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Problem 2 (20 pts): Find the normalized eigenvector that would describe the equilibrium structure...
1 point) Consider the initial value problem 0 -2 a. Find the eigenvalue λ, an eigenvector...
1 point) Consider the initial value problem 0 -2 a. Find the eigenvalue λ, an eigenvector UI, and a generalized eigenvector v2 for the coefficient matrix of this linear system. v2 = b. Find the most general real-valued solution to the linear system of differential equations. Use t as the independent variable in your answers. c. Solve the original initial value problem. n(t)- 2(t)
2: Consider the block diagram shown. A: (20) Find the transfer function A(s)/R(s). B: (20) What is the sensitivity of CR to G? Gg(s) Go(s) R(s) + G1(s) Cs) G7(s) G4(s) Step response 1.8 1.6 1.4 으1.2...
2: Consider the block diagram shown. A: (20) Find the transfer function A(s)/R(s). B: (20) What is the sensitivity of CR to G? Gg(s) Go(s) R(s) + G1(s) Cs) G7(s) G4(s) Step response 1.8 1.6 1.4 으1.2 1.0 Z 0.8 0.6 0.4 0.2 0.1 T2 ζ=0.3 ζ 0.5 =0.7 T4
2: Consider the block diagram shown. A: (20) Find the transfer function A(s)/R(s). B: (20) What is the sensitivity of CR to G? Gg(s) Go(s) R(s) + G1(s) Cs) G7(s)...
Problem 2 (20 pts): Consider the following structure consisting of a set of bars. Assume the...
Problem 2 (20 pts): Consider the following structure consisting of a set of bars. Assume the Young's modulus and cross- sectional area of each bar are E = 200 kN/mm², A = 100 mm2. (a) Find the (complete) stiffness matrix of the structure (10 pts) (b) find the displacements of all the three nodes (5 pts) (c) find the reaction force at node B (5 pts) ܠܓܓܓܓܓܓܓ 2000 mm 45°A 10 kN + 20 kn
(1 point) Consider the initial value problem -51เซี. -4 มี(0) 0 -5 a Find the eigenvalue λ, an eigenvector ul and a gen...
(1 point) Consider the initial value problem -51เซี. -4 มี(0) 0 -5 a Find the eigenvalue λ, an eigenvector ul and a generalized eigenvector u2 for the coefficient matrix of this linear system -5 u2 = b. Find the most general real-valued solution to the linear system of differential equations. Use t as the independent variable in your answers c2 c. Solve the original initial value problem m(t) = 2(t)-
(1 point) Consider the initial value problem -51เซี. -4 มี(0)...
PROBLEM 4 (20 pts) Water at 25 °C is used to cool oil from 120 °C...
PROBLEM 4 (20 pts) Water at 25 °C is used to cool oil from 120 °C to 80 °C. Oil flows at a rate of 1 kg/s in a tube of inside diameter 1.6 cm and outside diameter 1.9 cm. The tube makes 18 passes in a shell. Water flows through the shell at a rate of 1.5 kg/s. The water side heat transfer coefficient is 12,000 W/m2°C. Oil properties at 100 °C are: Cp = 2219J/(kg.), k = 0.137...
Problem 2 (20 pts): a) (10 pts) The wavefunction given below corresponds to a confined particle....
Problem 2 (20 pts): a) (10 pts) The wavefunction given below corresponds to a confined particle. Describe the properties of the confined particle based on this wavefunction. V sine sin (knx) where hin = n/L b) (10 pts) Verify that the following wavefunction is normalized. U1(0) sin ((1/a)x]
Here is the matrix mentioned in the problem: 7) Change (23 pts) Diagonalization of a matrix....
Here is the matrix mentioned in the problem:
7) Change (23 pts) Diagonalization of a matrix. For the matrix from the last problem. a) (6 pts) Find the eigenvalues of A b) (6 pts) Find the eigenvectors of A, Choose x1=1 for the first element of both eigenvectors. c) (4 pts) Is this system stable? What type of damping does it have? d) (2 pts) Find the diagonal matrix D corresponding to A. e) (1 pts) Find D3, use actual...
Problem 2 (20 pts). Given a 5-element array with equal spacing, uniform amplitude and phase with d Write the normalized array factor for both the endfire and broadside radiation patterns. Pr...
Problem 2 (20 pts). Given a 5-element array with equal spacing, uniform amplitude and phase with d Write the normalized array factor for both the endfire and broadside radiation patterns.
Problem 2 (20 pts). Given a 5-element array with equal spacing, uniform amplitude and phase with d Write the normalized array factor for both the endfire and broadside radiation patterns.
0 Problem 2 (20 pts). Given a S-element array with equal spacing, uniform amplitude and phase with dWrite the normalized array factor for both the endfie and broadside radiation patterns 0 P...
