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    MOMENT OF INERTIA

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    m15 MOMENT OF INERTIA

    مُساهمة من طرف teacher في الثلاثاء 17 يونيو 2008, 11:07 pm

    Moment of Inertia of a Systems of Particles

    Newton's first law of motion says "A body maintains the current state of motion unless acted upon by an external force." The measure of the inertia in the linear motion is the mass of the system and its angular counterpart is the so-called moment of inertia. The moment of inertia of a body is not only related to its mass but also the distribution of the mass throughout the body. So two bodies of the same mass may possess different moments of inertia.
    A rigid body can be considered as a system of particles in which the relative positions of the particles do not change. The moment of inertia of a single particle (I) can be expressed as
    [1]
    where m = the mass of the particle, and r = the shortest distance from the axis of rotation to the particle (Figure 1).
    Figure 1
    As shown in [1], moment of inertia is equal to mass times square of the distance and it is also referred to as the second mass moment. Mass times distance, mr, is called as the first mass moment. This concept of first mass moment is normally used in deriving the center of mass of a system of particles or a rigid body. See Center of Mass-System of Particles for the details.
    Expanding [1] for a system of particles:
    [2]


    lol!


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    m15 رد: MOMENT OF INERTIA

    مُساهمة من طرف Asmaa Mahmoud في الإثنين 21 يوليو 2008, 10:27 pm

    thank's alot shady
    moment of inertia is very hard subjct to more persons
    thank's


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      الوقت/التاريخ الآن هو السبت 19 يناير 2019, 12:48 pm