A tower shown in the figure is supported by AB and AC cables. A worker of the tower A 12m long rigid rope ties to point A (| AE | = 12m) and applies a constant force of 120N to the rope. The angle between the tower and the AE rope is 30 °. The pull of cables and rope applied to point A knowing that the sum (composition) of the forces is in the downward direction (along the y-axis) (point O is the origin); 1) Write the coordinates of the A point. 2) Write the coordinates of the B point. 3) Write the coordinates of the C point.
A tower shown in the figure is supported by AB and AC cables. A worker of the tower A 12m long rigid rope ties to point A (| AE | = 12m) and applies a constant force of 120N to the rope. The angle between the tower and the AE rope is 30 °. The pull of cables and rope applied to point A knowing that the sum (composition) of the forces is in the downward direction (along the y-axis) (point O is the origin);
1) Write the coordinates of the A point.
2) Write the coordinates of the B point.
3) Write the coordinates of the C point.
4) Write the unit
5) Write the unit vector () of the force in the AC cable.
6) Write the unit vector () of the force in the string AE in terms of θ.
7) What should be the angle θ if the pulling forces in the AB and AC cable are to be equal? 8) If the maximum pulling force in the AB cable is desired, calculate the angle provided that 0 ° <? <180 °.
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