6 Strom EVER, Explosions of Steam Pipes. 



The problem of the elastic blow can be illustrated as 

 in Figs. 3 to 6. 



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Fig 8 



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Fig 6 



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Fig 8 ■ ' 



In Fig. 3 we have a number of small blocks i, 2, 3, each 

 one of the mass ;//, and to each is attached a weightless 

 spring, the length of the block and spring combined being 

 (/+rt) when in an uncompressed condition, while when 

 compressed to the length / the pressure exerted by the 

 spring is /'. These blocks rest on a perfectly frictionless 

 surface, from which catches project at distances / ; these 

 catches are to be successively withdrawn, the interval of 

 time between each withdrawal being t. In Fig. 3, the 

 first catch has just been withdrawn, but the block has not 

 yet moved. In Fig. 4 the spring of block i has extended 

 to its full length (/+«), the time required to do this being 



- r^ • "\ while the velocity imparted to the block and 



spring in this time is V^ J — ^. After a lapse of time /, 

 the first block will have travelled to a distance 



