emblem
Tying 2 cylindrical rods
Simulates the length of a string tying 2 cylindrical rods.
2024.Nov.25 05:55:27
Distribution of R   (μ, a|σ): Distribution of (random) R. •
Distribution of r   (μ, a|σ): Distribution of (random) r. •
N 10 ^ (≤ 7) No. of random trials. •
.seed, klass Seed for random numbers, and no. of histogram classes. •
Show values Shows the coordinates of the graph. •

Simulates, via Monte Carlo, the length, L, of a string tying two parallel (tangent) cylindrical rods. In the Figure, is shown a pulley system, but the present problem is like two tangent pulleys.

Plots the density function (pdf), f(L), and the probability function (cdf), F(L), and estimates the mean and standard deviation of L.

Other suggested data for (distr., μ, a): any values that do not generate negative radii.

pulleys
References: Plate: Tying2rods

• Wikipedia: Pulley problem.

• 1863-08-15: Krylov, Aleksei Nikolaevich (Алексе́й Никола́евич Крыло́в) (1945-10-26).

 
 
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Created: 2014-08-16 — Last modified: 2014-08-18