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? asked in Science & MathematicsMathematics · 9 years ago

Vectors & scalars??A crane is lifting a girder up with a force of 3000 N. Two workers help to position the gir?

1.) Find the resultant force of the following 3 forces: 800 N toward the east; 600 N toward the west; 100 N vertically up

~223.6 N [east] at 26.6° with the horizontal

~423.9 N [east] at 116.6° with the horizontal

~223.6 N [west] at 26.6° with the horizontal

~302.5 N [west] at 153.4° with the horizontal

2.) https://d2l.cbe.ab.ca/content/cbel/math/cbel06sepm...

Possible answers:

~1374.8 N [38.7°] at 21.3° upward with the horizontal

~925.4 N [38.7°] at 21.3° downward with the horizontal

~572.6 N [60°] at 30° upward with the horizontal

~1374.8 N [21.3°] at 38.7° upward with the horizontal

3.) A plane travels with an airspeed of 500 km/h toward the north and climbs at an angle of 30° with the horizontal. A horizontal wind blows toward the west at 100 km/h. Find the resultant velocity of the plane.

~586 km/h [348.9°] at 29.5° to the horizontal

~124 km/h [48.1°] at 131.9° upward with the horizontal

~124 km/h [319.4°] at 39.8° downward the horizontal

~586 km/h [29.5°] at 348.9° to the horizontal

4.) A crane is lifting a girder up with a force of 3000 N. Two workers help to position the girder by pulling on ropes attached to the girder. One worker pulls with a force of 400 N east and the other worker pulls with a force of 500 N north. Find the resultant force that acts on the girder.

~7067.6 N [78°] at 38.7° with the horizontal

~3067.6 N [38.7°] at 78° with the horizontal

~3269.6 N [138°] at 29.1° with the horizontal

~7007.4 N [39°] at 78.4° upward with the horizontal

3 Answers

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  • Anonymous
    9 years ago
    Favorite Answer

    resultant is ((200)^2+(100)^2)^1/2 = (50000)^1/2= 223.6 in the north east direction

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  • ?
    Lv 7
    9 years ago

    one at a time

    work with two vectors

    N and E

    magnitude of R1

    R1 = √( 800²+100²)

    tan theta 1 = 1/8

    theta 1 = arc tan(1/8) = 7.125 º

    component of vector R1

    R1 x = |R1| cos theta 1

    R1 y = |R1| sin theta1

    now work with R1 and vector due West 600N

    and find tan theta 2 with similar steps above.

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