Unless otherwise noted, all assignments are taken from the Text. Problem numbers are the numbers used in the Text.
Due date and location for submission
Problems are due by 5 o'clock pm on the due date.
Your problem set should be put into the marked
folder in the file drawer marked
ES-125, which is
one of the black two drawer file cabinets on the left hand side of the
hall as you exit from the class.
Problem Set #1: Problems 1.7; 1.8; 1.11; 1.14; 1.22 ( note; stress=strain x Young's Modulus; strain= deflection/original length), and problem 1.27 ( note for this problem you wish to express the total kinetic energy in terms of the equivalent mass times the square of the velocity of the x coordinate) Because of the holiday the problem set is due on Tuesday at 5 pm
Problem Set #2: Due Monday October 18. Prove that M sub p = dH sub p/dt for the three cases of the location of the point p; indicate which vectors are in an inertial coordinate system. Problem 1.31 ( Note the mass polar moment of inertial of a sphere about its center is 3/5 times (mRsquared). This is not the mass moment of inertia about a axis through the center of the sphere); Problem1:54 - assume that the two harmonics have the same amplitude; Problem 1.56 ( easy); 1.62; and 1.65 Look at 1.66 and note that the result is that a truncated the Fourier Series, with the coefficients found in the usual way, minimizes the mean squared error of the approximation to the periodic function. This is something useful to remember.
Problem Set #3: Due Monday October 25. Problems 2.6; 2.9; 2.13; 2.24; 2.27; 2.41. Note that 2.24 was added on Thursday.
Problem Set #4: Due Tuesday November 2. Problems 2.63; 2.72; 2.80; 2.90 through 2.92; 2.98
Problem Set #5: Due Monday November 22. Problem 3.19; 3.32; Chapter 4 - You can use Laplace Transforms if you like to solve these problems or you can use convolution - 4.16 (what does the solution look like if a>c in the solution?), 4.18, and problem 4.34
Problem Set #6: Due Monday December 6, 1999. Problem 4.45; 4.46; and 4.47. In Chapter 5, 5.1; 5.18.
Problem Set #7: Due Thursday December 16, 1999. Problem 5.4; 5.8; 5.24; 5.25