Pivot (a) Represent its moment of inertia about an axis passing through its center of mass and parallel to the axis pass- ing through its pivot point as Icm. Show that it period 27/ Lom+md² where d is the distance between the is T = mvd ---* CM d sin 0 pivot point and the center of mass. (b) Show that the period has a minimum value when d satis- fies md = Icm-. mg

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Chapter1: Units, Trigonometry. And Vectors
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Consider the physical pendulum of figure 15.17 (shown below).
Pivot
(a) Represent its moment of inertia about an axis passing
through its center of mass and parallel to the axis pass-
ing through its pivot point as Icm. Show that it period
Içm+md² where d is the distance between the
d
is T
¢ CM
mvd
d sin 0
pivot point and the center of mass.
(b) Show that the period has a minimum value when d satis-
fies md? = Iem-
mg
OCengage Leing A Righ Reserved
Transcribed Image Text:Consider the physical pendulum of figure 15.17 (shown below). Pivot (a) Represent its moment of inertia about an axis passing through its center of mass and parallel to the axis pass- ing through its pivot point as Icm. Show that it period Içm+md² where d is the distance between the d is T ¢ CM mvd d sin 0 pivot point and the center of mass. (b) Show that the period has a minimum value when d satis- fies md? = Iem- mg OCengage Leing A Righ Reserved
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