A strategy for moving a mass from one point to another

Abstract

In many circumstances, it is desired to move a mass from one position to another without initiating a vibration in the mass being moved. Two such problems are considered here: the motion of a mass initiated by another mass, and the motion of a pendulum initiated by the specified motion of its support. In each case, it is desired that the system start at rest and come to rest in the second position. A simple strategy for the specified motion is given here. The method is motivated by engine cam-follower design. The force required to move the system in question is determined as well as the maximum value of the force required (and the times at which these forces take place) is determined.