Question 1 and 4 A two-dimensional object whose area has changed by AA as a result...
QUESTION 7** On a 1 m square plate is a hole of area A 0.3 m2 at T: 200 K The plate is made of a material whose linear thermal expansion coefficient is α increase AA of the area of the window at T-300 K compared with that at T- 200 K? 13 x 10 6 K l what is the ΔΑ: 5.3x10-4m2 ΔΑ = 7.8 × 10-4 m2 ΔΑ = 9.3 × 10-4 m2 ΔΑ =11.2×10-4 m2 4A =...
Question #4 using the following the formula (-b/2a,f(-b/2a)) Find two positive real numbers whose product is a maximum. 1. The sum is 110 2. The sum of the first and twice the second is 24 Numerical, Graphical, and Analytical Analysis 3. A rancher has 200 feet of fencing to enclose two adjacent rectangular corrals (see figure) (a) Write the area A ofthe corral as a function of (b.) Write the area function in standard (vertex) form to find the dimensions...
QUESTION 4 The total kinetic energy, in kJ, of an object whose mass is 100kg and whose velocity is 20m/s is 80kJ 60kJ 40kJ 20kJ
Question 2 (25%) A. Figure 1 depicts a two-dimensional instance space, where the instances or data points are labeled with either circle or triangle. Can the instances be linearly separated by a learning (3 Marks) algorithm? Justify your answer. Figure 1: a two dimensional representation of data instances B. Figure 2 depicts another data set, where the instances or data points are labeled with either circle or triangle. Can the instances be separated a learning algorithm? Justify your answer. (3...
1. For the two-dimensional weir with a sharp crest shown in Figure 1, the equation for the flowrate per unit width, q, is given as 1) Applying the dimensional analysis, Buckingham theorem, show that C.' is the function of Reynolds number (Re D), Weber number (We , and P/H as given by Eq. (2). Assume that independent variables for the two-dimensional weir problem are q, H, P, μ, σ and g 4,-viscosity of water; σ-surface tension; ρ water density, g-gravitational...
Question 4 Area on a P-V diagram has units associated with: temperature O number of moles 'n O momentum energy change in temperature Question 8 Resistivity of a wire depends on both length and cross-sectional area length cross-sectional area O material
QUESTION 2 21 Finite elements can appear in many forms such as two-dimensional and three- dimensional domains Give two examples and a sketch for each domain. (4) 22 Explain the following terms as used in Finite element equations a Plain stress b Plain strain 23 Use the Finite element method to develop the stiffness matrix for element 2 of the steel cantilever beam structure shown in Figure 2 The elastic modulus IS 200 kN/mm2 with a thickness of 1 unit...
4. Drag Coefficient. Fluid flows past the two-dimensional triangular wedge shown in Figure 3. The equilateral triangle has side length a, and a span length of 1 unit out of the plane. The pressures on both the front faces are constant values PA as shown in the figure, and constant value PB on the back face. The average shear stress on each of the front faces is Tavg Assume that the drag due to pressure is equal to the drag...
Question 4 10.5 pts Object 1 has a total charge of -2e and object 2 has a total charge of +4e. They are involved in a charging process and object 2 gives 4 electrons to object 1. What is the total charge of object 1 in terms of e now? 10.5 pts D Question 5
3. An object movea in two dimenaiona according to thia poaition vector aa a function of time F(t) 20ti + 45tj - 4.9tj (in metera) a. Determine the velocity of the object aa a function of time b. Determine the object'a initial apeed at t0 a o. Show that the polar angle giving the direction of the object'a initial velocity ia 66 d. What ia the object'a acceleration vector at t- 3 a? e. How far in the x-direction does...