The Crane Operator's Tricks and other Shenanigans with a Pendulum
Stephan Schlamminger, Leon Chao, David B. Newell, Vincent Lee
The dynamics of a swinging payload suspended from a stationary crane can be described as a simple pendulum, typically an unwelcome phenomenon on a construction site. An experienced crane operator can deliver a swinging payload and stop dead on target in a finite amount of time by strictly modulating the speed of the trolley. Generally, a series of precisely timed go-stop movements of the trolley are implemented to damp out the kinetic energy of the simple harmonic oscillator. Here, these mysterious crane operator's tricks will be revealed with a mathematical model, ultimately expanding to a generalized form capturing the case where the load is initially swinging. Finally, this theory is applied to a scientific experiment using a torsion balance to measure $G$, the universal gravitational constant responsible for the swinging of the crane's payload in the first place.
, Chao, L.
, Newell, D.
and Lee, V.
The Crane Operator's Tricks and other Shenanigans with a Pendulum, American Journal of Physics, [online], https://doi.org/10.1119/10.0006965, https://tsapps.nist.gov/publication/get_pdf.cfm?pub_id=932195
(Accessed December 9, 2023)