solução 1ª lista Mec.GI 2013.1

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Transcript of solução 1ª lista Mec.GI 2013.1

2–3. If the magnitude of the resultant force is to be 9 kN directed along the positive x axis, determine the magnitude of force T acting on the eyebolt and its angle u.

2.3 = Se a intensidade da força resultante deve ser 9 KN direcionada ao longo do eixo x positivo, determine a

intensidade da força T que atua sobre a argola e o angulo ᶿ.

2–6. Resolve F2 into components along the u and v axes, and determine the magnitudes of these components.2.6 = Decomponha F2 em componentes ao longo dos eixos u e v, e detemine suas intensidades.

2–7. If Fb= 2KN and the resultant force acts along the positive u axis, determine the magnitude of the resultantforce and the angle u.2.7 =Se Fb =2 KN e a força resultante atua ao longo do eixo u positivo , determine a intensidade da força

resultante e o angulo ᶿ.

2–10. Determine the angle of ᶿ for connecting member A to the plate so that the resultant force of FA and FB

is directed horizontally to the right.Also, what is the magnitude of the resultant force?

2–19. The truck is to be towed using two ropes. If the resultant force is to be 950 N, directed along the positive xaxis, determine the magnitudes of forces FA and FB acting on each rope and the angle of FB so that the magnitude ofFB is a minimum. FA acts at 20° from the x axis as shown.

continuação2–18. The truck is to be towed using two ropes. Determine the magnitudes of forces FA and FB acting on each rope inorder to develop a resultant force of 950 N directed along the positive x axis. Set u = 50°.

2–26. The log is being towed by two tractors A and B. Determine the magnitudes of the two towing forces FA andFB if it is required that the resultant force have a magnitude FR = 10 kN and be directed along the x axis. Set u = 15°.

2–30. Three chains act on the bracket such that they create a resultant force having a magnitude of 500 lb. If two of the chains are subjected to known forces, as shown, determine the angle of the third chain measured clockwise from the positive x axis, so that the magnitude of force F in this chain is a minimum. All forces lie in the x–y plane. What is the magnitude of F? Hint: First find the resultant of the two known forces. Force F acts in this direction.

CAPITULO 3

3–2. If the 1.5-m-long cord AB can withstand a maximum force of 3500 N, determine the force BC in cord and thedistance y so that the 200-kg crate can be supported.3.2 = Se a corda AB de 1,5 m pode suportar uma força máxima de 2500 N, determine a força na corda BC e a distância y , de modo que a caixa de 200kg possa ser suportada.

3–6. The gusset plate is subjected to the forces of four members. Determine the force in member B and its properorientation for equilibrium. The forces are concurrent at point O.Take F = 12 kN.3.6 = A placa de ligação está submetida as forças de quatro menbros. Determine a força no membro B e sua

orientação correta ᶿ para o equilibrio. As forças são concorrentes no ponto 0. considere F 12KN.

3–11. The gusset plate is subjected to the forces of three members. Determine the tension force in member C and itsangle for equilibrium.The forces are concurrent at point O. Take F = 8 kN.3.11 = A placa de ligação está submetida às forças de tres membros. Determine a força de tração no membro

C e seu angulo ᶿ para o equilibrio, As forças são concorrentes no ponto 0. considere F 8KN.

continuação:3–10. The members of a truss are connected to the gusset plate. If the forces are concurrent at point O, determine themagnitudes of F and T for equilibrium.Take u = 90°.

3–19. The ball Dhas a mass of 20 kg. If a force of 100N is applied horizontally to the ring at A, determine thedimension d so that the force in cable AC is zero.

3–27. If cylinder E weighs 30 lb and ᶿ = 15°, determine the weight of cylinder F.Se o cilindro E pesa 150 N e ᶿ = 15°, determine o peso do cilindro F.