MB 



A we i -t supports another weight Q by 



of a fine i la ; pausing over a rough < A hose 



I* the modulus of elasticity, /* the 



!" frirtion, and /* tin- radius of th- rvlind- r. 



tl at the extcn that part of the string w!. . coo* 



with tin r is 



* 



A sphere placed on a horizontal plane is divided bj a 

 two equal parts, which are j toge- 



ly an elastic string, which passes round the greatest 

 horizontal feet I the original length of the string. 



^ + 3>r 



ur equal heavy rods are fastened to one anoth 

 hinges so as to form a square ABCD ; A and C are connected 

 by an elastic string whose natural length is equal to the dia- 

 gonal A C, and the system is suspended from the point A ; 



*n of equilibrium. 



Resutf. 1. t II' be the weight of a rod, 6 the inclination 

 of each rod to the vertical ; then 



C' >S 



An elastic band, whose unstretched length is 2a, is 

 placed round four rough pegs A, B, C, D, which const inn. 

 the angular points of a square whose side is a ; if it be taken 

 hold of at a point P t between A and B, and pulled in the 

 AB, shew that it will begin to slip round A and B 

 he same time if 



i elastic string without weight of variable thickness 

 is extended by a given force ; find the whole extension. 



-i elastic string whose density varies as the distance 

 from one end, is suspended by that cud and stretched by its 



