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Two Problems on Impulsive Motion

Published online by Cambridge University Press:  03 November 2016

J. O’Keeffe
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Extract

There are two types of problem on impulsive motion which receive a somewhat cursory treatment in most of the standard text books on dynamics. The first, and more elementary, is as follows: Two rods AB and BC are jointed at B and an impulse J is applied to one of them at a certain point. Find the motion. As one of the steps in the solution of this problem we are usually recommended to take moments about the point B. But, we may remark, B is neither a fixed point nor the centre of gravity of the system. How then are we justified in taking moments about this point? This question will be considered in paragraph 2 below.

Type
Research Article
Information
The Mathematical Gazette , Volume 44 , Issue 348 , May 1960 , pp. 95 - 96
Copyright
Copyright © Mathematical Association 1960

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References

1. Ramsey, A. S., Dynamics, Part I, Cambridge, 1945, p. 216.Google Scholar
2. Ramsey, A. S., Dynamics, Part II, Cambridge, 1945, pp. 189, 193.Google Scholar
3. Milne, E. A., Vectorial Mechanics, London, 1948.Google Scholar
4. Smart, E. H., Advanced Dynamics, Vol. II, London, 1952, pp. 264, 378, 381.Google Scholar