Ch16_Summary

# Ch16_Summary - bee29400_ch16_1024-1079.indd Page 1074...

This preview shows pages 1–2. Sign up to view the full content.

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 .

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
This is the end of the preview. Sign up to access the rest of the document.

{[ snackBarMessage ]}

### What students are saying

• As a current student on this bumpy collegiate pathway, I stumbled upon Course Hero, where I can find study resources for nearly all my courses, get online help from tutors 24/7, and even share my old projects, papers, and lecture notes with other students.

Kiran Temple University Fox School of Business ‘17, Course Hero Intern

• I cannot even describe how much Course Hero helped me this summer. It’s truly become something I can always rely on and help me. In the end, I was not only able to survive summer classes, but I was able to thrive thanks to Course Hero.

Dana University of Pennsylvania ‘17, Course Hero Intern

• The ability to access any university’s resources through Course Hero proved invaluable in my case. I was behind on Tulane coursework and actually used UCLA’s materials to help me move forward and get everything together on time.

Jill Tulane University ‘16, Course Hero Intern