150 N Problem 4 (8 Marks) [ILO's: K1, 12, P.]] 100 N --- 2m 1.5 m 50 N .... For the shown frame, determine the horizontal | and vertical components of the reactions at external Hinges (A & C) and Internal Pin (B). 2 m
6 m 6 m 3m In 5 kN 6 m 3 m Figure 3 25 MARKS Question 4 For the same structure in Figure 3, determine the support reactions using the moment distribution method. 6 m 6 m 3m In 5 kN 6 m 3 m Figure 3 25 MARKS Question 4 For the same structure in Figure 3, determine the support reactions using the moment distribution method.
Q2. Consider the equation (a) [2 marks] Find the characteristics of the equation. (b) [4 Marks] Sketch the characteristics in the (x,y) plane (c) [2 Marks] determine the characteristic coordinates (d) [6 marks] Reduce the equation to standard form and find its general solution (e) Use the general solution to find u(x, y), if it exists, for the following Cauchy data () [2 Marks] u(x,y)-2 on the curve y=x2 [2 Marks] u(x,y)-l on the curve y- (c) [2 Marks) u(x,y)-1...
3. Let the following periodic signal : x(t) = m+0 8(t -- 3m) + 8(t-1-3m) + 8(t – 2 – 3m) be the input to a LTI system with a system function: H(s) = es/4 – e-s/4, Let by represent the Fourier series coefficients of the resulting output signal y(t). Determine bk. (5 points)
Example 3.7 We have A (3m|1 m < 12},B = {2n|1 <n< 8},C = {m e Z* gcd(m, 36) = {4k|3 < k 9 1} Please give following sets: а) (А — В)UC b) c) Example 3.7 We have A (3m|1 m
Example 3.7 We have A (3m|1 m < 12},B = {2n|1 <n< 8},C = {m e Z* gcd(m, 36) = {4k|3 < k 9 1} Please give following sets: а) (А — В)UC b) c) Example 3.7 We have A (3m|1 m
[8 marks] Consider a discrete time stochastic process {Xn,n 2 0j defined by the equation with Xo1 and Rn,n21 are random variables taking their values in (-1,00). Denote Sn-Li-1 Rk for n 〉 1 and So-0 i) [3 marks] Briefly explain why the filtration {F,:n 〉 0} gener- 0 generated by ated by Xo, X1,.. . , Xn and the filtration , n So, S1, , Sn should be identical ії) [5 marks] Show that {X,,n 〉 0} is a...
3. (8 marks) Regarding the optimization of f(x) subject to the constraint g(x) x(n) are choice variables and c is a parameter, state the optimization problem and the first-order and second-order conditions for both a maximum and a minimum, where the Lagrangian and Lagrangian multiplier are denoted as l(x) and λ, respectively. c, where 3. (8 marks) Regarding the optimization of f(x) subject to the constraint g(x) x(n) are choice variables and c is a parameter, state the optimization problem...
Draw the internal force diagrams (N,V,M) a = 3m b = 30m F1 = 32N
as 6. Rearrange the following. Remember to write pm() a. Make L the subject of f = 2xVLC b. Make M the subject of T = M-m 1+Mm c. Make h the subject of A = arvr2 + h2 d. Make R the subject of V = m (3R2 + h?) 7. Solve the following: a. Solve x + 2 + 2x = 4. Give the smaller value. b. Give the larger value to part 7.a. c. Solve x +...