Pendulum Without the Small Angle Approximation
776 بار بازدید -
ماه قبل
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In this video, I solve
In this video, I solve the non-linear dynamics problem of the pendulum without using the small angle approximation. The final result involves elliptic integral functions and beta functions.
Intro: (00:00)
First integral of motion: (00:40)
Consequences: (10:06)
General solution: (13:40)
Time period: (21:00)
Small angle limit: (29:20)
#physics #pendulum #smallangle #mechanics #mathematics #calculus #trigonometry #analysis #sum #integral #integralcalculus #sines #cosine #differentialequation #nonlinear #gravity #beta #gamma #taylorseries #asymptotic
#drpeyam #blackpenredpen #flammablemaths #3blue1brown #michaelpenn #khanacademy #tibees #andrewdotson #stevemould #vibingmaths
Intro: (00:00)
First integral of motion: (00:40)
Consequences: (10:06)
General solution: (13:40)
Time period: (21:00)
Small angle limit: (29:20)
#physics #pendulum #smallangle #mechanics #mathematics #calculus #trigonometry #analysis #sum #integral #integralcalculus #sines #cosine #differentialequation #nonlinear #gravity #beta #gamma #taylorseries #asymptotic
#drpeyam #blackpenredpen #flammablemaths #3blue1brown #michaelpenn #khanacademy #tibees #andrewdotson #stevemould #vibingmaths
ماه قبل
در تاریخ 1403/04/22 منتشر شده
است.
776
بـار بازدید شده