could you please solve question 3?
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could you please solve question 3?
2. Assume that the motion of Pi and P2 is...
PLEASE SOLVE QUESTION NUMBER 2 ONLY, MAKE SURE ALL PARTS IN QUESTION 2 ARE SOLVED. THANK...
PLEASE SOLVE QUESTION NUMBER 2 ONLY, MAKE SURE ALL PARTS IN
QUESTION 2 ARE SOLVED. THANK YOU
poirmts) l'igure output y ws an RG circuit with inpu Function Generator Model Capacitor Model i,(t) Figure 2: RC cireuit (a) (1 point) Sketch the circuit in the phasor domain by replacing the capacitor with its impedance represen- tation (b) (3 points) Using circuit analysis techniques, show that the frequency response function is F(u) UT 1 Specify the DC gain, K, and time...
Please show all work, really need to double check this one. 3. Consider a system with...
Please show all work, really
need to double check this one.
3. Consider a system with a following transfer function: G(s) %3D s2 + 2s + 1 a. What are the state equations of the system in control canonical form? Assume the y(t) b. Assume you are using feedback of the form u(t) = -Kx(t) where K = [k, k2]. Calculate values of K so that the response of the system is critically damped. = x, (t).
could you please answer this question QUESTION 2 Consider a system with an open-loop trans fer function given by Y(s) s+7 U(s) s2 +3s-8 (a) (8 marks) Derive a state-space model for the system in...
could you please answer this question
QUESTION 2 Consider a system with an open-loop trans fer function given by Y(s) s+7 U(s) s2 +3s-8 (a) (8 marks) Derive a state-space model for the system in canonical form. (b) (4 marks) Check the observability of the system. (c) 8 marks) Design a suitable full-order state observer for the system. Explain your choice of the observer's poles. d) (10 marks) Design a PI controller for the system so the output of the...
As described in class, the Poisson Bracket [F, G] between two functions Fand G of the generalized positions q, and momenta pi is defined as: Consider a system with Hamiltonian H-P2/2m-Vr = (P, 2+py 2...
As described in class, the Poisson Bracket [F, G] between two functions Fand G of the generalized positions q, and momenta pi is defined as: Consider a system with Hamiltonian H-P2/2m-Vr = (P, 2+py 2+pz2y2m)-y(x"2 + y"2 + z ^2)-U2 where yis a constant. a) Evaluate [Lz, H] and interpret the result in two ways i.e. what it says about L, and what it says about H b) Using the Poisson Bracket and the given Hamiltonian, find the value of...
please help me with questions 1，2，3 1. Let V be a 2-dimensional vector space with basis...
please help me with questions 1，2，3
1. Let V be a 2-dimensional vector space with basis X = {v1, v2}, write down the matrices [0]xx and [id]xx. 2. Let U, V, W be vector spaces and S:U +V, T:V + W be linear transforma- tions. Define the composition TOS:U + W by To S(u) = T(S(u)) for all u in U. a. Show that ToS is a linear transformation. b. Now suppose U is 1-dimensional with basis X {41}, V...
2. (3+4+4+4 pts) In this problem, we discuss a method of solving SOL equations known as...
2. (3+4+4+4 pts) In this problem, we discuss a method of solving SOL equations known as Reduction of Order. Given an equation y" +p(a)y' +9(2)y = 0, and assuming yi is a solution, Reduction of Order asks: does there exist a second, linearly-independent solution y2 of the form y2 = u(x)41 for some function u(x)? See Section 3.2, Exercise 36 for reference). We'll now use this to solve the following problem. (a) Consider the SOL differential equation sin(x)y" — 2...
I need help with calc 2 (center of mass/ centroid problems) Please show some work and...
I need help with calc 2 (center of mass/ centroid problems)
Please show some work and correct answer clear circled thank u
so much
The masses mi are located at the points Pi Find the center of mass of the system = 4, m2 P (1, 3), P2 ( - 6,1), P3 = (-9, - 1) 8, m3 9. mi Preview Preview Enter a mathematical expression [more..] Get help: Video T 3 sin(r), and touching the origin 2 Find the...
I need help with problem #3, please and thank you! Problem #2 (25 points) - The...
I need help with problem #3, please and thank you!
Problem #2 (25 points) - The True Hanging String Shape After solving for ye(2) for the scenario in Problem #1, show that the mag- nitude of the tension in the string is given by the expression T(X) = To cosh (Como) where To = Tmin is the minimum tension magnitude in the string which occurs at the bottom point of the string, and then show that the maximum tension magnitude...
3. The Hamiltonian of a particle of mass m and charge q in a static magnetic field may be written 2 where πί Pi-qAi(x). We shall assume that the magnetic field B is uniform, so that AiEijkBjxk is a s...
