UIAITKK II. 



< OMPOSITIOX AND EQUILIBRIUM OP FORCES ACTIXO 

 A PARTICLE. 



1 t. 



Wmw a particle is acted on by forces which do not 

 n equilibrium it will bo^in to more in OHM deter- 

 direct is clear then that a timgU force mar 



i of such a ma that if it act 



it in w would take plar- 



uM piwmt the motion, and consequently wosJd be 



t % \ f % 



i witli the other forces which act on the par- 

 u we were to remove the original force* and 

 replace them by a single force, equal in magnitude to thai 

 described above, but acting in the opposite direction, the par- 

 would still remain at rest. This force, which U eqaira- 

 lent to the combined effect of the original force*, i* 



and the original forces are called the 

 components of the resultant. 



ill be necessary then to begin by deducing rale* for 

 imposition of forces; that i.*, Hf finding their resultant 

 fore. we have detenu *e, it will be easy 



deduce the analytical relations which forces) must 



jtiilibrium. 



15. To find the resultant of a aiVsm nttmltr of fan** octimg 

 i the same straight lin* ; and to find th* CMtWsa 

 which they mutt satisfy that tlm may bs in MufKbrtttm. 



\\ <>r more forces act on a narticle in the same 



direc; rt^ultant force is equal to their 



:md acts in the same direct 



tions, but in the same 



straight line, on a particle, it is equally clear that the 

 sultA! r difference and acts in the direction of 



the greater compom 



