514 ON THE EXPLOSION OF THE BOILER 
K 
oil ae="O( att <x pat ) 
—pt 
By Integration p=" P (t+ 5 )+ ce; and, when =o, 
—pt 
=o; and therefore, = Gee -=} = mat - <t, 
Me M Me 
ete 1 
as an approximation ; for, 
Ke 
is much less than = 
id 
11. A given weight impinges horizontally upon 
eight beams, of equal dimensions, and of given 
strength, and breaks them all in succession ; it is 
required to find, with what velocity, the weight 
must tmpinge on the first beam, so that all its 
force may be exhausted, when it has broken the 
last beam; it being supposed, that the two ends 
of each beam are immovable, that each beam is 
perfectly elastic, and that the weight of each beam 
is so small, when compared with that of the im- 
pinging weight, that the weight of the beam may 
be neglected, and that the point of impact is at 
the middle of each beam. 
