[{"data":1,"prerenderedAt":152},["ShallowReactive",2],{"\u002Fpublic\u002Ftopics\u002Frazonamiento-matematico\u002Fpoleas-y-engranajes?{}":3,"topics-with-content:razonamiento-matematico":110},{"course":4,"topic":12,"counts":17,"universities":22,"channels":30,"sampleQuestions":55,"sameName":109},{"id":5,"slug":6,"name":7,"shortName":8,"area":9,"icon":10,"sortOrder":11},17,"razonamiento-matematico","Razonamiento Matemático","R. Mat.","reasoning","i-lucide-puzzle",16,{"id":13,"courseId":5,"slug":14,"name":15,"sortOrder":16},1728,"poleas-y-engranajes","Poleas y engranajes",27,{"topicId":13,"courseId":5,"questions":18,"classes":19,"videos":20,"minutes":21},5,62,52,987,[23],{"universityId":24,"questions":18,"years":25},1,[26,27,28,29],2025,2024,2023,2022,[31,34,37,40,42,44,47,49,51,53],{"name":32,"classes":33},"Alberto Cruz",26,{"name":35,"classes":36},"Academia Grupo Ciencias",10,{"name":38,"classes":39},"Academia ipluton",7,{"name":41,"classes":39},"Ciclo Uni-San Marcos",{"name":43,"classes":18},"Salón Sapiens",{"name":45,"classes":46},"Academias Aduni y César Vallejo",3,{"name":48,"classes":24},"Academia_Pitagoras",{"name":50,"classes":24},"CEPRE UNMSM",{"name":52,"classes":24},"META VILLARREAL",{"name":54,"classes":24},"Trilce Multimedia",[56,87],{"id":57,"courseId":5,"topicId":13,"pastExamId":58,"stem":59,"figures":60,"options":66,"correctKey":77,"explanation":82,"difficulty":46,"status":83,"source":84,"stats":85},4726,243,"La figura muestra un sistema compuesto por los engranajes $A$ y $B$, y las poleas $C$ y $M$. Además, se sabe lo siguiente:\n• Los engranajes $A$ y $B$ tienen 16 y 30 dientes, respectivamente.\n• La medida de los radios de las poleas $C$ y $M$ son 8 y 16 cm, respectivamente.\n• El engranaje $B$ y la polea $C$ tienen un eje en común.\nSi el engranaje $A$ gira 120 vueltas en 2 minutos, halle el número de vueltas que la polea $M$ dará en un minuto.\n{{figura_1}}",[61],{"marker":62,"src":63,"width":64,"height":65},"{{figura_1}}","\u002Ffiles\u002Fq\u002F01b2bccf57c77ded0a3c.webp",517,210,[67,70,73,76,79],{"key":68,"text":69},"A","10",{"key":71,"text":72},"B","18",{"key":74,"text":75},"C","14",{"key":77,"text":78},"D","16",{"key":80,"text":81},"E","12","","published","UNMSM 2025-I · Área A · Ciencias de la Salud",{"attempts":86,"accuracy":86},0,{"id":88,"courseId":5,"topicId":13,"pastExamId":89,"stem":90,"figures":91,"options":96,"correctKey":68,"explanation":82,"difficulty":46,"status":83,"source":107,"stats":108},3447,224,"En el sistema que se muestra, los radios de las poleas $A$, $B$ y $C$ miden, respectivamente, 12 cm, 12 cm y 8 cm. Los bloques rectangulares $Q$ y $R$ son congruentes, y sus centros se encuentran, inicialmente, a igual distancia del piso. Si el bloque $Q$ sube una longitud de $6\\pi$ cm en el sentido indicado en la figura, ¿cuál es la diferencia de alturas entre los centros de los bloques $Q$ y $R$ respecto del piso?\n{{figura_1}}",[92],{"marker":62,"src":93,"width":94,"height":95},"\u002Ffiles\u002Fq\u002F94b150680e15d4d58294.webp",505,343,[97,99,101,103,105],{"key":68,"text":98},"$10\\pi$ cm",{"key":71,"text":100},"$9\\pi$ cm",{"key":74,"text":102},"$8\\pi$ cm",{"key":77,"text":104},"$12\\pi$ cm",{"key":80,"text":106},"$11\\pi$ cm","UNMSM 2024-II · Medicina Humana",{"attempts":86,"accuracy":86},[],[111,112,113,114,115,116,117,118,119,120,121,122,123,124,125,126,127,128,129,130,131,132,133,134,135,136,137,13,138,139,140,141,142,143,144,145,146,147,148,149,150,151],1701,1702,1703,1704,1705,1706,1707,1708,1709,1710,1711,1712,1713,1714,1715,1716,1717,1718,1719,1720,1721,1722,1723,1724,1725,1726,1727,1729,1730,1731,1732,1733,1734,1735,1736,1737,1738,1739,1740,1741,1742,1791501536234]