FISICA 1
EJERCICIOS RESUELTOS
AUTORES: MENDEZ LAZARO, Willy
DOCENTE:
N° de clase: 1217
Fecha: 14-06-18
HUERTAS QUIROZ, Eduardo Marcelo
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EJERCICIOS RESUELTOS
ENERGÍA, TRABAJO Y POTENCIA 1) Si el motor ejerce una fuerza constante de 300 N en el cable, determine la rapidez del embalaje
de 20 kg cuando recorre 10 m hacia arriba del plano, a partir del punto de reposo. El coeficiente de fricción cinética entre el embalaje y el plano es μk = 0.3.
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EJERCICIOS RESUELTOS
2) El embalaje, cuya masa es de 100 kg, se somete a la acción de las dos fuerzas. Si originalmente está en reposo, determine la distancia que se desliza para alcanzar una rapidez de 6 m/s. El coeficiente de fricción cinética entre el embalaje y la superficie es μk = 0.2.
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EJERCICIOS RESUELTOS
3) Un bloque de 2 lb descansa sobre una superficie semicilíndrica. Una cuerda elástica que tiene una rigidez k = 2 lb/pie está atada al bloque en B y a la base del semicilindro en el punto C. Si se suelta el bloque del punto de reposo en A (θ = 0°), determine la longitud no alargada de la cuerda de modo que el bloque comience a separarse del semicilindro en el instante θ = 45°. Ignore el tamaño del bloque.
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EJERCICIOS RESUELTOS
4) El resorte se coloca entre la pared y el bloque de 10 kg. Si éste se somete a una fuerza F = 500 N, determine su velocidad cuando s = 0.5 m . Cuando s = 0, el bloque está en reposo y el resorte no está comprimido. La superficie de contacto es lisa.
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EJERCICIOS RESUELTOS
5) Cuando el conductor aplica los frenos de una camioneta que viaja a 10 km/h, ésta se desliza 3 m antes de detenerse. ¿Qué distancia patina la camioneta si su velocidad es de 80 km/h cuando se aplican los frenos?
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EJERCICIOS RESUELTOS
6) El collar tiene una masa de 20 kg y descansa sobre una barra lisa. Dos resortes están unidos al collar y a los extremos de la barra como se muestra en la imagen. Cada resorte tiene una longitud sin deformar de 1 m. Si el collar se desplaza s = 0.5 my se libera desde el reposo, determine su velocidad en el instante en que retorna al punto s = 0.
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EJERCICIOS RESUELTOS
7) Si se va a diseñar la pista de modo que los pasajeros de la montaña rusa no experimenten una fuerza normal igual a cero o más de 4 veces su peso, determine las alturas limitantes h A y hC de modo que esto no ocurra. La montaña rusa parte del punto de reposo en la posición A. Ignore la fricción.
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EJERCICIOS RESUELTOS
8) Paquetes que pesan 50 lb llegan al tobogán a v A = 3 pies/s por medio de una banda transportadora. Determine su rapidez cuando llegan a los puntos B, C y D. Además, calcule la fuerza normal del tobogán en los paquetes en B y C. Ignore la fricción y el tamaño de los paquetes.
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EJERCICIOS RESUELTOS
CONSERVACIÓN DE LA ENERGÍA 1. El péndulo de 2 kg se suelta del punto de reposo cuando está en A. Determine la rapidez y la tensión en la cuerda cuando pasa por su posición más baja B.
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EJERCICIOS RESUELTOS
2. La masa del carro de la montaña rusa incluido su pasajero es m. D etermine la velocidad mínima que debe tener cuando entra en el rizo por A de modo que pueda completarlo y no pierda el contacto con la vía. Además, determine la fuerza normal que los rieles ejercen en el carro cuando está a punt o de salir del rizo en C. C . El radio de curvatura de la vía en B es ρB y en C es ρC. Los puntos A y C están a la misma altura.
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EJERCICIOS RESUELTOS
3. El collarín de 5 lb se suelta del punto de reposo en A y se desliza a lo largo de la guía libre de fricción. Determine la rapidez del collarín cuando choca con el tope B. La longitud no alargada del resorte es de 0.5 pie.
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EJERCICIOS RESUELTOS
4. El collarín C de 4 kg tiene una velocidad de vA = 2 m/s cuando e stá en A. Si la barra guía es lisa, determine la rapidez del collarín cuando está en B. La longitud no alargada del resorte es 0.2 m.
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EJERCICIOS RESUELTOS
5. Una varilla circular delgada se mantiene e n un plano vertical mediante una brida en A. Unido a la brida y enrollado holgadamente alrededor de la varilla está un resorte de constante k = 3 lb/ft y longitud no deformada igual al arco de círculo AB. Un collarín C de 0.5 lb, que no está unido al resorte, puede deslizarse sin fricción a lo largo de la varilla. Si se sabe que el collarín se suelta desde el reposo cuando θ = 30°, determine a) la altura máxima sobre el punto B que alcanza el collarín, b) la rapidez máxima del collarín.
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EJERCICIOS RESUELTOS
6. La masa del carro de la montaña rusa incluido su pasajero es de 800 kg. Si arranca del reposo en la cima de la cuesta A, determine la altura mínima h de la cuesta de modo que el carro complete los dos rizos sin que pierda el contacto con la vía. Ignore la fricción, la masa de las ruedas y el tamaño del carro. ¿Cuál es la reacción normal en el carro cuando está en B y en C?
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EJERCICIOS RESUELTOS
7. Un hombre de 75 kg realiza un salto elástico desde A con una rapidez inicial de caída de 1.5 m/s. Determine la longitud no alargada de la banda elástica a la cual está sujeto para que se detenga momentáneamente justo sobre la superficie del agua. La rigidez de la banda elástica es k = 3 kN/m. I gnore la estatura del hombre.
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EJERCICIOS RESUELTOS
8. El paquete de 2 kg deja la banda transportadora en A con una rapidez de vA = 1 m/s y se desliza hacia la parte inferior de la rampa. Determine la rapidez requerida de la banda transportadora en B de modo que el paquete puede ser entregado sin que r esbale en la banda.