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19-1. The rigid body (slab) has a mass m and rotates with an angular velocity o about an axis passing through the fixed point O. Show that the momenta of all the particles composing the body can be represented by a single vector having a magnitude mvg and acting through point P, called the center of percussion, which lies at a distance rp|G = ka/rGjo from the mass center G.Here kg is the radius of gyration of the body, computed about an axis perpendicular to the plane of motion and passing through G. mvG NG TPG G.

19-1. The rigid body (slab) has a mass m and rotates with an angular velocity o about an axis passing through the fixed point O. Show that the momenta of all the particles composing the body can be represented by a single vector having a magnitude mvg and acting through point P, called the center of percussion, which lies at a distance rp|G = ka/rGjo from the mass center G.Here kg is the radius of gyration of the body, computed about an axis perpendicular to the plane of motion and passing through G. mvG NG TPG G.

Elements Of Electromagnetics
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
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19-1. The rigid body (slab) has a mass m and rotates with an angular velocity o about an axis passing through the fixed point O. Show that the momenta of all the particles composing the body can be represented by a single vector having a magnitude mvg and acting through point P, called the center of percussion, which lies at a distance rp|G = ka/rGjo from the mass center G.Here kg is the radius of gyration of the body, computed about an axis perpendicular to the plane of motion and passing through G. mvG NG TPG G.
Transcribed Image Text:19-1. The rigid body (slab) has a mass m and rotates with an angular velocity o about an axis passing through the fixed point O. Show that the momenta of all the particles composing the body can be represented by a single vector having a magnitude mvg and acting through point P, called the center of percussion, which lies at a distance rp|G = ka/rGjo from the mass center G.Here kg is the radius of gyration of the body, computed about an axis perpendicular to the plane of motion and passing through G. mvG NG TPG G.
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