KX A MTUS* 

 1 



the other two is 

 f given weight rests on three planes whose 



cos a + y cos + * cos 7 0, 

 000 7i' 

 oos % -0, 



ax 



is of r being vertical pressure on each plane* 



9. A heavy triangle ABC is suspended from a point by 

 three stri: tally at right angles, attached to the angular 



triangle; if B lx .nation of the triangle 



horison in its position of equilibrium, then 



SjQI 



N i . .,.,-. I .,, /;-, 



10. An equilateral triangle without weight has three un- 

 equal particles placed at its angular points; the system U 

 suspended from a fixed point bv three equal strings at right 



s to each other fastened to the corners of the triangle; 

 .dilution of the plane of the triangle to the horison. 



J2*fn&. The cosine of the angle is -rrj ,', , 



vl a * ;l 



where H',, If, , H' t represent the weights of the partides. 



1 1 . Four nrnooth equal spheres are placed in a hemisphe- 

 rical bowl. 1 res of three of them arc in the same 



ntal plane, and that of the other is above it. 1: : 

 radius of each sphere be one-third that of the bowl, shew 

 that th< mutual pressures of the spheres are all equal; and 

 lin.l the pressure of each of the lower spheres on the bowl 



Result*. Let W be the weight of each of the spheres; 

 each of tho mutual pressures between the spheres is 



II" t If" 



; and ia the pressure of each of the lower spheres on 



o % > 







