magnitude F have a resultant of the same magnitude F. The angle between the two forces is: 45 degree 120 degre

Question

magnitude F have a
resultant of the
same magnitude F.
The angle between
the two forces is:
45 degree
120 degree
150 degree
180 degree​

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Nem 5 months 2021-08-30T13:37:05+00:00 1 Answers 0 views 0

Answers ( )

    0
    2021-08-30T13:38:37+00:00

    Answer:

    120°

    Explanation:

    Given forces with magnitude F and F

    Applying the parallelogram law of vector

    Where resultant is given as :

    R = √(A^2 + B^2 + 2ABCos Ф

    WHERE A and B are two forces with angle Ф

    F =√(F^2 + F^2 + 2F * F Cos Ф

    Square both sides

    F^2 = F^2 + F^2 + 2F^2 CosФ

    F^2 – 2F^2 = 2F^2 CosФ

    – F^2 = 2F^2 Cos Ф

    Divide both sides by 2F^2

    – 1 / 2 = CosФ

    Cosine(theta) = – 1/2

    Ф = cosi^-1 (-1/2)

    Ф = 120°

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