A pendulum of certain mass 'm' is attached to a rod of length '' and is constrained to move on xy-plane (see Figure above). After applying appropriate physical laws and relevant approximations, it is found that the angle e follows the following ordinary differential equation(ODE): e = 0 Windgw b انتقل إلى الإعدادت لتنش Here g = 9.81 m/s?, the acceleration due to gravity. Solve the above ODE using ode45 from t = 0 to 2.5 sec witha step size of 0.1 sec. Plot 0(t) and (t) in the same plot from t = 0 to 2.5sec %3D Use I = 0.5 m and initial conditions e(0) 0.0 and é(t) = 0.25 %3D || (HINT: You need to decompose the above second order ODE into two first order ODES)
A pendulum of certain mass 'm' is attached to a rod of length '' and is constrained to move on xy-plane (see Figure above). After applying appropriate physical laws and relevant approximations, it is found that the angle e follows the following ordinary differential equation(ODE): e = 0 Windgw b انتقل إلى الإعدادت لتنش Here g = 9.81 m/s?, the acceleration due to gravity. Solve the above ODE using ode45 from t = 0 to 2.5 sec witha step size of 0.1 sec. Plot 0(t) and (t) in the same plot from t = 0 to 2.5sec %3D Use I = 0.5 m and initial conditions e(0) 0.0 and é(t) = 0.25 %3D || (HINT: You need to decompose the above second order ODE into two first order ODES)
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Transcribed Image Text:Inverted Pendulum:
A pendulum of certain mass 'm' is attached to a rod of length 'I' and is
constrained to move on xy-plane (see Figure above). After applying
appropriate physical laws and relevant approximations, it is found that the
angle e follows the following ordinary differential equation(ODE):
انتقل إلى الإعدادت لتنشيد
Here g = 9.81 m/s, the acceleration due to gravity.
Solve the above ODE using ode45 from t = 0 to 2.5 sec witha step size
of 0.1 sec.
Plot 0(t) and e(t) in the same plot from t = 0 to 2.5sec
Use I= 0.5 m and initial conditions e(0)
0.0 and é(t) = 0.25
(HINT: You need to decompose the above second order ODE into two first
order ODES)
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