KLLANKOU8 EXAMPLES. J' I 



'id of m string is fastened to a point in a smooth 

 il wall, tip- nther t<> u |H.int iii tli. renco of the 



base of a equilibrium, ha\ 



'i tlu- \\ 



>w the point in the wall to which 

 the string is fastened. 



Result. Suppose r I distance, / 



the striiiLT, / the hcig: liamcter 



base; then 



ids of a strinp: arc fa two fix- 



rom knots nt t* in the stri 



ung; shew t! .rizontal compoi: :o tension 



all the portions into u :ig i 



w also that if t: t* are all 



eoual the tangents of the angles which the successive po- 

 ol i hi- .-trip / make with the horizon ar< 



p-i-ssioii. Sa.-ii a -v>tria i- i\;ll I a i'mti n '.-/ /' ; ../< 



Two uniform beams loosely at one 



1 ii]x>n the smooth arc of a parabola, whose a 

 tl ami vntcx upwards. If / be the semi-latus n 

 parabola, and <i, 6, the lengths of the beams, shew 

 [nilibriu Mglea to each otlu : 



= < 



and of equilibrium. 



35. A quadrilateral is formed b\ %>d at 



>!i.\v that two of its sides must be parallel in order 

 that r tl form whm tin- nu.hlh- joints of 



[K>site sides are joined together by a string in a state 

 -ion. 



ur rods, jointr.l at their extremities, form a quadri- 



lateral, which may be inscriU-<l in a d be kept 



> string- *ite angular 



the tension of each at raely pro- 



1 -ur equal and uniform heavy rods being jointed by 



