find the angle between two forces of magnitude 27N and 30N if the magnitude of the resultant of the two force is 8N​

Question

find the angle between two forces of magnitude 27N and 30N if the magnitude of the resultant of the two force is 8N​

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Doris 5 years 2021-08-30T17:09:35+00:00 1 Answers 10 views 0

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  1. RuslanHeatt
    0
    2021-08-30T17:11:13+00:00
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    Answer:

    The angle between two forces is 165 degrees.

    Explanation:

    We have,

    Force 1, F_1=27\ N

    Force 2, F_2=30\ N

    Resultant of two forces, F = 8 N

    It is required to find the angle between two forces. The resultant of two force is given by the formula as follows :

    F=\sqrt{F_1^2+F_2^2+2F_1F_2\cos\theta}

    \theta is the angle between F₁ and F₂

    So,

    F^2=F_1^2+F_2^2+2F_1F_2\cos\theta\\\\\cos\theta=\dfrac{F^2-F_1^2-F_2^2}{2F_1F_2}\\\\\cos\theta=\dfrac{(8)^2-(27)^2-(30)^2}{2\times 27\times 30}\\\\\cos\theta=-0.966\\\\\theta=\cos^{-1}\left(-0.966\right)=165^{\circ}

    So, the angle between two forces is 165 degrees.

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Giải phương trình 1 ẩn: x + 2 - 2(x + 1) = -x . Hỏi x = ? ( )