## Solution for Engineering Mechanics: Dynamics 14th Edition Chapter 19, Problem 1

by Russell C. Hibbeler
1222 Solutions 11 Chapters 127149 Studied ISBN: 9780133915389 5 (1)

# Chapter 19, Problem Problem 1 : 19-1. The rigid body (slab) has a mass...

19-1. The rigid body (slab) has a mass m and rotates with an angular velocity 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 and acting through point P, called the center of percussion, which lies at a distance rP/G =k2G / rG/Ofrom the mass center G. Here is the radius of gyration of the body, computed about an axis perpendicular to the plane of motion and passing through G.

## Step-By-Step Solution

19-1. The rigid body (slab) has a mass m and rotates with an angular velocity 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 and acting through point P, called the center of percussion, which lies at a distance rP/G =k2G / rG/Ofrom the mass center G. Here is the radius of gyration of the body, computed about an axis perpendicular to the plane of motion and passing through G.

SOLUTION