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lhw6 - problem 3 Recall that the bungee jumper problem may...

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Michigan State University College of Engineering EGR 102 INTRODUCTION TO ENGINEERING MODELING (Spring 2010) Lecture Homework 6 Issued: Friday, February 26, 2010 Due: Friday (in lecture), March 5, 2010 1. The following MATLAB commands calculate 1,000! (i.e., 1000 · 999 · 998 · · · 2 · 1): >> x = 1; >> for i = 1:1000 >> x=x*i; >> end >> x Now, write MATLAB commands on paper to add the first 1,000 even numbers (i.e., 2+4+6+8+...). Likewise use a for loop structure to solve this problem. 2. You borrow $300,000 for 30 years with a 5% annual interest rate (not uncommon for a home loan). You will make equal annual payments to pay off the loan. Write MATLAB commands on paper to determine your annual payment and what portion of the 25th payment covers principal. Again use a for loop structure to solve this
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Unformatted text preview: problem. 3. Recall that the bungee jumper problem may be solved iteratively with Euler’s method, i.e., v i +1 = v i + ( g-c d m v i )Δ t. Draw a flowchart to calculate the velocity of a bungee jumper initially at rest at t = 1,000 sec with Δ t = 0.001 sec. Use a while loop structure to solve this problem. Also, use the flowchart symbols on page 32 of the lecture notes. Your flowchart should include terminal blocks to indicate the start and end of your flowchart and input/output blocks to read in the values of g , c d , and m and print the value of the velocity at t = 1000 sec....
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