Reference no: EM132736138

AML 151 Engineering Mechanics

Question 1. The 70-m microwave transmission tower is steadied by three guy cables as shown in Fig. 1. Cable AB carries a tension of 12 kN. Express the corresponding force on point A
as a vector.

Question 2. The turnbuckle T is tightened until the tension in cable OA is 5 kN. Express the force F acting on point O as a vector. Determine the projection of F onto the y-axis and onto the line OB. Note that lines OB and OC lie in the x-y plane. (Refer Fig. 2.)

Question 3. The cable exerts a tension of 2 kN on the fixed bracket at A. Write the vector expression for the tension T. (Refer Fig. 3.)

 

Question 4. If the resultant force acting on the bracket is directed along the positive y-axis, determine the magnitude of the resultant force and the coordinate direction angles of F so that ? <90o. (Refer Fig. 4.)

Question 5. Two forces act on the hook shown in Fig. 5. Specify the magnitude of F2 and its coordinate angles so that the resultant force FR acts along the positive y-axis and has a magnitude of 800 N.

Question 6. The cables attached to the screw eye are subjected to the three forces shown in Fig. 6.

Express each forces in vector form and determine the magnitude and coordinate direction angles of the resultant forces.

 

Question 7. Determine the magnitude of the resultant force at A. (Refer Fig. 7.)

Question 8. The weight of the engine is 4.4 kN and is suspended from a vertical chain at A. A second chain round the engine is attached at A, with a spreader bar between B and C. The angle, θ at B and C are 50o. Determine the tension in the chain AB and Determine the compressive force acting in the spreader bar BC. (Refer Fig. 8.)

Question 9. A 100 kg traffic light is supported by a system of cables as shown in Fig. 9. Determine the tension in each of the three cables.

Question 10. If F = { 350i - 250j - 450k} N and cable AB is 9 m long, determine the x, y, z coordinated of point A. (Refer Fig. 10.)