Visualizing the tension on wire for a suspended mass with python

I’ve been playing around with the idea of building a rig to suspend an object, like a camera or prop, using three wires and then control its position in 3-D space using a few stepper motors and a micro-controller. The general idea is similar to the skycam system they use at football games and other pro sports, or a large scale delta robot. The first thing I needed to figure out was how much I wanted this rig to be able to hold and how much tension (force) would be required to hold and move this weight around. Additional I wanted to be able to visualize the results so I could look for any peaks, valleys or other anomalies that would throw off my calculations. I ended up writing the python script below utilizing the mpmath, sympy and matplotlib libraries to calculate the tension on a wire due to a suspend mass at a specific height and plot it as the weight moves around the x/y plane. The image below is a sample of the output from this script for a 5 kg mass suspend 2.0 m above the ground with three anchor points at 3.0 m above ground level and each 120 degrees apart.

wire_tension_plot

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