Questions 24 and 26 22 Use the DETools program x t and ytgra

Questions 24 and 26

22. Use the DETools program x (t)- and y(t)-graphs associated to practice sketching the to a given solution curve in the xy-phase plane In Exercises 23-26. a solution curve in the x and an initial condition on that curve are specified. Sketch the x()- and y(t)-graphs for the solution 24. y

Solution

When a damped oscillator is subject to a damping force which is linearly dependent upon the velocity, such as viscous damping, the oscillation will have exponential decay terms which depend upon a damping coefficient. If the damping force is of the form.

then the damping coefficient is given by

This will seem logical when you note that the damping force is proportional to c, but its influence inversely proportional to the mass of the oscillator.