Assume that the physical pendulum in a grandfather's clock is composed of a uniform rod (mass mrod = 5M, length Lrod = 10R) pivoted at the top, with its lower end connected to a uniform disk (mass mdisk = M, radius rdisk = R). The expressions for the moments of inertia about the centers of mass are: Irod = (1/12) mod Lrod² and laisk = (1/2) mdisk rdisk?. Using the parallel axis theorem for both (rod and disk), find the moment of inertia of the system about the pivot. Report your answers in terms of M and R. O (1729/6) MR² O (259/6) MR² O (1603/6) MR2 O (253/6) MR²
Assume that the physical pendulum in a grandfather's clock is composed of a uniform rod (mass mrod = 5M, length Lrod = 10R) pivoted at the top, with its lower end connected to a uniform disk (mass mdisk = M, radius rdisk = R). The expressions for the moments of inertia about the centers of mass are: Irod = (1/12) mod Lrod² and laisk = (1/2) mdisk rdisk?. Using the parallel axis theorem for both (rod and disk), find the moment of inertia of the system about the pivot. Report your answers in terms of M and R. O (1729/6) MR² O (259/6) MR² O (1603/6) MR2 O (253/6) MR²
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Transcribed Image Text:Assume that the physical pendulum in a grandfather's clock is composed of a uniform rod (mass mrod = 5M, length Lrod = 10R) pivoted at the top, with its lower end
connected to a uniform disk (mass mdisk = M, radius rdisk = R). The expressions for the moments of inertia about the centers of mass are: Irod = (1/12) mrod Lrod and Idisk =
(1/2) mdisk rdisk?. Using the parallel axis theorem for both (rod and disk), find the moment of inertia of the system about the pivot. Report your answers in terms of Mand R.
O (1729/6) MR?
O (259/6) MR²
O (1603/6) MR2
O (253/6) MR²
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