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. | HO CHI MINH CITY UNIVERSITY OFFINAL EXAM 2nd SEMESTER 2019 - 2020 TECHNOLOGY AND EDUCATION Course APPLIED ENGINEERING MATIIS FACULTY OF MECHANICAL ENGINEERING Course code AMME131529 Quiz No. 01 No. of pages 02 DEPARTMENT OF MECHATRONICS Duration 90 minutes Open-book examination. Question 1 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 2. Use Laplace Transform method to determine the position variation of the weight y t . Question 2 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 1. Table 1. Output power versus time of the tested PV panel t minutes 0 10 20 30 44 60 75 90 105 115 120 Output power W 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 2 hours. Question 3 points Given the following equation system 4-Xj_ x 4- 5 2 2 2 6 4 2x t x2 2 3 5 4 8 x x 2 4 3 4 1 3x t 2 2 4 3 4 6 a. Rewrite the system in matrix format 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 Exant question CLO Able to
