Probability Density Function for a Pendulum?

Thread starter bencmier
Start date Oct 2, 2012
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Density Density function Function Pendulum Probability Probability density Probability density function

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The discussion focuses on deriving the probability density function for a simple pendulum using the small angle approximation. The initial equation proposed is 1/(2 pi θmax) sec(sqrt(g/L)t), but there are concerns about its correctness. Participants question the definition of the random variable in relation to the probability density. The emphasis is on clarifying the probability density as a function of angle. Accurate formulation is essential for understanding the pendulum's behavior in this context.

Oct 2, 2012

bencmier

What is the probability density equation as a function of angle for a simple pendulum using the small angle approximation?

I got 1/(2 pi θmax) sec(sqrt(g/L)t) but it doesn't seem right.

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Oct 2, 2012

HallsofIvy

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The probability density of what random variable?

Oct 2, 2012

bencmier

HallsofIvy said:

The probability density of what random variable?

"as a function of angle"

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