Abstract: A general method for obtaining the differential equations governing motions of a class of nonholonomic systems is presented. Several supplementary theorems are stated, and the use of the method ...

Abstract: A method for the determination of changes induced in the time derivatives of the generalized coordinates of a mechanical system by the action of impulsive forces is presented. Several supplementary ...

Abstract: Particular solutions of the equations of motion of a heavy disk attached at the center of a light, vertical, elastic shaft are used to describe a variety of forms of whirling. The stability ...

Abstract: This paper deals with the following problem: Given the orientation of a rigid body B at time t0 and the angular velocity of B for t ≥ t0 , find the orientation of B for t ≥ t0 . An ...

Abstract: Part I of this paper deals with relationships between integrals of a set of nonlinear differential equations and integrals of equations obtained from such a set by a process of linearization. ...

Abstract: Theorems derived in Part I are here applied to differential equations of motion of mechanical systems. The theorems are reformulated in terms of variables appearing in dynamical equations of ...