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FINAL EXAM 2nd SEMESTER (2019 - 2020) Course: APPLIED ENGINEERING MATIIS Course code: AMME131529 FACULTY OF MECHANICAL ENGINEERING Quiz No.: 01 No of pages: 02 DEPARTMENT OF MECHATRONICS Duration: 90 minutes Open-book examination HO CHI MINH CITY UNIVERSITY OF TECHNOLOGY AND EDUCATION Question 1: (4.0 points) A 1-lcg weight is attached to the lower end of a vertical spring-cylinder system, stretching it 1/3 inches The weight is allowed to come to rest in the equilibrium position At some later time, which we call time 0, the weight is struck a downward by an vertical force f(t) = H(t-l)x(2t+l) Given that the mathematical equation of the mechanical system as below: y” + 9y’ + 20y = f(t) Given that initial values of the system are y’(0) = 1; y(0) = Use Laplace Transform method to determine the position variation of the weight y(t) Question 2: (3.0 points) To investigate the thermos-electric performance of a PV panel, an out-door experiment has been conducted The PV panel is placed facing South and exposed to the Sun from 10:00am to 12:00am The experimental data are given in the following Table Table Output power versus time of the tested PV panel t (minutes) Output power (W) 1.1 10 1.5 20 3.5 30 2.8 44 60 75 4.0 1.7 3.7 90 5.1 105 5.0 115 4.7 120 4.1 a Apply 3rd order Newton’s polynomial interpolation to find output power at 11:05am (which means t = 65) b Employ Simpson 3/8, Simpson 1/3 and Trapezoidal integration models where most applicable to find the total output electricity energy amount produced by the PV panel within the hours Question 3: (3.0 points) Given the following equation system: 4-Xj_ 2x t { x \ + * + x2 + + x 4- + x + 4*3 + 3x t + *2 + * = *3 + *4 = 4* *4 = + *4 = a Rewrite the system in matrix format A.X = B wherein X is the variable matrix, b Find A '1 c Make use of the results in b to solve the equation system by Inverse matrix method END Note: Examiners are not allowed to explain quiz contents Code No.: BM1/QT-PDBCL-RDTV Page: 1/2 Course Learning Outcomes [CLO 1.2]: Able to apply Laplace Transform method to solve differential - integral equations [CLO 1.3]: Able to apply mathematic methods to calculate, analyze and investigate mechanical and mechatronic systems [CLO 2.3]: Able to solve for polynomial interpolation methods when testing mechanical systems [CLO 4.1]: Able to calculate determinant, inverse matrix o f engineering systems Exant question Question Question 1, 2, Question Question Date: 07th July 2020 Code No.: BM1/QT-PDBCL-RDTV Page: 2/2 ... systems Exant question Question Question 1, 2, Question Question Date: 07th July 2020 Code No. : BM1/QT-PDBCL-RDTV Page: 2/2 ... systems [CLO 2.3]: Able to solve for polynomial interpolation methods when testing mechanical systems [CLO 4.1]: Able to calculate determinant, inverse matrix o f engineering systems Exant question.. .Course Learning Outcomes [CLO 1.2]: Able to apply Laplace Transform method to solve differential - integral equations [CLO 1.3]: Able to apply mathematic