Ch16_Summary

Ch16_Summary - bee29400_ch16_1024-1079.indd Page 1074

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1074 REVIEW AND SUMMARY In this chapter, we studied the kinetics of rigid bodies, i.e., the rela- tions existing between the forces acting on a rigid body, the shape and mass of the body, and the motion produced. Except for the first two sections, which apply to the most general case of the motion of a rigid body, our analysis was restricted to the plane motion of rigid slabs and rigid bodies symmetrical with respect to the reference plane. The study of the plane motion of nonsymmetrical rigid bodies and of the motion of rigid bodies in three-dimensional space will be considered in Chap. 18. We first recalled [Sec. 16.2] the two fundamental equations derived in Chap. 14 for the motion of a system of particles and observed that they apply in the most general case of the motion of a rigid body. The first equation defines the motion of the mass center G of the body; we have o F 5 m a (16.1) where m is the mass of the body and a the acceleration of G . The second is related to the motion of the body relative to a centroidal frame of reference; we wrote o M G 5 H . G (16.2) where H . G is the rate of change of the angular momentum H G of the body about its mass center G . Together, Eqs. (16.1) and (16.2) express that the system of the external forces is equipollent to the system consisting of the vector m a attached at G and the couple of moment H .

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This note was uploaded on 12/05/2011 for the course MEEG 324 taught by Professor Ib during the Fall '10 term at The Petroleum Institute.

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