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    perpindecular axis theorem

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    تاريخ التسجيل : 05/04/2008

    m14 perpindecular axis theorem

    مُساهمة من طرف teacher في الثلاثاء 15 يوليو 2008, 12:54 am

    Now, let's go back to the uniform circular disc (Figure 3). The moment of inertia of a uniform circular disc about its perpendicular axis (Z axis) can be expressed as
    [10]
    since
    [11]
    In other words, the MOI about the Z axis is equal to sum of those about the X and Y axes. [10] is true for any rigid lamina: the MOI of any rigid lamina about an axis normal to the lamina plane is equal to the sum of the MOIs about any two perpendicular axes lying on the plane and passing through the normal axis. This is the so-called perpendicular-axis theorem.
    Since the circular disc has symmetric shape,
    [12]
    and, from [6]:
    [13]
    One can directly obtain [13] from [11] or
    [14]
    [2] can be used in further developing [14] to obtain [13]. See BSP Equations for this approach.


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