Mecánica - Trabajo Colaborativo

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INSTRUCCIONES:

1. Use the title page according to the given model. The student must place your order number in the top right of the cover art. The teacher will receive no different job.
2. The presentation of the work is personal, and written by computer.
3. Answer the questions in precise form and orderly manner. The score will be considered on the quality of the answer, not in base of on the amount of written text.
4. Any criteria that you assume must explain and to sustain it for it to be considered in the correction.
5. The student will take special care in spelling, writing and presentation of your work. Print the words clearly and legibly. These aspects are part of the rating.
6. In their results, you must calculate and write with 4 decimal truncated

1. Utilice la página del título de acuerdo con el modelo dado. El estudiante tiene que colocar su número de orden en la parte superior derecha de la portada. El maestro recibirá ningún trabajo diferente.
2. La presentación de la obra es personal, y escrita por ordenador.
3. Responda a las preguntas en forma precisa y de manera ordenada. La puntuación será considerada en la calidad de la respuesta, no en base a la cantidad de texto escrito.
4. Cualquier criterio que usted asume deben explicar y sostenerlo para que sea considerado en la corrección.
5. El estudiante tendrá especial cuidado en la ortografía, redacción y presentación de su trabajo. Imprima las palabras con claridad y de forma legible. Estos aspectos forman parte de la calificación.
6. En sus resultados, debe calcular y escribir con 4 decimales truncados

1. The cable stays AB help support pole AC. Knowing that the tension is 120lb in AB and 40lb in AD, determine graphically the magnitude and direction of the resultant of the forces exerted by the stays at A using (a) the parallelogram law. (b) the triangle rule.

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1. The vertical force P of magnitude 100KN is applied to the frame shown in Fig. (a). Resolve P into components that are parallel to the members AB and AC of the truss.

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Solución.-

Aplicando Ley de cosenos:

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Luego por la ley de senos y considerando que: [pic 22]

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1. If the resultant force is required to act along the positive u axis and have a magnitude of 5KN. Determine the required magnitude of FB and its direction θ

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SOLUCIÓN.-

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1. Two forces = and Q are applied as shown to an aircraft connection. Knowing that the connection is in equilibrium and that the magnitudes of the forces exerted on rods A and B are FA = 750lb and FB = 400lb, determine the magnitudes of P and Q.

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SOLUCIÓN.-

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Del  DCL mostrado

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1. A 160-kg load is supported by the rope-and-pulley arrangement shown. Knowing that β = 20°, determine the magnitude and direction of the force P, that must be exerted on the free end of the rope to maintain equilibrium. (Hint: the tension in the rope is the same on each side of a simple pulley.

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SOLUCIÓN.-[pic 33]

Realizando el diagrama de cuerpo libre

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1. Determine (a) the x, y, and z components of the 750 N force, (b) the angles θx, θy, and θz that the force forms with the coordinate axes.

And finally, determine the resultant force.

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•                Para la fuerza F=750[pic 57][pic 58]

•               Para la fuerza F=900[pic 59]

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1. A rifle at A is fired at a target B. If the speed of the bullet is 1800 ft/s, determine the rectangular form of the velocity vector v.

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SOLUCIÓN.-

1. The vertical post is secured by three cables. The cables are pre-tensioned so that the resultant of the cable forces F, Q, and P is directed along the z-axis- If F = 120 lb, find P and Q.

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1. Resolve the force F = 20i + 30j + 50k lb Into two components – one perpendicular to plane ABC and the other lying in plane ABC.

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1. The end of the coaxial cable AE is attached to the pole AB, which is strengthened by the guy wires AC and AD. Knowing that the tension in wire AC is 120lb, determine (a) the components of the force exerted by this wire on the pole, (b) the angles θx, θy, and θz that the force forms with the coordinate axes.

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SOLUCIÓN.-

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1. A horizontal circular plate is suspended as shown from three wires that are attached to a support at D and form 30° angles with the vertical. Knowing that the tension wire CD is 60lb, determine (a) the components of the force exerted by this wire on the plate (b) the angles θx, θy, and θz that the force forms with the coordinate axes.

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SOLUCIÓN.-

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1. The trapdoor is held in the horizontal plane by two wires. Replace the forces in the wires with an equivalent force R that passes through point A, and determine the y-coordinate of point A.

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SOLUCIÓN

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1. Replace the three forces acting on the guy wires by a single, equivalent force acting on the flagpole. Use T1= 200lb, T2 = 400lb, and T3 = 350lb.

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SOLUCIÓN.- 

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