Assume that the physical pendulum in a grandfather's clock is composed of a uniformrod (mass mrod = 5M, length Lrod = 10R) pivoted at the top, with its lower endconnected to a uniform disk (mass mdisk = M, radius rdisk = R). The expressions for%3Dthe moments of inertia about the centers of mass are: /rod = (1/12) mrod Lrod and Idisk= (1/2) mdisk ľdisk. Using the parallel axis theorem for both (rod and disk), find the%3Dmoment of inertia of the system about the pivot. Report your answers in terms of Mand R.O (253/6) MR?O (259/6) MR?O (1729/6) MR?(1603/6) MR?

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Answered: Assume that the physical pendulum in a…

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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A stick of mass 15.1 kg and length 3.4 m is pinned at its center but is free to rotate (the moment of inertia of only the stick about its center equals (112)mL2). A mass of 6.9 kg is permanently fixed to one end of the stick. If you hold up the end with the mass above the horizontal so that the stick makes an angle =503 with the vertical, what is the angular acceleration of the stick right after you let it go from that angle?
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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
Assume that the physical pendulum in a grandfather's clock is composed of a uniform rod (mass mrod = 5M, length Lrod = 1OR) pivoted at the top, with its lower end connected to a uniform disk (mass maisk = M, radius rdisk = R). The expressions for the moments of inertia about the centers of mass are: Irod = (1/12) mrod Lrod² and ldisk = (1/2) maisk "disk?. 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 (259/6) MR2 O (1729/6) MR2 (253/6) MR2 O (1603/6) MR2
The wheels of a wagon can be approximated as the combination of a thin outer hoop, of radius ?h=0.209 m and mass 5.08 kg, and two thin crossed rods of mass 8.66 kg each. A farmer would like to replace his wheels with uniform disks ?d=0.0462 m thick, made out of a material with a density of 7830 kg per cubic meter. If the new wheel is to have the same moment of inertia about its center as the old wheel about its center, what should the radius of the disk be?
Compute the combined moment of the two 50-lb forces about (a) point O and (b) point A. The moment is positive if counterclockwise, negative if clockwise. Assume a = 5.5 in., b = 2.5 in., F = 50 lb. Answers: (a) Mo= (b) MA= M. lb-in. lb-in. X
A solid cylinder of mass 2 kg and radius 8 cm is mounted with its axis horizontal. A thread is wound around the circumference of the cylinder and a 200 g mass is hung on the end of the thread and released. Neglecting friction, find the angular acceleration of the cylinder and the linear acceleration of the mass.
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A suspended homogeneous rod AB of length, 75 cm and mass of 5 kg is rotating about one of its ends (A) at an angular velocity of 10.24 rad s-1. 1). Calculate the moment of inertia I of this rod. 2) What is the corresponding linear velocity of the free end, B? 3) The end B hits and sticks to a ball of radius R=12.5 cm and mass 850 g moving in the opposite direction with a linear velocity of 5.48 m.s-1. Use the principle of conservation of momentum to find the linear velocity of the ball-rod system after the collision

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