ME 391 Lecture Notes - Lecture 4: Damping Ratio, Dashpot, Eigenfunction
Document Summary
3. 4 #18: solve the given di erential equation by undetermined coe cients. 3. 4 #30: solve the given initial value problem. 3. 5 #12: solve the di erential equation by variation of parameters. 3. 5 #28: discuss how the methods of undetermined coe cients and variation of parameters can be combined to solve the given di erential equation. 3. 8 #27: a mass weighing 10 pounds stretches a spring 2 feet. The mass is attached to a dashpot damping device that o ers a damping force numerically equal to. ( > 0) times the instantaneous velocity. Determine the values of the damping constant so that the subsequent motion is: overdamped, critically damped, underdamped. 3. 8 #29: a mass weighing 16 pounds stretches a spring / feet. The mass is initially released from rest from a point 2 feet below the equilibrium position, and the subsequent motion takes place in a medium that o ers a damping force numerically equal to one-half the instantaneous velocity.
