2.9 Equilibrium in Forces

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    2.9: FORCES IN EQUILIBRIUM

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    Forces in Equilibrium

    When an object is in equilibrium, the

    resultant force acting on it is zero. The object will either be

    1. at rest

    2. move with constant velocity.

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    RESULTANT FORCEAsingle force thatrepresents the combinedeffect of two of more

    forces in magnitude anddirection.

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    Examples( Label the forces acted on the objects)

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    Addition of Forces

    Resultant force,

    F = ____ + ____

    Resultant force,

    F = ____ + ____

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    Using ruler and

    protractor,draw the twoforces F1 and F2

    from a point.

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    STEP 2

    Complete

    theparallelogr

    am

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    STEP 3

    Draw the

    diagonal of theparallelogram.The diagonalrepresent theresultant force,F in magnitudeand direction.

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    Resolution of Forces

    Aforce F can be resolved into components which

    areperpendicular to each other:(a) horizontal component , FX(b) vertical component, FY

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    Resolution of Forces

    Component of weightparallel to the plane

    = mg sin

    Component of weightnormal to the plane

    = mg cos

    Fx = F cos

    Fy

    = F sin