0 Problem 2 (20 pts). Given a S-element array with equal spacing, uniform amplitude and phase with dWrite the normalized array factor for both the endfie and broadside radiation patterns
0 Problem 2 (20 pts). Given a S-element array with equal spacing, uniform amplitude and phase with dWrite the normalized array factor for both the endfie and broadside radiation patterns
2) Assume the small end of the part shown below has a basic bore diameter of 0.25 Inches. We want...
2) Assume the small end of the part shown below has a basic bore diameter of 0.25 Inches. We want to assemble the part with a pin with a basic shaft diameter of 0.25 inches, ensuring that the fit between the two parts is a running fit. If we determine that the optimal clearance between the two parts is 0.0009", but no larger than 0.0017", what Class fit would you specify on the drawing? Also calculate the minimum and maximum...
1 point) Consider the initial value problem 0 -2 a. Find the eigenvalue λ, an eigenvector UI, and a generalized eigenvector v2 for the coefficient matrix of this linear system. v2 = b. Find the most general real-valued solution to the linear system of differential equations. Use t as the independent variable in your answers. c. Solve the original initial value problem. n(t)- 2(t)
2: Consider the block diagram shown. A: (20) Find the transfer function A(s)/R(s). B: (20) What is the sensitivity of CR to G? Gg(s) Go(s) R(s) + G1(s) Cs) G7(s) G4(s) Step response 1.8 1.6 1.4 으1.2 1.0 Z 0.8 0.6 0.4 0.2 0.1 T2 ζ=0.3 ζ 0.5 =0.7 T4
2: Consider the block diagram shown. A: (20) Find the transfer function A(s)/R(s). B: (20) What is the sensitivity of CR to G? Gg(s) Go(s) R(s) + G1(s) Cs) G7(s)...
Problem 2 (20 pts): Consider the following structure consisting of a set of bars. Assume the Young's modulus and cross- sectional area of each bar are E = 200 kN/mm², A = 100 mm2. (a) Find the (complete) stiffness matrix of the structure (10 pts) (b) find the displacements of all the three nodes (5 pts) (c) find the reaction force at node B (5 pts) ܠܓܓܓܓܓܓܓ 2000 mm 45°A 10 kN + 20 kn
(1 point) Consider the initial value problem -51เซี. -4 มี(0) 0 -5 a Find the eigenvalue λ, an eigenvector ul and a generalized eigenvector u2 for the coefficient matrix of this linear system -5 u2 = b. Find the most general real-valued solution to the linear system of differential equations. Use t as the independent variable in your answers c2 c. Solve the original initial value problem m(t) = 2(t)-
(1 point) Consider the initial value problem -51เซี. -4 มี(0)...
PROBLEM 4 (20 pts) Water at 25 °C is used to cool oil from 120 °C to 80 °C. Oil flows at a rate of 1 kg/s in a tube of inside diameter 1.6 cm and outside diameter 1.9 cm. The tube makes 18 passes in a shell. Water flows through the shell at a rate of 1.5 kg/s. The water side heat transfer coefficient is 12,000 W/m2°C. Oil properties at 100 °C are: Cp = 2219J/(kg.), k = 0.137...
Problem 2 (20 pts): a) (10 pts) The wavefunction given below corresponds to a confined particle. Describe the properties of the confined particle based on this wavefunction. V sine sin (knx) where hin = n/L b) (10 pts) Verify that the following wavefunction is normalized. U1(0) sin ((1/a)x]
Here is the matrix mentioned in the problem:
7) Change (23 pts) Diagonalization of a matrix. For the matrix from the last problem. a) (6 pts) Find the eigenvalues of A b) (6 pts) Find the eigenvectors of A, Choose x1=1 for the first element of both eigenvectors. c) (4 pts) Is this system stable? What type of damping does it have? d) (2 pts) Find the diagonal matrix D corresponding to A. e) (1 pts) Find D3, use actual...
Problem 2 (20 pts). Given a 5-element array with equal spacing, uniform amplitude and phase with d Write the normalized array factor for both the endfire and broadside radiation patterns.
Problem 2 (20 pts). Given a 5-element array with equal spacing, uniform amplitude and phase with d Write the normalized array factor for both the endfire and broadside radiation patterns.
0 Problem 2 (20 pts). Given a S-element array with equal spacing, uniform amplitude and phase with dWrite the normalized array factor for both the endfie and broadside radiation patterns
0 Problem 2 (20 pts). Given a S-element array with equal spacing, uniform amplitude and phase with dWrite the normalized array factor for both the endfie and broadside radiation patterns
2) Assume the small end of the part shown below has a basic bore diameter of 0.25 Inches. We want to assemble the part with a pin with a basic shaft diameter of 0.25 inches, ensuring that the fit between the two parts is a running fit. If we determine that the optimal clearance between the two parts is 0.0009", but no larger than 0.0017", what Class fit would you specify on the drawing? Also calculate the minimum and maximum...
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