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two forces 20N each are inclined at 100 degree to each other.find the single force that will; replace the given force system balance the given force system

  • physics -

    α =(360⁰ - 2•100⁰)/2=80⁰

    F12=sqrt{F1²+F2²-2•F1•F2•cosα}=
    =sqrt{400+400-2•20•20•cos80⁰}=25.71 N
    Direction:
    F1 is directed along the positive X-axis ,and F2 is 100⁰ measured from
    the positive X- axis with the counter-clockwise, F is 230⁰measured from
    the positive X- axis with the counter-clockwise

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