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¡Descarga Solucionario Dinámica con Errores y más Esquemas y mapas conceptuales en PDF de Dinámica solo en Docsity! PROBLEMAS INTRODUCTORIOS 3.1 En una prueba de frenado, el automóvil de tracción delantera se detiene en 50 m a partir de una celeridad inicial de 95 km/h. Sabiendo que a las ruedas delante- ras puede atribuírseles el 90% de la fuerza de frenado, hallar la fuerza de frenado Ff en cada rueda delantera y la fuerza de frenado Fr en cada rueda trasera. Suponer que el vehículo, de 1200 kg, lleva una desaceleración constante. 50 m- Hallamos la v0 y vf en m/s. vn = 95 x A = 26,39 m/so 18 FQ: fuerza de frenado m = 1200 kg Usando vn7m la siguiente ecuación de la cinemática para hallar la aceleración: v;í = – 2ae ~ 2e ~ 2(50) – ' Entonces de la ley de Newton: SF^ ma =>F0 = 1200(6,96) .-. Fa = 8357,18N La fuerza de frenado de las ruedas delanteras es: 90%(F0) =»0,9×8357,18 = 7521,47 N ,-.F, = 3760N La fuerza de frenado de las ruedas traseras es: 10%(F0) =>0,1 x 8357,18- 835,75 .-.Fr = 418N 3.2 El embalaje de 50 kg se deposita poco a poco sobre el plano inclinado con una velocidad nula. Describir qué ocurre si: (a) 9 = 15° y (b) 6-10*. Resolución: Hacemos el diagrama de fuerzas que actúan sobre el cuerpo. Por la ecuación de Newton: Eje y: SFy – may – O =» N – Wcos9 = O N = Wcos9 Eje x: EFx = max=» WsenG – Ff = max WsenO – jiWcose = max mgsenO – ^mgcos9 = max ax = gsen9 – |jgcos9 Donde Ff: es la fuerza de fricción Con: n = (xe = 0T25 A e – 15a ax = 0,1 7 m/s2 Entonces el bloque empezará a resbalar con acelera- ción: ax = 0,17 m/s2 Con: li = ^c = 0,25ye = 10° La fuerza de fricción será mayor que la componente WsenO .-. El bloque no resbalará. 3.3 ¿Qué fracción n del peso del avión a reacción re- presenta el empuje neto (empuje en el morro T menos la resistencia del aire R) necesario para que el avión suba formando un ángulo 6 con la horizontal animado de una aceleración a en la dirección de vuelo -R Resolución: Hacemos el diagrama de las fuerzas que actúan sobre el avión y dibujamos sus respectivos componentes. 112 DINÁMICA • SourciOffAfítovn7m mgcosd = mg Por la ecuación de Newton: £FX = max T – R ……
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