The differential equation for ô + 2y0 + w? sin 0 = %3D 0 s-1, 00 = 0.5 radians, and Ise the Euler-Cromer method

Classical Dynamics of Particles and Systems
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ISBN:9780534408961
Author:Stephen T. Thornton, Jerry B. Marion
Publisher:Stephen T. Thornton, Jerry B. Marion
Chapter4: Nonlinear Oscillations And Chaos
Section: Chapter Questions
Problem 4.10P
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The differential equation for a damped pendulum is:
Ö+ 2y0 + w? sin 0 = 0
If w = 1.4 s-1, y = 2.0 s-1, Oo
one time step of 0.1 s? Use the Euler-Cromer method.
= 0.5 radians, and 0, = 0.1 radians/s what is 0 after
Transcribed Image Text:The differential equation for a damped pendulum is: Ö+ 2y0 + w? sin 0 = 0 If w = 1.4 s-1, y = 2.0 s-1, Oo one time step of 0.1 s? Use the Euler-Cromer method. = 0.5 radians, and 0, = 0.1 radians/s what is 0 after
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