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Math Help - Maths M1 Mechanics RESOLVING FORCES

  1. #1
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    Maths M1 Mechanics RESOLVING FORCES

    Please can someone help me on this question:

    Two forces of magnitude 5N and 6N act on the point 0. The angle between the two forces is X

    The resultant of the two forces has magnitude 5N.

    Calculate the value of X.

    Many thanks,
    languages
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  2. #2
    MHF Contributor
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    Quote Originally Posted by languages View Post
    Please can someone help me on this question:

    Two forces of magnitude 5N and 6N act on the point 0. The angle between the two forces is X

    The resultant of the two forces has magnitude 5N.

    Calculate the value of X.

    Many thanks,
    languages
    This is basic law of cosines: c^2 = a^2 + b^2 - 2ab \cos C

    so you have

    5^2 = 5^2 + 6^2 - 2(5)(6) \cos C

    0 = 36 - 60 \cos C

    60 \cos C = 36

    \cos C = \frac{36}{60}

    \cos C = \frac{3}{5}
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  3. #3
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    Many thanks iceman fan!
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