Homework

 

General Homework Policies:

IMPORTANT: We make up our own homework problems instead of taking them from a book, to make the course more up to date and relevant.  One regrettable consequence of this policy is that the homework assignments will almost certainly contain mistakesIf you find something in an assignment that doesn't work out, check with a TA or faculty member to see if there is an error before spending hours looking for your own error.

 

2012 Assignments

    1. MATLAB assignment (Due Friday Feb 3).  Solutions Before doing this assignment please work through sections 1-15 of the MATLAB tutorial. Brown users can download MATLAB from the CIS server. For off-campus use you will need to install the VPN client first, and make a VPN connection to Brown (the username and password for connecting to VPN are the same as those you use to access BANNER or your Brown email)
    2. Kinematics and dynamics of Particles (Due Friday Feb 10). Solutions
      Additional optional un-graded practice problems (don't hand them in!) (From Nelson, et al, 'Engineering Mechanics: Dynamics  Amazon link>>) Kinematics: 2.45, 2.48, 2.52, 2.58, 2.60, 2.66, 2.73, 2.75, .276 (hard) 2.81, 2.82, 2,86, 2.90, 2.98, 2.99, 2.104, 2.105, 2.106, Forces and motion: 3.32, 3.36, 3.37, 3.39, 3.43, 3.48, 3.49, 3.52, 5.68, 5.91, 5.92, 5.95, 5.96, 5.101, 5.106, 5.114, 5.123, 5.125, 5.140, 5.141, 5.155, 
    3. Solving equations of motion for particles (Due Friday Feb 17) Solutions
      Additional optional un-graded practice problems (Nelson et al) 3.33, 3.45, 3.54 (the problem should read “show that the solution to the equation of motion is…”) 3.58, 3.59 Matlab scripts: animate_impeller.m animate_projectiles.m, animate_pendulum.m
    4. Energy and Momentum for Particles (Due Friday March 2) Solutions Additional optional un-graded practice problems (Nelson et al) Work and Energy for particles 6.43, 6.44, 6.46, 6.47, 6.55, 6.57, 6.64, 6.66, 6.68, 6.79, 6.90. 6.92, 6.93, 6.94, 6.95 Impulse/Momentum for particles 7.54, 7.55, 7.59, 7.62, 7.84, 7.85, 7.86, 7.87, 7.89, 7.90, 7.97, 7.98, 7.100, 7.101, 7.102
    5. Free Vibrations (Due Friday March 23) Solutions Optional ungraded practice problems: 8.3, 8.4,
      8.5, 8.6, 8.7, 8.16, 8.18, 8.19, 8.20
    6. Forced Vibrations (Due Friday April 6) (Solutions) Correction
    7. Rigid Bodies 1 (Due Friday April 13) Matlab file with helmet acceleration data Solutions MATLAB solution
    8. Rigid Bodies 2 (Due Friday April 27) Solutions

2011 Assignments

  1. MATLAB assignment (Due Friday Feb 4).  Before doing this assignment please work through sections 1-15 of the MATLAB tutorial Solutions
  2. Kinematics and dynamics of Particles (Due Friday Feb 11). Solutions
  3. Solving equations of motion for particles (Due Friday Feb 18) Solutions
  4. Energy and Momentum for Particles (Due Friday March 4) Solutions
  5. Free Vibrations (Due Friday March 25) Solutions
  6. Forced Vibrations (Due Friday April 8) Solutions
  7. Rigid bodies Due Friday April 16 Solutions
  8. Rigid bodies - due Friday April 29 Solutions. Note that there is a mistake in the solution for problem # 2, Eq. 4, which should read as a_x = - R theta_2_dot/2 instead of a_x = - R
    theta_2_dot. However, the damage is contained. The only difference is, friction force is now f = (4/9) mg instead of mg/2. The disk still slips along the inclined plane and the rest of the solution is valid.

2010 Assignments

    1. MATLAB assignment (Due Friday Feb 5). Before doing this assignment please work through sections 1-14 of the MATLAB tutorial Solutions
    2. Particle Dynamics (Due Friday Feb 12) Solutions
    3. Particle Dynamics 2 (Due Friday Feb 19) Solutions
    4. Energy/Momentum (Due Friday March 5)  MATLAB file for snooker problem Solutions
    5. Vibrations 1 (Due Friday, March 26) Solutions
    6. Vibrations 2 (Due Friday, April 9)  Solutions - NOTE error in frequencies in final problem (Greenhouse Gas) of sqrt(3) that is not correct in solutions !!!
    7. Rigid bodies 1   (Due Fri April 16)
    8. Rigid bodies 2   solutions (Due Fri April 30)

2009 Assignments

    1. MATLAB tutorial and MATLAB assignment (Due Friday Jan 30) Solutions
    2. Particle dynamics (Due Friday Feb 6) Solutions
    3. Analyzing motion of particles with MATLAB (Due Friday Feb 13) Solutions
    4. Energy methods for particles (Due Friday Feb 27) Solutions
    5. Linear and Angular Momentum for particles (Not graded - use as exam prep) Solutions
      The matlab snooker simulation can be downloaded here
    6. Vibrations 1 (Due Friday, March 20) Solutions NOTE: Prob. 2 depends on Lo.  Assume L=Lo.
    7. Vibrations 2 (Due Friday, April 3) (Last Problem revised slightly on March 29/30) Solutions
    8. Vibs/Rigid-Body Project HW (Part 2 of the attached file, which is the Project description; new file with slight modifications to clarify analysis was posted 4/6/09)  Solution
    9. Kinematics of Rigid Bodies ; Solutions
    10. Dynamics of Rigid Bodies ; Solutions