An object is to be moved vertically upward by a crane. As the crane cannot get directly above the object, three ropes are attached to guide the object. One rope is pulled parallel to the ground with a force of 105 newtons in a direction 30° north of east. The second rope is pulled parallel to the ground with a force of 75 newtons in a direction 80° south of east. (a) If the crane is attached to the third rope and can pull with a total force of 1500 newtons, find the force vector for the crane. Assume vector 7 points east, vector points north, and vector points vertically up. Round your answers to two decimal places. Use the drop-down menus to indicate if the second and third terms are negative and enter a positive number in both answer areas. F₁ = i 1603.79 1478.64 0

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Chapter1: Units, Trigonometry. And Vectors
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An object is to be moved vertically upward by a crane. As the crane cannot get directly above the object, three ropes are attached to
guide the object. One rope is pulled parallel to the ground with a force of 105 newtons in a direction 30° north of east. The second rope
is pulled parallel to the ground with a force of 75 newtons in a direction 80° south of east.
(a) If the crane is attached to the third rope and can pull with a total force of 1500 newtons, find the force vector for the crane. Assume
vector 7 points east, vector points north, and vector points vertically up.
Round your answers to two decimal places.
Use the drop-down menus to indicate if the second and third terms are negative and enter a positive number in both answer areas.
F₁ =
i
1603.79
1478.64
0
Transcribed Image Text:An object is to be moved vertically upward by a crane. As the crane cannot get directly above the object, three ropes are attached to guide the object. One rope is pulled parallel to the ground with a force of 105 newtons in a direction 30° north of east. The second rope is pulled parallel to the ground with a force of 75 newtons in a direction 80° south of east. (a) If the crane is attached to the third rope and can pull with a total force of 1500 newtons, find the force vector for the crane. Assume vector 7 points east, vector points north, and vector points vertically up. Round your answers to two decimal places. Use the drop-down menus to indicate if the second and third terms are negative and enter a positive number in both answer areas. F₁ = i 1603.79 1478.64 0
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