...

Treatment of a polypeptide with Tris-(2-carboxyethyl)-phosphine hydrochloride (TCEP) yields two peptides: 1. I-Q-K-H-C-R-C-A-K-M-V-S 2. F-C-R-L-K-D-C-K-N-D Treatment...

Treatment of a polypeptide with Tris-(2-carboxyethyl)-phosphine hydrochloride (TCEP) yields two peptides: 1. I-Q-K-H-C-R-C-A-K-M-V-S 2. F-C-R-L-K-D-C-K-N-D Treatment of the intact polypeptide with Trypsin yields fragments with the following amino acid composition: (Ser, Met, Val) (Lys, Gln, Ile) (Phe, Ala, Cys2, Arg, Lys) (Asp, Asn) (Leu, Lys) (Lys, His, Asp, Cys2, Arg) a) The intact (untouched) polypeptide is labeled with 1-Fluoro-2,4-dinitrobenzene (FDNB) labeling, followed by acid hydrolysis. What will be observed? b) Name and briefly describe a method which may determine if...

Q5. A monopolist has the cost function C(Q) = mQ +kQ2 where m and k are...

Q5. A monopolist has the cost function C(Q) = m*Q +k*Q2 where m and k are parameters. It faces two types of consumers, A and B, with the following demand curves for its product: PA =60–3*QA PB =80–2*QB For (a)—(c) below, assume Assume m=30 and k=0. (a) [4] What price will the monopolist charge under uniform pricing? (b) [4] What prices will the monopolist charge if it can price discriminate? (c) [4] How much higher is the monopolist’s profit in...

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