19–1. The rigid body (slab) has a mass m and rotates with an angular velocity w 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 "P/G = kG/rG/o 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. a distance mVG P. VG rP/G G. rG|O

Elements Of Electromagnetics
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ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
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19–1. The rigid body (slab) has a mass m and rotates with
an angular velocity w 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
kG/rG/o from the mass center G. Here kg is the radius
axis
rP/G
of gyration of the body, computed about
perpendicular to the plane of motion and passing through G.
an
mVG
VG
rG0
Prob. 19–1
Transcribed Image Text:19–1. The rigid body (slab) has a mass m and rotates with an angular velocity w 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 kG/rG/o from the mass center G. Here kg is the radius axis rP/G of gyration of the body, computed about perpendicular to the plane of motion and passing through G. an mVG VG rG0 Prob. 19–1
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