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Lect 5 Moments Couples

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    - Moment of a vector

    - Force couples

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    1.) product of force by moment arm

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    2.) replace force by rectangular components

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    Using Law of Transmissibility

    d1 = 4 + 2Tan40o

    d1 = 2 + 4 cot40o

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    3.) By cross product

    Vector expression for a moment

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    COUPLE

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    Moment of a couple

    Moment produced by 2 equal and oppositeforces is known as a couple.

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    Moment of a couple

    moment of couple about any point of reference 0.

    cross product: M = r x F

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    Moment of a couple

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    Force-couple systems

    resolution of a force into a force and a couple

    equal external effect.

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    Example

    The indicated force-couple system is applied to a small shaft

    at the center of a rectangular plate. Replace this system by asingle force and specify the coordinate of the point on the y-

    axis through which the line of action of this resultant forcepasses

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