Re: Pendulum Help

[Doug Stewart]

On Sun, Oct 9, 2011 at 9:32 PM, Nelson Chung <address@hidden> wrote:

Dear all:

Can someone tell me how to compute the motion and the period for this pendulum equation?

x" + sinx = 0.

thanks.

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Nelson

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http://www.myphysicslab.com/pendulum1.html

Numerical Solution

To solve the equations of motion numerically, so that we can drive the simulation, we use the Runge-Kutta method for solving sets of ordinary differential equations. First we define a variable for the angular velocity ω = θ'. Then we can write the second order equation (1) as two first order equations.θ' = ωω' = − ^g⁄_R sin θThis is the form needed for using the Runge-Kutta method.

--

DAS

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