3. The Hamiltonian of a particle of mass m and charge q in a static magnetic field may be written 2 where πί Pi-qAi(x). We shall assume that the magnetic field B is uniform, so that AiEijkBjxk is a suitable choice. (a) Find Hamilton's equation of motion for the particle. (Hint: To simplify the algebra, use the chain rule to write9and similarly for p) 8H UT, 0z,, and similarly for Sp use the chain rule to write oz (b) Show...
could you provide a detailed solution for this question. Like and comment are rewarded, thanks 2....
could you provide a detailed
solution for this question. Like and comment are rewarded,
thanks
2. Consider the system shown in the figure below. y m1 k,1 Mass mi moves horizontally along the x axis and its position is given by coordinate x1. It is attached to mass m2 by a light spring of spring constant k and natural length 1. The spring is constrained to oscillate in the r-y plane. Let the angle between the spring and the negative...
PLEASE SOLVE QUESTION NUMBER 2 ONLY, MAKE SURE ALL PARTS IN
QUESTION 2 ARE SOLVED. THANK YOU
poirmts) l'igure output y ws an RG circuit with inpu Function Generator Model Capacitor Model i,(t) Figure 2: RC cireuit (a) (1 point) Sketch the circuit in the phasor domain by replacing the capacitor with its impedance represen- tation (b) (3 points) Using circuit analysis techniques, show that the frequency response function is F(u) UT 1 Specify the DC gain, K, and time...
Please show all work, really
need to double check this one.
3. Consider a system with a following transfer function: G(s) %3D s2 + 2s + 1 a. What are the state equations of the system in control canonical form? Assume the y(t) b. Assume you are using feedback of the form u(t) = -Kx(t) where K = [k, k2]. Calculate values of K so that the response of the system is critically damped. = x, (t).
could you please answer this question
QUESTION 2 Consider a system with an open-loop trans fer function given by Y(s) s+7 U(s) s2 +3s-8 (a) (8 marks) Derive a state-space model for the system in canonical form. (b) (4 marks) Check the observability of the system. (c) 8 marks) Design a suitable full-order state observer for the system. Explain your choice of the observer's poles. d) (10 marks) Design a PI controller for the system so the output of the...
As described in class, the Poisson Bracket [F, G] between two functions Fand G of the generalized positions q, and momenta pi is defined as: Consider a system with Hamiltonian H-P2/2m-Vr = (P, 2+py 2+pz2y2m)-y(x"2 + y"2 + z ^2)-U2 where yis a constant. a) Evaluate [Lz, H] and interpret the result in two ways i.e. what it says about L, and what it says about H b) Using the Poisson Bracket and the given Hamiltonian, find the value of...
please help me with questions 1，2，3
1. Let V be a 2-dimensional vector space with basis X = {v1, v2}, write down the matrices [0]xx and [id]xx. 2. Let U, V, W be vector spaces and S:U +V, T:V + W be linear transforma- tions. Define the composition TOS:U + W by To S(u) = T(S(u)) for all u in U. a. Show that ToS is a linear transformation. b. Now suppose U is 1-dimensional with basis X {41}, V...
2. (3+4+4+4 pts) In this problem, we discuss a method of solving SOL equations known as Reduction of Order. Given an equation y" +p(a)y' +9(2)y = 0, and assuming yi is a solution, Reduction of Order asks: does there exist a second, linearly-independent solution y2 of the form y2 = u(x)41 for some function u(x)? See Section 3.2, Exercise 36 for reference). We'll now use this to solve the following problem. (a) Consider the SOL differential equation sin(x)y" — 2...
I need help with calc 2 (center of mass/ centroid problems)
Please show some work and correct answer clear circled thank u
so much
The masses mi are located at the points Pi Find the center of mass of the system = 4, m2 P (1, 3), P2 ( - 6,1), P3 = (-9, - 1) 8, m3 9. mi Preview Preview Enter a mathematical expression [more..] Get help: Video T 3 sin(r), and touching the origin 2 Find the...
I need help with problem #3, please and thank you!
Problem #2 (25 points) - The True Hanging String Shape After solving for ye(2) for the scenario in Problem #1, show that the mag- nitude of the tension in the string is given by the expression T(X) = To cosh (Como) where To = Tmin is the minimum tension magnitude in the string which occurs at the bottom point of the string, and then show that the maximum tension magnitude...
3. The Hamiltonian of a particle of mass m and charge q in a static magnetic field may be written 2 where πί Pi-qAi(x). We shall assume that the magnetic field B is uniform, so that AiEijkBjxk is a suitable choice. (a) Find Hamilton's equation of motion for the particle. (Hint: To simplify the algebra, use the chain rule to write9and similarly for p) 8H UT, 0z,, and similarly for Sp use the chain rule to write oz (b) Show...
could you provide a detailed
solution for this question. Like and comment are rewarded,
thanks
2. Consider the system shown in the figure below. y m1 k,1 Mass mi moves horizontally along the x axis and its position is given by coordinate x1. It is attached to mass m2 by a light spring of spring constant k and natural length 1. The spring is constrained to oscillate in the r-y plane. Let the angle between the spring and the negative...
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