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.
Physics for Scientists and Engineers, Technology Update (No access codes included)
9th Edition
ISBN:9781305116399
Author:Raymond A. Serway, John W. Jewett
Publisher:Raymond A. Serway, John W. Jewett
Chapter10: Rotation Of A Rigid Object About A Fixed Axis
Section: Chapter Questions
Problem 10.6OQ: Figure OQ10.6 shows a system of four particles joined by light, rigid rods. Assume a = b and M is...
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