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15 December, 18:57

Vector V1-57 N at 30° above the positive x-axis. Write down the x and y-components of this vector. 5. Vector H has components H-15 N and Hy-25 N. What angle does this vector make with the x-axis?

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  1. 15 December, 20:52
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    X component of V1 = 49.36 N

    Y component of V1 = 28.5 N

    Angle is 59 degree

    Explanation:

    V1 = 57 N at 30 degree above + x axis

    X component of V1

    V1x = V1 Cos 30 = 57 x Cos 30 = 49.36 N

    V1y = V1 Sin 30 = 57 x Sin 30 = 28.5 N

    Hx = 15 N

    Hy = 25 N

    Angle made with + X axis is θ.

    Tan θ = Hy / Hx = 25 / 15 = 1.667

    θ = 59 degree
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