What is it about?

A can sliding on a table, or a planetary lander moving horizontally across a surface, strike and stick to a low obstacle. Will they rock back to upright, or tip over? We show how the tip-overspeed depends on the object's shape, and local gravity.

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Why is it important?

In early 2024 two lunar landers (SLIM and IM-1) toppled over on landing. Although other effects turned out to be the culprits for these landers, their "top-heavy" designs did not help! We show how to calculate the tip-over speed of any object on any planet. This problem is a practical example of angular momentum conservation in an inelastic collision. and suggest how to test our results with a simple experiments in the physics teaching laboratory. A video abstract is provided at the journal website.

Perspectives

Physics textbooks typically only provide a couple of examples inelastic ("sticky") collisions that conserve angular momentum: One disk dropping onto another, and a falling rod that catches on a pivot. Both are somewhat contrived. The landing mishaps of SLIM and IM-1 prompted us to look into this problem, and the calculation of tip-over speed ended up as a practical -and accessible - demonstration of the same physics principles. It also lends itself to testing in the teaching laboratory using easy-to-assemble equipment. Supplementary materials provide more details on the collision physics and the lab experiment. A video abstract showing the experiment is provided at the Physics Education journal website.

Dr. Philip Blanco
Grossmont College

Read the Original

This page is a summary of: Tripping on the Moon, Physics Education, June 2024, Institute of Physics Publishing,
DOI: 10.1088/1361-6552/ad539c.
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