For the following parts of this problem, use the parallel axis theorem: a. Suppose a uniform slender rod has length L and mass M. The moment of inertia of the rod about an axis that is perpendicular to the rod and that passes through its center of mass is given by IcM =ml?. Find the moment of inertia through the end of the rod. b. Suppose you have a uniform cube of mass m with edges of length a. The moment of inertia above an axis through its center of mass and perpendicular to one of its faces is given by IcM =ma?. Find the moment of inertia through its edge (see figure below). р-ахis Figure 2. Cube rotating along an edge.
For the following parts of this problem, use the parallel axis theorem: a. Suppose a uniform slender rod has length L and mass M. The moment of inertia of the rod about an axis that is perpendicular to the rod and that passes through its center of mass is given by IcM =ml?. Find the moment of inertia through the end of the rod. b. Suppose you have a uniform cube of mass m with edges of length a. The moment of inertia above an axis through its center of mass and perpendicular to one of its faces is given by IcM =ma?. Find the moment of inertia through its edge (see figure below). р-ахis Figure 2. Cube rotating along an edge.
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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![For the following parts of this problem, use the parallel axis theorem:
a. Suppose a uniform slender rod has length L and mass M. The moment of inertia of the
rod about an axis that is perpendicular to the rod and that passes through its center of
mass is given by Icm =ml?. Find the moment of inertia through the end of the rod.
12
b. Suppose you have a uniform cube of mass m with edges of length a. The moment of
inertia above an axis through its center of mass and perpendicular to one of its faces is
given by ICM =ma?. Find the moment of inertia through its edge (see figure below).
%3D
р-аxis
Figure 2. Cube rotating along an edge.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F5643f6a4-a7a4-4b03-93d4-ff1f1b43abe4%2F2b059709-ed14-4dbc-a086-debef0cc3454%2Fedxmk1_processed.png&w=3840&q=75)
Transcribed Image Text:For the following parts of this problem, use the parallel axis theorem:
a. Suppose a uniform slender rod has length L and mass M. The moment of inertia of the
rod about an axis that is perpendicular to the rod and that passes through its center of
mass is given by Icm =ml?. Find the moment of inertia through the end of the rod.
12
b. Suppose you have a uniform cube of mass m with edges of length a. The moment of
inertia above an axis through its center of mass and perpendicular to one of its faces is
given by ICM =ma?. Find the moment of inertia through its edge (see figure below).
%3D
р-аxis
Figure 2. Cube rotating along an edge.
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