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    parallel axis theorem

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    تاريخ التسجيل : 05/04/2008

    m15 parallel axis theorem

    مُساهمة من طرف teacher في الثلاثاء 15 يوليو 2008, 12:58 am

    Parallel-Axis Theorem

    Now, let's compute the MOI of a uniform circular column. Circular bar can be regarded as a cascade of circular discs as shown in Figure 5. From [13]:
    Figure 5
    [15]
    since
    [16]
    where mdisc = mass of the circular disc, and Iy'y'(disc) = the MOI of the disc about the Y' axis. [16] basically says that the MOI of a circular plate about the Y axis is equal to the sum of the MOI about the parallel axis on the disc (Y') and the mass of the disc times square of the distance between the two axes. This is the so-called parallel-axis theorem.
    The MOI of the circular column is therefore
    [17]
    since
    [18]
    Comparing [18] with [2], one can clearly see the difference in the MOI between a thin rod and a thick rod (circular column). Similarly, [13] and [17] shows the difference in the MOI between a circular disc and a thick circular plate (circular column).
    santa


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      الوقت/التاريخ الآن هو السبت 19 يناير 2019, 11:58 am