Questions asked
Q1) a- Determine the voltage $$v_o$$ using superposition for the circuit shown in Figure 1. 4 A 8 $$\Omega$$ 12 V 5 $$\Omega$$ $$v_o$$ 2 A 10 $$\Omega$$ Figure 1
Solve each question via both analytical and numerical calculation methods in your answer sheets. Note: ANSYS, ABAQUS, or any other software can be used in the analysis QUESTIONS 1) In typical single edge and center cracked cases following material properties are used: Young's modulus $E = 80000$ MPa Poisson's ratio = 0.3 Applied stress $\sigma = 100$ MPa Plate width $w = 20$ mm Calculate $K_1$ values for different crack lengths $a = 2, 4, 6$ and $8$ mm by using; a) analytical b) numerical methods In case of single edge crack $K_1 = \sigma \sqrt{\pi a} \left[ 1.122 - 0.231 \left( \frac{a}{b} \right) + 10.550 \left( \frac{a}{b} \right)^2 - 21.710 \left( \frac{a}{b} \right)^3 + 30.382 \left( \frac{a}{b} \right)^4 \right]$ In case of center crack $K_1 = \sigma \sqrt{\pi a} \left[ 1 - 0.5 \left( \frac{a}{b} \right) + 0.370 \left( \frac{a}{b} \right)^2 - 0.044 \left( \frac{a}{b} \right)^3 \right] / \sqrt{1 - \frac{a}{b}}$ where: 2a is the length of crack, 2b is the width of plate
Question 4 (IS marks) a. A soil sample has a mass of 129.1 g and a voluine or \( 56.4 \mathrm{~cm}^{\prime} \). The mass of the soil grains is 121.5 g . The soil grains" 3 pecific gravity G, is 2.7 . Find the water content \( w \), the void ratio c , and the degree of saturation s . (5 marks)
Let I be an ideal in $k[x_1, \dots, x_n]$, and let $f_1, f_2, \dots, f_r \in k[x_1, \dots, x_n]$. Prove that the followings are equivalent: i) $f_1, \dots, f_r \in I$ ii) $<f_1, \dots, f_r> \subset I$
Equivalent Ratios Complete each equivalent ratio. 5. \( \frac{4 \text { boys }}{7 \text { girls }}=\frac{8 \text { boys }}{\square^{\text {girls }}} \)
As a hacker/attacker, whay type of infrastructure would you choose to attack, and which attack method would you choose? Why?
Question 3 These individuals were artists and poets in the Harlem Renaissance during 1920s? A Oprah Winfrey and Langston Hughes B Langston Hughes and Zora Neale Hurston C Upton Sinclair and Aaron Douglas D Edgar Allen Poe and Ernest Hemingway
Care strategies need to be easy to understand and consistently applied. True False
Use the Scenario I to answer questions 6 & 7: Xenia has 10,000 people. Of this population, 1,000 residents are below age 16, and 2,000 have given up looking for work. Currently, 500 people are unemployed but are actively looking for work, and the rest are fully employed. Look at the scenario I. What is the unemployment rate? A) 7% B) 5% C) 77% D) 55%
Given: $f(x) = \sqrt{x} + \frac{1}{\sqrt{x}}$. Find: $f''(x)$. Select one: Oa. $-\frac{1}{x^{\frac{3}{2}}} + 3x^{\frac{1}{2}}$ Ob. $-\frac{1}{x^{\frac{3}{2}}} + \frac{1}{3x^{\frac{5}{2}}}$ Oc. $-\frac{1}{4x^{\frac{3}{2}}} + \frac{3}{4x^{\frac{5}{2}}}$ Od. $\frac{1}{2x^4}$
