4. Prove that N1+ N2,+N3-1 for the Constant Strain Triangle Element (15%) 4. Prove that N1+...
one-way ANOVA model with r = 4 levels, n1 = 3, n2 = n3 = n4 = 2. What is the design matrix X for the factor-effects formulation of the model?
Problem 4 (20pts). A transformer with N1, N3 turns at the input and N2, N4 turns at the output is wrapped as drawn. The magnetic flux in the core is given as Q = -20sin(wt) (Wb), and Ry = 1k1. Find: a) V2, V3 and 12, 13. b) Direction of I2, I3. c) What is Rin? N2=600 N2=300 Nz=100 N4=300 1 12 Iz Rin RL WW V V2 V3 Ri=100012
Part A: Suppose n1=19, n2=21 and n3=23. For a one-factor ANOVA, the dferror would be __________. Part B: Suppose n1=19, n2=21 and n3=23. For a one-factor ANOVA, the dftreatwould be ______.
Create a 4-bit prime number detector. The circuit has four inputs---N3, N2, N1, and N0--- that corresponds to a 4-bit number (N3 is the most significant bit) and one output P that is 1 when the input is a prime number and that is 0 otherwise. Apply Sequential Circuit Counter using a JK Flip flop in the application and construct its circuit.
Problem 4 (20pts). A transformer with N1, N3 turns at the input and N2, N4 turns at the output is wrapped as drawn. The magnetic flux in the core is given as Q = -20sin(wt) (Wb), and R, = 1k.. Find: a) V2 V3 and 12, 13. b) Direction of 12, 13. c) What is Rin? N=600 N2=300 Nz=100 N=300 12 13 Rin RL V V2 V3 R -100082
n1 n2 6. Light rays cross interfaces from medium 1 into medium 2 and then into medium 3. Which of the following is true? n3 A) n1 > n2 and n2 > n3 B) n3 > n2 and n2 > n1 C) n2 > n1 and n2 > n3 D) None of the above
1) True or false? a. n2 = O(n3) b. 2n2 + 1 = O(n2) c. n1/2 = O(log n) d. log n = O(n1/2 ) e. log n + n1/2 = O(n2) f. log n = O( n-1/2) g. log n = O( 1/n ) h. log (n + 3) = q(n1/2) i. n + n1/2= W( n2 - n )
Suppose n1 = 1.36, n2 = 1.26 and n3 = 1.08. What minimum angle of incidence, in degrees, is required in order for the second boundary to cause total internal reflection?
Problem 2. Consider a finite element with shape functions N1 (ξ) and N2Ģ) used to interpolate the displacement field within the element shown below. Derive an expression for the strain-displacement matrix B where strain E-Bq, in terms of N1 and N2. (Do not assume any specific form for N and N2.) (Note: q[1 21.) 72--
Solve the following: There are 7 nodes, N1 to N7. N1 and N3 are Byzantine faulty nodes. Use OM(2) to solve this problem. N1 is the initial commander. Assume it sends a 0 to N2, N3, and N4 and it sends a 1 to N5,N6, and N7. You can choose any values for N3 to send to its receivers. Show the message sending tree and compute the output of the non faulty nodes