Final exam 2nd semetster 2019-2020 course Applied engineering maths (Quiz no 1) - ĐH Sư phạm Kỹ thuật

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Final exam 2nd semetster 2019-2020 course Applied engineering maths (Quiz no 1) - ĐH Sư phạm Kỹ thuật

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Final exam 2nd semetster 2019-2020 course Applied engineering maths gồm 3 câu hỏi hệ thống lại kiến thức học phần và giúp các bạn sinh viên ôn tập kiến thức đã học, chuẩn bị cho kỳ thi sắp tới. Tài liệu hữu ích cho các các bạn sinh viên đang theo học và những ai quan tâm đến môn học này dùng làm tài liệu tham khảo.

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

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