second order differential equation. d^2x/dt^2 + 16.085*x = 0, x(0) = pi/6, x'(0) = 0

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second order differential equation.
d^2x/dt^2 + 16.085*x = 0, x(0) = pi/6, x'(0) = 0

this is a swinging pendulum problem, where x is the angle the pendulum makes from vertical. The length of the pendulum is 2 and g = 32.17

d^2Theta/dt^2 + g/2*sin(theta) = 0

For small angles x is approximation for sin(x)

    • 7 years ago
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