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A pendulum of certain mass 'm' is attached to a rod of length 'I' and is After applying constrained to move on xy-plane appropriate physical laws and relevant approximations, it is found that th angle e follows the following ordinary differential equation(ODE): e =0 انتقل إلى الإعدادت لتنشي Here g = 9.81 m/s², the acceleration due to gravity. %3D Solve the above ODE using ode45 from t = 0 to 2.5 sec with a step size

A pendulum of certain mass 'm' is attached to a rod of length 'I' and is After applying constrained to move on xy-plane appropriate physical laws and relevant approximations, it is found that th angle e follows the following ordinary differential equation(ODE): e =0 انتقل إلى الإعدادت لتنشي Here g = 9.81 m/s², the acceleration due to gravity. %3D Solve the above ODE using ode45 from t = 0 to 2.5 sec with a step size

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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A pendulum of certain mass 'm' is attached to a rod of length 'I' and is constrained to move on xy-plane After applying appropriate physical laws and relevant approximations, it is found that the angle e follows the following ordinary differential equation(ODE): Windo انتقل إلى الإعدادت لتنشيد Here g = 9.81 m/s?, the acceleration due to gravity. %3D Solve the above ODE using ode45 from t = 0 to 2.5 sec with a step size of 0.1 sec. Plot 0(t) and (t) in the same plot from t = 0 to 2.5sec Use I= 0.5 m and initial conditions e(0) = 0.0 and 0(t) = 0.25 (HINT: You need to decompose the above second order ODE into two first order ODES)
Transcribed Image Text:A pendulum of certain mass 'm' is attached to a rod of length 'I' and is constrained to move on xy-plane After applying appropriate physical laws and relevant approximations, it is found that the angle e follows the following ordinary differential equation(ODE): Windo انتقل إلى الإعدادت لتنشيد Here g = 9.81 m/s?, the acceleration due to gravity. %3D Solve the above ODE using ode45 from t = 0 to 2.5 sec with a step size of 0.1 sec. Plot 0(t) and (t) in the same plot from t = 0 to 2.5sec Use I= 0.5 m and initial conditions e(0) = 0.0 and 0(t) = 0.25 (HINT: You need to decompose the above second order ODE into two first order ODES)
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