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Short Assignment Requirements
NEW YORK INSTITUTE OF TECHNOLOGY
SCHOOL OF ENGINEERING AND COMPUTING SCIENCES
DEPARTMENT OF MECHANICAL ENGINEERING
OLD WESTBURY CAMPUS
MENG 438/602 Engineering Analysis Dr. J. Ma
Take Home Project 1 February 12, 2019
Due on February 26, 2019
Name: Score: /20
- Write your own MatLab programs to solve the problems. Main program for the method employed should be independent of the specific problem to be solved.
- Hand in all source codes and execution results.
1. (5 points)
Finding a re-arrangement of the equation
which will converge to a solution in the interval (1,3) to four decimal places when the fixed point iteration method is used.
2. (10 points)
Finding the root of the equation
xtan(x) = 2
in the interval (0,π/2) using (i) Bisection method; (ii) Secant method.
3. (5 points)
The design of a car suspension system involves a trade-off between comfort and stability for all driving conditions and speeds. Vibration analysis based on proper modeling of a car and required performance upon hitting a pothole reached the following equation:
⎛⎜⎜⎝0.05 mk − 4cm22 ⎞⎠⎟⎟+ 4kmc−c2 sin⎝⎛⎜⎜0.05 mk − 4cm22 ⎟⎟⎠⎞= 0
where the mass of the car m = 1.2 × 103 kg and the damping coefficient of its shock system is c = 1 × 104 kg/s. Find an appropriate value of k that satisfies this condition.