Linear and Angular Momentums

Abstract

In this chapter linear and angular momentums for bodies during mass variation are determined. Separation of a body from an initial one causes its jump-like mass variation. Besides, the body changes its moment of inertia, too. If mass is added to an initial body, its mass jump-like increases. Usually, during mass addition moment of inertia of the body is also varying. During mass separation an initial body is separated into two parts: a separated body and a remained (final) body, while during mass addition an initial and an added body, form a new final body. In Fig. 2.1 the model of mass separation and in Fig. 2.2 of mass addition is shown. For both processes of mass variation, it is assumed that initial, added or separated body and the final body form a unique system. This assumption is the basic criteria for determination of velocity and angular velocity of the final body after mass variation. In this chapter moment and angular moment during mass separation or addition are determined. It is assumed that during mass variation moment and angular moment of the system are varying. Difference between moments before and after separation or mass addition is determined. Besides, difference between angular moments before and after mass variation is also obtained. These relation will be the basic ones for other consideration in this book.