Combined viscous and dry friction damping of oscillatory motion
Why this work is in the frame
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Bibliographic record
Abstract
The acceleration, velocity, and displacement of a glider on an air track undergoing oscillatory motion subject to viscous and dry frictional damping are investigated using an accelerometer, which allowed a detailed investigation of the dynamics, experimental observation of the predicted acceleration discontinuities due to the reversal of the friction force, and the variation of the drag with time, velocity, and displacement. The investigation included systematic variation of the air track air pressure to explicitly control the relative contribution of viscous and dry frictional damping. Although frictional damping of oscillatory motion has been treated by a number of authors, most investigations have been restricted to measurements of displacement only, with the primary interest being in the decay of the amplitude. In this paper, an exact theory of the acceleration of oscillatory motion, assuming viscous damping proportional to the velocity plus a Coulomb friction force independent of velocity or position, is presented and compared with experiment.
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Full frame distilled prediction
Teacher imitationNot calibrated prevalence, not ground truth. Human validation pending. Learned from the 10,348 direct Codex labels and 10,348 direct Gemma labels. Candidate is the union of thresholded teacher heads; consensus is their intersection. These outputs are machine_predicted_unvalidated and are not human labels or direct frontier model labels.
Codex and Gemma teacher scores by category
| Category | Codex | Gemma |
|---|---|---|
| Metaresearch | 0.000 | 0.000 |
| Meta-epidemiology (narrow) | 0.000 | 0.000 |
| Meta-epidemiology (broad) | 0.000 | 0.000 |
| Bibliometrics | 0.000 | 0.000 |
| Science and technology studies | 0.000 | 0.001 |
| Scholarly communication | 0.000 | 0.000 |
| Open science | 0.000 | 0.000 |
| Research integrity | 0.000 | 0.000 |
| Insufficient payload (model declined to judge) | 0.000 | 0.000 |
Machine scores (provisional)
The two teacher heads of the student model, read on this work. A score orders the frame for review; it never asserts a category, and the validation status ships verbatim with every row.
Baseline scores from an immature model (maturity gate not passed, 7 training rounds). Scores rank; they never assert a category.
score_only:v0-immature-baseline · verbatim from the scoring run: score_only means the number may rank works, and no category label ships from it