SERIO-COMIC VERSE. 627 



(4) The condition thus found after these preparations, 

 When duly combined with the former equations, 

 Will give you .another, in which differentials 



(5) (When the chain forms a circle), become in essentials 

 No harder than those that we easily solve 



(6) In the time a T totum would take to revolve. 



Now joyfully leaving ds to itself, a- 

 Ttend to the values of T and of a. 

 The chain undergoes a distorting convulsion, 

 Produced first at A by the force of impulsion. 

 In magnitude E, in direction tangential, 



(7) Equating this E to the form exponential, 

 Obtained for the tension when a is zero, 



It will measure the tug, such a tug as the " hero 

 Plume-waving " experienced, tied to the chariot. 

 But when dragged by the heels his grim head could not 

 carry aught, 



(8) So give a its due at the end of the chain, 

 And the tension ought there to be zero again. 

 From these two conditions we get three equations, 

 Which serve to determine the proper relations 

 Between the first impulse and each coefficient 



In the form for the tension, and this is sufficient 

 To work out the problem, and then, if you choose, 

 You may turn it and twist it the Dons to amuse. 



Equations referred to. 

 (1) dT = mV t ds 

 da 



(2) ... v -^ 





(4) 







ds 2 



