a 



PARTICLE OX A BUW 



a tmooth curve we understand a cum? Out CM only 

 in a direction nwW to the 



the force* acting on the particle in 

 rectangular axea, exdtuive of ihr 



arc meafured from tome 

 ; .y Analrtical 

 Geometry of t uu the coeinea of the angle* u 



ve at the pobt (x, y, M) makea with thr 



axea are ^ f reapectirelr. Tbe force* acting on 



oing resolved along the tangent to the 

 i U 





,. y 



,- -h ) 

 d* d* J* 



re \\ill In- ij. tiling to prevent tic 

 t rum Hi" uiu.il h~ 



s- 



huldfl the particle will remain at 



rest, for t no force to make it move a/ony Uc cra f 



capable. 



imposed the particle to be placed inside a tubr 



c particle U 



merely placed in con*/ /mtfar neces- 



sary : in tiiat tiio resultant tofcea should 



press t H*t the curve and not move ii /rw 





7 etermne /s conton* o stvtrtim r< 



ny force* and cvn*tnn*<J to remain on a yt*r* 



