THE MOTION OF A POINT MASS ALONG A VIBRATING STRING

Citation
Nv. Derendyayev et In. Soldatov, THE MOTION OF A POINT MASS ALONG A VIBRATING STRING, Journal of applied mathematics and mechanics, 61(4), 1997, pp. 681-684
Citations number
5
ISSN journal
00218928
Volume
61
Issue
4
Year of publication
1997
Pages
681 - 684
Database
ISI
SICI code
0021-8928(1997)61:4<681:TMOAPM>2.0.ZU;2-V
Abstract
The Cauchy problem for a system of equations which described the undet ached motion of a point mass along a string is considered. The problem can be reduced to an initial-value problem for two integro-differenti al equations. If the initial velocities of the points of the string ar e zero, the problem reduces to the Cauchy problem for a system of thre e first-order ordinary differential equations. The problem with zero i nitial displacements is much simpler. The case of an impact along the string is considered in detail. (C) 1997 Elsevier Science Ltd. All rig hts reserved.