EXAMPLES. : ; 



:lc. Shew that the modulo* 



II" 



II' b.-in- tii.- xs 



of the disc. 



round txv dcrs 



rfaces are in contact and axes parallel, the m 



d beyond its natural )< i tin* 



angles, so 



axes are again parallel : find n of the t: 



posing a weight t" 1 IK. \\.-uld Bt retch it to twice its natural 

 length. 



Rmh. 2LH- O falb. 

 ir 4-2 



Two equal and similar elastic st. <? 9 BC, fixed 



<; same horizontal lin< , Bunport a 



ility and original lengths 



ng given, find an cquatio? ining 



h each string is in- iron, 



deduce an approximate value of the angle when the 



extensibility is very small. 



I equal rods a "ges at < 



one of the rods being supported in 

 the opp<> .- fastened to it by an cla>t 



ing t i >ints. Supposing the modulus of ela* i 



is equal to th of each rod, 



the string in ord.-r that the hexagon may be equiangular in 

 its position of equilibrium. 



Result. is the length of a rod. 



8. retched elastic string without weight has n equal 



weiehts attached to it at equal distances, and is then sus- 

 pended from one end. Prove that the increase of l<n?th is 

 A- hat it would be if the same string were stretched by a 

 weight equal to n + 1 of the former hanging at one 



ree equal cylindrical rods are placed symmetrically 



th of the same radius, and the bun<! 

 d by two equal clastic bands at equal distances 



