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- Find the Inverse Laplace transform of the following. You may use the table, where applicable. Show COMPLETE solutions.A2. (a) How do you assess the accuracy of a finite element solution for a problem with an unknown solution? In order to use the new finite element software properly what is the "correct" procedure for the users to follow and why? (b) A two-dimensional truss structure depicted in Fig. A2 is analyseu w obtain displacements, reaction forces, strains, and stresses. The global node numbers are circled while element numbers are in boxes. a. Please correspondence table with reference to Fig. Á2. b. Give the size of the global structural stiffness matrix. construct the element-to-global displacement 10 Y 17 IS O 16 13 Fig. A2: A two-dimensional truss structure with node and element numbers. 2 - (c) Use Galerkin's method of weighted residuals to obtain an approximate solution of the differential equation: :- 10x² = 5 Osxsl with boundary conditions y(0) = y(1) = 0. Assuming a polynomial form for the solution as: y*(x) = , + Gx + c,xFind the Laplace transform of f(t)={0, t<3 ={t2−6t+13, t≥3 F(s)=
- Choose the letter of the correct answer. Please answer honestly and do not just guess. | It is an assumption used in the study of mechanics where it treats matter as consisting of continuous elements. c. Infinitesimal view d. Two of the above a. Quantum view b. Continuum view It is a number differentiating the regime between where you can apply the above mentioned assumption. a. Reynolds Number b. Nusselt Number 2 c. Knudsen Number d. Atomic Number 3 2 Which of the following is true a. In fluids, the shear stress is directly proportional to the shear strain rate b. In solids, the shear stress is directly propotion to shear strain c. In newtonian fluids the ratio of shear stress and rate of shear strain is the viscosity d. All of the above 4 It is a type of fluids where the viscosity is directly proportional to the rate of shear strain. a. Ideal Plastics b. Dilatants c. Pseudo Plastics d. None of the above Latex paint is an example of a. Ideal Plastics c. Pseudo Plastics d. None of the…b) Uniform streams of fluid cross the boundary of a control volume containing a solid object. Briefly explain how Newton's 2nd and 3rd laws allow the resultant force vector acting on the body to be derived. Figure 2 shows a steady, uniform two-dimensional jet of liquid in the atmosphere impinging on a flat plate inclined at an angle q to the jet axis. The jet cross section area is A, and its velocity is u. The liquid density isr. It is assumed that there are no flow losses, and that all the streamlines end up parallel to the plate. Explain why the resultant force acts perpendicular to the plate, and show that its magnitude is: R22. A.u cosa Figure 2 A• Use the definition of Laplace transform to find L{f (t)} for the given f (t). a) f(t) = cos2(t – n) %D b) f(t) = 2 sin 3t cos 3t 2 c) f(t) = sinh t 3
- solve accurately with stepsUniform streams of fluid cross the boundary of a control volume containing asolid object. Briefly explain how Newton’s 2nd and 3rd laws allow theresultant force vector acting on the body to be derived. Figure 2 shows asteady, uniform two-dimensional jet of liquid in the atmosphere impingingon a flat plate inclined at an angle q to the jet axis. The jet cross section areais A, and its velocity is u. The liquid density isr. It is assumed that there are noflow losses, and that all the streamlines end up parallel to the plate. Explainwhy the resultant force acts perpendicular to the plate, and show that itsmagnitude is:R . A.u cosFind the root of the following equation throughSecant method