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engineering mechanics question ?? help please !!!?

let there be a point B on X axis such that OB=6 and a point A on Y axis such that OA = 3. The moment of a certain force F is 180 N-m clockwise about O and 90 N-m counterclockwise about B. If the moment about A is zero ,determine the force.

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  • kasab
    Lv 7
    8 years ago
    Favorite Answer

    I just give you a push and leave you to struggle with two simultaneous equations with two variables.

    The force (F) passes through point (A) ( since the moment about A is zero ) downward making an angle θ with the Y-axis.

    Do a sketch for the set up.

    Moment abut O:

    3*F*sin(θ) =180 N-m .......(1)

    Moment abut B:

    F*(6 - 3*tan(θ) * cos(θ) = 90 N-m

    F*(6*cos(θ) -3*sin(θ)) = 90 N-m .......(2)

    Now I leave with the above equations to solve for F.

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