{"id":"W2105397235","doi":"10.1115/1.2965372","title":"Dynamics of Mechanical Systems and the Generalized Free-Body Diagram—Part I: General Formulation","year":2008,"lang":"en","type":"article","venue":"Journal of Applied Mechanics","topic":"Dynamics and Control of Mechanical Systems","field":"Engineering","cited_by":39,"is_retracted":false,"has_abstract":true,"ca_institutions":"McGill University","funders":"","keywords":"Linear subspace; Configuration space; Mathematics; Tangent space; Orthogonal complement; Equations of motion; Rigid body; Diagram; Relaxation (psychology); Euclidean space; Subspace topology; Computer science; Applied mathematics; Mathematical analysis; Classical mechanics; Geometry; Physics","routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false,"invisible_to_affiliation_only":false},"retraction":null,"screen":null,"direct_labels":[],"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001021,0.000220284,0.0007476358,0.00009959076,0.00008896257,0.00003645834,0.0003854541,0.0001945146,0.000005743736],"category_scores_gemma":[0.00004336804,0.000149859,0.0002088826,0.0001583901,0.00002602863,0.00009497997,0.00007091144,0.0003242288,0.000001429853],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0001259427,"about_ca_system_score_gemma":0.00003506978,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00002114933,"about_ca_topic_score_gemma":0.00001582391,"domain_scores_codex":[0.9979501,0.00005221558,0.001080472,0.0001276988,0.0005314153,0.0002580523],"domain_scores_gemma":[0.9987702,0.0001265143,0.0004748383,0.0003268715,0.0001582151,0.0001432989],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"simulation_or_modeling","study_design_scores_codex":[0.000281586,0.00003028967,0.000001649224,0.00005937791,0.000207451,0.000009413685,0.00007506451,0.03240632,0.008054588,0.9576107,0.0002008462,0.001062668],"study_design_scores_gemma":[0.004250682,0.00009894161,0.000005199978,0.00003363957,0.0001133247,0.0001728357,0.00006309773,0.9522395,0.0006075802,0.04180577,0.0004503771,0.0001590641],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.2567748,0.001257548,0.7377406,0.0002944614,0.00219661,0.0007481691,0.00003771996,0.0000703711,0.0008798031],"genre_scores_gemma":[0.996785,0.0008225832,0.001843879,0.00003944727,0.0004131935,0.00001786939,0.000006122541,0.0000431408,0.00002870093],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.9198332,"threshold_uncertainty_score":0.6111073,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.007195384785446068,"score_gpt":0.1880302945205426,"score_spread":0.1808349097350965,"validation_status":"score_only:v0-immature-baseline","note":"Baseline scores from an immature model (maturity gate not passed). Scores rank; they never assert a category."}}