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17 August, 01:18

The horizontal component of force acting at an angle of 30 degree with the horizontal is 100N. Find the magnitude of the force and its vertical component.

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  1. 17 August, 01:42
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    Using trigonometry:

    cos θ = Fx / F

    cos 30 = 100 / F

    F = 115.47

    tan θ = Fy / Fx

    tan 30 = Fy / 100

    Fy = 57.74

    The magnitude is 115.47 N and the vertical component is 57.74 N. Round as needed.
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