set3 - Department of Physics The Ohio State University...

Info iconThis preview shows pages 1–2. Sign up to view the full content.

View Full Document Right Arrow Icon
Department of Physics Prof. R. Bundschuh The Ohio State University Third Problem Set for Physics 664 (Theoretical Mechanics) Spring quarter 2004 Important dates: May 31 no class, Jun 9 9:30am-11:18am Fnal exam Due date: Thursday, Apr 15 7. Anharmonic oscillator 8 points As another example of an anharmonic oscillator, we will consider a particle of mass m that moves in one dimension under the in±uence of the force F ( x ) = - F 0 x | x | = + F 0 x < 0 0 x = 0 - F 0 x > 0 a) Calculate the potential U ( x ) corresponding to this force with U ( x = 0) = 0. [Hint: calculate the potential independently for x > 0 and x < 0 and piece your solutions together afterward.] b) Derive the relation ˙ x ( x ) and draw the phase portrait for this anharmonic oscillator. c) Solve the equation of motion of the anharmonic oscillator for the initial conditions x (0) = A and ˙ x (0) = 0 for times t during which x ( t ) > 0. d) Calculate the dependence of the period
Background image of page 1

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
Image of page 2
This is the end of the preview. Sign up to access the rest of the document.

Page1 / 2

set3 - Department of Physics The Ohio State University...

This preview shows document pages 1 - 2. Sign up to view the full document.

View Full Document Right Arrow Icon
Ask a homework question - tutors are online