Quiz — 6753222b4edfd_énoncé_Mouvement sinusoïdal.pdf

Question 1 sur 10 20:00

[{"id":10853,"question":"Quelle est l'équation générale d'un mouvement sinusoïdal ?","option_a":"x(t) = A + B·sin(ωt)","option_b":"x(t) = A·sin(ωt + φ)","option_c":"x(t) = A·cos(ωt) + B","option_d":"x(t) = A·sin(ωt)","option_e":"","option_f":"","bonne_reponse":"b","explication":"L'équation standard d'un mouvement sinusoïdal est x(t) = A·sin(ωt + φ), où A est l'amplitude, ω la pulsation et φ la phase à l'origine.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0,"_debug_answer_data_type":"string","_debug_answer_data_preview":"{\"correct\": \"b\", \"options\": {\"a\": \"x(t) = A + B·sin(ωt)\", \"b\": \"x(t) = A·sin(ωt + φ)\", \"c\": \"x(","_debug_options_count":4},{"id":10854,"question":"La période T d'un mouvement sinusoïdal est toujours égale à 2π.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"b","explication":"La période T est liée à la pulsation ω par la relation T = 2π\/ω. Elle n'est pas toujours égale à 2π.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0,"_debug_answer_data_type":"string","_debug_answer_data_preview":"{\"correct\": \"b\", \"options\": {\"a\": \"Vrai\", \"b\": \"Faux\", \"c\": \"\", \"d\": \"\"}}","_debug_options_count":4},{"id":10855,"question":"Quelle grandeur physique est représentée par l'amplitude A dans un mouvement sinusoïdal ?","option_a":"La vitesse maximale","option_b":"La position maximale","option_c":"L'accélération maximale","option_d":"La fréquence","option_e":"","option_f":"","bonne_reponse":"b","explication":"L'amplitude A représente la position maximale atteinte par l'objet en mouvement sinusoïdal.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0,"_debug_answer_data_type":"string","_debug_answer_data_preview":"{\"correct\": \"b\", \"options\": {\"a\": \"La vitesse maximale\", \"b\": \"La position maximale\", \"c\": \"L'accél","_debug_options_count":4},{"id":10856,"question":"Si la fréquence d'un mouvement sinusoïdal est de 50 Hz, quelle est sa période ?","option_a":"0,02 s","option_b":"0,2 s","option_c":"2 s","option_d":"50 s","option_e":"","option_f":"","bonne_reponse":"a","explication":"La période T est l'inverse de la fréquence : T = 1\/f = 1\/50 = 0,02 s.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0,"_debug_answer_data_type":"string","_debug_answer_data_preview":"{\"correct\": \"a\", \"options\": {\"a\": \"0,02 s\", \"b\": \"0,2 s\", \"c\": \"2 s\", \"d\": \"50 s\"}}","_debug_options_count":4},{"id":10857,"question":"Un mouvement sinusoïdal peut-il avoir une amplitude négative ?","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"a","explication":"L'amplitude est une grandeur positive représentant la valeur maximale de l'élongation. Une amplitude négative n'a pas de sens physique.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0,"_debug_answer_data_type":"string","_debug_answer_data_preview":"{\"correct\": \"a\", \"options\": {\"a\": \"Vrai\", \"b\": \"Faux\", \"c\": \"\", \"d\": \"\"}}","_debug_options_count":4},{"id":10858,"question":"Quelle relation lie la pulsation ω à la fréquence f ?","option_a":"ω = 2πf","option_b":"ω = f\/2π","option_c":"ω = 2π\/f","option_d":"ω = πf","option_e":"","option_f":"","bonne_reponse":"a","explication":"La pulsation ω est liée à la fréquence f par la relation ω = 2πf.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0,"_debug_answer_data_type":"string","_debug_answer_data_preview":"{\"correct\": \"a\", \"options\": {\"a\": \"ω = 2πf\", \"b\": \"ω = f\/2π\", \"c\": \"ω = 2π\/f\", \"d\": \"ω = πf\"","_debug_options_count":4},{"id":10859,"question":"Dans un mouvement sinusoïdal, la vitesse est maximale lorsque l'élongation est :","option_a":"Nulle","option_b":"Maximale","option_c":"Négative","option_d":"Constante","option_e":"","option_f":"","bonne_reponse":"a","explication":"La vitesse est maximale lorsque l'élongation est nulle, car la dérivée de la position (vitesse) est maximale à ce point.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0,"_debug_answer_data_type":"string","_debug_answer_data_preview":"{\"correct\": \"a\", \"options\": {\"a\": \"Nulle\", \"b\": \"Maximale\", \"c\": \"Négative\", \"d\": \"Constante\"}}","_debug_options_count":4},{"id":10860,"question":"Un pendule simple effectue un mouvement sinusoïdal si son amplitude est faible.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"a","explication":"Pour de faibles amplitudes, le mouvement d'un pendule simple peut être approximé comme sinusoïdal, car l'équation du mouvement devient linéaire.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0,"_debug_answer_data_type":"string","_debug_answer_data_preview":"{\"correct\": \"a\", \"options\": {\"a\": \"Vrai\", \"b\": \"Faux\", \"c\": \"\", \"d\": \"\"}}","_debug_options_count":4},{"id":10861,"question":"Quelle est la valeur de la phase à l'origine φ si x(0) = A\/2 ?","option_a":"φ = π\/6","option_b":"φ = π\/3","option_c":"φ = π\/2","option_d":"φ = π","option_e":"","option_f":"","bonne_reponse":"b","explication":"Si x(0) = A\/2, alors sin(φ) = 1\/2, ce qui donne φ = π\/6 ou 5π\/6. La valeur la plus courante est φ = π\/6.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0,"_debug_answer_data_type":"string","_debug_answer_data_preview":"{\"correct\": \"b\", \"options\": {\"a\": \"φ = π\/6\", \"b\": \"φ = π\/3\", \"c\": \"φ = π\/2\", \"d\": \"φ = π\"}}","_debug_options_count":4},{"id":10862,"question":"La fréquence d'un mouvement sinusoïdal dépend de l'amplitude.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"b","explication":"La fréquence d'un mouvement sinusoïdal dépend uniquement de la pulsation ω et non de l'amplitude A.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0,"_debug_answer_data_type":"string","_debug_answer_data_preview":"{\"correct\": \"b\", \"options\": {\"a\": \"Vrai\", \"b\": \"Faux\", \"c\": \"\", \"d\": \"\"}}","_debug_options_count":4}]